Ampere - Definition, Formula, Symbol, Conversion FAQs

Ampere - Definition, Formula, Symbol, Conversion FAQs

Edited By Vishal kumar | Updated on Jul 02, 2025 04:23 PM IST

The unit of electric current, ampere plays an important role in fields related to electricity. Electrical circuits can be comprehended by capturing the concept of using ampere. In this article, we will discuss the definition of ampere, the origin of an ampere, the ammeter, and its symbol, ampacity, and the important formulas related to ampere.

This Story also Contains
  1. Origin of Ampere
  2. Define 1 Ampere
  3. 1 Ampere Is Equal To
  4. Ampere Unit in CGS and MKS System of Units
  5. Ampere Formula
  6. What Is An Ammeter?
  7. What is The Definition of Ampacity?
  8. Formulae Involving Ampere
Ampere - Definition, Formula, Symbol, Conversion FAQs
Ampere - Definition, Formula, Symbol, Conversion FAQs

Origin of Ampere

The ampere is the fundamental unit of electric flow. It is commonly abbreviated as "amp". Ampere is named after André-Marie Ampère (1775–1836), the father of electrodynamics.
father of electrodynamics

By measuring the electromagnetic power between electrical conductors that transport the electric flow, the International System of Units characterizes one-ampere in terms of other base units. An ampere is also called an amp.

The previous CGS estimation framework included two different definitions of current, one that was nearly identical to the SI units and the other that used electric charge as the basis unit, with the unit of charge defined by estimating the power between two charged metal plates. The ampere is defined as 1 coulomb of charge per second at the time. The coulomb, a SI unit of charge, is defined as the charge carried by one-ampere electric current for one second.

On and after May 20, 2019, new definitions for invariant constants of nature, specifically the primitive charge, will be declared public and used.

Also read -

Define 1 Ampere

One ampere is equal to the rate of flow of charge of one coulomb in one second.1 Ampere definition is "Ampere is that constant current which, if maintained in two straight parallel wires of infinite length, insignificant circular cross-section as well as placed one meter apart in vacuum, would produce a force equal to $2 \times 10^{-7} \mathrm{~N} / \mathrm{m}$ of length between these conductors." An ampere is a unit of electric current.

one ampere in columbian form

1 Ampere Is Equal To

Between two parallel wires transmitting an electric flow, there is an attracting or repulsive force, according to Ampère's force law. The ampere's formal meaning makes use of this power. The Coulomb is defined as "the amount of power delivered in 1 second by a current of 1 ampere watt" by the International System of Units. A current of one ampere is equal to, one coulomb of passing through a specific place every second: charge Q is usually determined by a steady current I flowing for a time t, as $Q = It$.

The charge amassed, or neglected, across a circuit is transmitted in coulombs, while the consistent, instantaneous, and usual current is given in amperes as in "charging current is $1.2 A$"The ampere's $(\mathrm{C} / \mathrm{s})$ relationship to the coulomb is the same as the watt's $(\mathrm{J} / \mathrm{s})$ connection to the joule.

Ampere Unit in CGS and MKS System of Units

In the centimetre–gram–second (CGS) system of units, the ampere was originally defined as one-tenth of a unit of electric flow. The ampere, as it is today known, was defined as the unit of current that produces a power of two dynes for every centimetre of length between two wires separated by one centimetre. The unit's length was chosen such that the units obtained from it in the MKSA framework could be usefully estimated. The "global ampere," defined as the present that could store $0.001118$ grams of silver every second from a silver nitrate setup, was an early recognition of the ampere.

Following it, more exact calculations revealed that the current is $0.99985 A$.

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Ampere Formula

Because power is defined as the product of current and voltage, the ampere may be converted to other units using the formula $I=P/V$, and one amp equals one watt/one volt.

$$1 \mathrm{~A}=\frac{1 \mathrm{~W}}{1 \mathrm{~V}}$$
A multimeter, a device that measures electrical voltage, flow, and resistance, can be used to determine flow. The standard ampere is most precisely measured with a Kibble balance, but it is commonly maintained using Ohm's law, which is derived from the units of electromotive power and opposition, the volt and the ohm, respectively, because the last two can be applied to physical phenomena that are relatively easy to repeat, the Josephson intersection and the quantum Hall effect.

Rather than defining the ampere in terms of the power between two current-carrying wires, it has been suggested that the ampere be defined in terms of the rate of the stream of basic charges.

Because a coulomb is about equivalent to $6.241509 \times 10^{18}$ element charges. One ampere is roughly equivalent to $6.241509 \times 10^{18}$ basic charges going through a limit in one second.

($6.241509 \times 10^{18}$ is proportional to the coulombs estimated for the basic charge). The proposed alteration will transform $1A$ into a stream of a specific number of rudimentary charges every second, similar to the current.

The International Committee for Weights and Measures (CIPM) agreed to consider the proposed amendment in 2005. The revised definition was discussed at the 25th General Conference on Weights and Measures (CGPM) in 2014, but it was not accepted for the time being. An ampere-hour is a unit of electric charge.

The current drawn by most constant-voltage energy distribution systems is usually determined by the system's power (watt) and operational voltage. The samples below are organized by voltage level to correspond to the reasons stated above.

What Is An Ammeter?

An ammeter (short for ampere meter) is a measuring device used to determine the current in a circuit. The name comes from the fact that electric flows are measured in amperes (A). Milliammeters and microammeters are terms for instruments that measure small fluxes in the milliampere or microampere range. Early ammeters were research equipment whose activity was based on the Earth's attractive field. Improved instruments, which could be put in any position and allowed precise calculations in electric power frameworks, were developed by the late nineteenth century.

Voltmeter and Ammeter diagram

Symbol of Ammeter

The symbol of the ampere is the capital letter $\mathrm{A}$.

Symbol of Ammeter

Ammeters have a very low resistance to current flow, and they are always connected in a circuit. An ammeter (short for ampere meter) is a measuring device used to determine the current in a circuit. The name comes from the fact that electric flows are measured in amperes (A). Milliammeters and microammeters are terms for instruments that measure small fluxes in the milliampere or microampere range.

Conversion of amps to milliamps

$1 \mathrm{~A}=1000 \mathrm{~mA}$

Conversion of milliamps to amps

1 milli ampere equals to 0.001 amps

$1 \mathrm{~mA}=10^{-3} \mathrm{~A}$

Conversion of microamps to amps

1 microampere is equal to 0.000001 ampere

$ 1 \mu A=10^{-6}$ $(\mathrm{A})$

What is The Definition of Ampacity?

In several North American countries, ampacity is a broader category than ampere capacity as stated by National Electrical Codes. Ampacity is the maximum current, measured in amperes, that a conductor can carry continuously under normal operating conditions without exceeding its temperature rating. Current-carrying capacity is another term for it.

The ability of a conductor to disperse heat without causing damage to the conductor or its insulation is crucial to its ampacity. This is determined by the temperature rating's insulation, the conductor material's electrical resistance, the ambient temperature, and the insulated conductor's capacity to dissipate heat to the environment.

There is some resistance to the passage of electricity in all conventional electrical conductors. The voltage drop and power loss caused by current electricity running through these conductors warms them. Copper and aluminum may transmit a large amount of current without causing damage, but insulation would almost certainly be harmed by the resulting heat long before conductor degradation.

The ampacity of a conductor is commonly calculated using the physical and electrical qualities of the conductor's material and construction, as well as its insulation, ambient temperature, and environmental circumstances. If the environment can absorb the heat, a large total surface area can effectively dissipate heat.

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Formulae Involving Ampere

1. Ohm's Law

$$I=\frac{V}{R}$$

where,

  • $I$ is the current (in ampere)
  • $V$ is the voltage ( in volts)
  • $R$ is the resistance ( in ohms)

2. Power

$P=I \times V$

where,

  • $P$ is the power (in watts)
  • $I$ is the current ( in ampere)
  • $V$ is the voltage (in volts)

3. Joule's Law

The equation for Joule's law is given as:

$H=I^2 R t$

where,

  • $H$ is the heat ( in joules)
  • $I$ is the current ( in ampere)
  • $R$ is the resistance ( in volts)
  • $T$ is time ( in seconds)

4. Ampere's Law

The equation for Ampere's law is:

$B=\frac{\mu_0 I}{2 \pi r}$

where,

  • $B$ is the magnetic field (in Teslas)
  • $I$ is the current ( in ampere)
  • $r$ is the distance

5. Equation Relating Current and Charge

$I=\frac{Q}{t}$

where,

  • $I$ is the current ( in ampere)
  • $Q$ is the electric charge ( in coulombs)
  • $t$ is the time ( in seconds)

In short, Ampere is the unit of electric current in the international system of units. The practical applications are used in electronic devices for industrial purposes as well as household purposes. The ampere is defined as the flow of one coulomb of electric charge in one second. In this article, we discussed the origin of an ampere, the definition of the ampere, the ampere formula, the ammeter, and formulas related to ampere.

Frequently Asked Questions (FAQs)

1. Explain the distinction between Volt and Ampere

The current is measured in amps, whereas the voltage is recorded in volts.

2. Define 1 ampere.

In a second, a current of 1 A equates to the transmission of 6.24×1018 charge carriers through a given site.

3. Convert two amps to milliamps.

1 A= 1000 mA

2A=2×103mA

4. What is amp fullform?

Amp fullform is Ampere

5. What is the relation between voltage and current?

V= IR

Where, V is the voltage , I is the current and R is the resistance.

6. How does Ampère's law differ from Biot-Savart law?
Ampère's law relates the magnetic field around a closed loop to the current enclosed by that loop, while the Biot-Savart law calculates the magnetic field at a specific point due to a current-carrying wire. Ampère's law is more general and can be applied to symmetric situations, while Biot-Savart is used for more complex geometries.
7. What is the significance of Ampère's circuital law in electromagnetism?
Ampère's circuital law is significant because it provides a way to calculate magnetic fields produced by electric currents. It's one of Maxwell's equations, forming a cornerstone of classical electromagnetism and demonstrating the fundamental connection between electricity and magnetism.
8. What is the difference between Ampère's law and the Ampère-Maxwell law?
Ampère's law applies only to steady currents, while the Ampère-Maxwell law includes Maxwell's modification with the displacement current term. This allows it to be applied to time-varying fields and is essential for describing electromagnetic waves.
9. What assumptions are made when applying Ampère's law?
When applying Ampère's law, we assume steady currents (not changing with time), and we often use symmetry to simplify calculations. We also assume that the system is in a vacuum or a non-magnetic medium unless otherwise stated.
10. How does Ampère's law relate to the concept of magnetic field lines?
Ampère's law is consistent with the concept of magnetic field lines. The law shows that magnetic field lines form closed loops around electric currents, with no beginning or end, which aligns with the idea that magnetic monopoles do not exist.
11. What is the significance of the constant μ₀ in Ampère's law?
The constant μ₀, known as the permeability of free space, appears in Ampère's law and relates the strength of the magnetic field to the current producing it. It's a fundamental constant in electromagnetism and has a defined value in SI units.
12. How does Ampère's law apply to systems with multiple currents?
For systems with multiple currents, Ampère's law considers the total current enclosed by the Amperian loop. The magnetic fields from different currents superpose, and the law relates the net field to the total enclosed current.
13. What is the relationship between Ampère's law and the magnetic vector potential?
The magnetic vector potential is a mathematical tool that can be used to derive magnetic fields. Ampère's law can be expressed in terms of the curl of the magnetic vector potential, providing an alternative way to calculate magnetic fields.
14. What is the significance of the curl of the magnetic field in Ampère's law?
The curl of the magnetic field, which appears in the differential form of Ampère's law, represents the circulation of the magnetic field. It's proportional to the current density, showing how currents create circulating magnetic fields.
15. What is the relationship between Ampère's law and conservation of charge?
Ampère's law, in its original form, is consistent with conservation of charge for steady currents. However, Maxwell's addition of the displacement current term made it consistent with charge conservation even for time-varying fields.
16. What is an amperian loop, and why is it important in applying Ampère's law?
An amperian loop is a hypothetical closed path used in applying Ampère's law. It's important because Ampère's law relates the line integral of the magnetic field around this loop to the current enclosed by it, allowing us to calculate magnetic fields in situations with symmetry.
17. What is the relationship between Ampère's law and Faraday's law of induction?
Ampère's law and Faraday's law of induction are complementary. While Ampère's law shows how currents create magnetic fields, Faraday's law describes how changing magnetic fields induce electric currents. Together, they form part of the foundation of electromagnetism.
18. What is the importance of the closed loop in Ampère's law?
The closed loop in Ampère's law is crucial because it allows us to relate the magnetic field around the entire path to the current enclosed. This closed-path integral is what makes Ampère's law powerful for calculating magnetic fields in symmetric situations.
19. What is Ampère's law and how does it relate to magnetic fields?
Ampère's law states that the line integral of the magnetic field around a closed loop is proportional to the electric current enclosed by that loop. It relates the magnetic field to the electric current that produces it, showing how moving charges create magnetic fields.
20. How does Ampère's law relate to Gauss's law for magnetism?
Ampère's law and Gauss's law for magnetism are both fundamental laws of electromagnetism. While Ampère's law relates magnetic fields to electric currents, Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero, reflecting the non-existence of magnetic monopoles.
21. How does Ampère's law demonstrate that parallel current-carrying wires attract each other?
Ampère's law shows that parallel current-carrying wires create magnetic fields around them. When these fields interact, wires carrying currents in the same direction experience an attractive force, while those with opposite currents repel each other.
22. How does Ampère's law apply to a toroidal coil?
For a toroidal coil, Ampère's law shows that the magnetic field is confined within the torus. The field strength varies inversely with the distance from the center of the torus, and there is no magnetic field outside an ideal toroid.
23. Can Ampère's law be applied to non-steady currents?
Ampère's law in its original form applies only to steady currents. For non-steady currents, Maxwell modified Ampère's law by adding a displacement current term, which accounts for changing electric fields.
24. Why is Ampère considered one of the founders of electromagnetism?
Ampère is considered a founder of electromagnetism because he discovered that electric currents produce magnetic fields. He formulated Ampère's law and contributed significantly to our understanding of the relationship between electricity and magnetism.
25. What is the SI unit of electric current, and why is it named after Ampère?
The SI unit of electric current is the ampere (A), named after André-Marie Ampère. It honors his significant contributions to the field of electromagnetism, particularly his work on the relationship between electric currents and magnetic fields.
26. What is the limitation of Ampère's law in its original form?
The main limitation of Ampère's law in its original form is that it only applies to steady currents. It doesn't account for time-varying electric fields, which Maxwell addressed by adding the displacement current term.
27. What is the right-hand rule in Ampère's law, and how is it used?
The right-hand rule in Ampère's law is a method to determine the direction of the magnetic field around a current-carrying wire. Pointing your thumb in the direction of the current, your fingers will curl in the direction of the magnetic field lines around the wire.
28. What is the displacement current term in Maxwell's modification of Ampère's law?
The displacement current term, added by Maxwell to Ampère's law, accounts for changing electric fields. It allows the law to be applied to non-steady currents and is crucial for explaining electromagnetic waves.
29. How does Ampère's law explain the magnetic field inside a solenoid?
Ampère's law explains that the magnetic field inside a solenoid is uniform and parallel to its axis. The field strength is proportional to the number of turns per unit length and the current in the wire. Outside the solenoid, the field is much weaker, approaching zero for an ideal, infinite solenoid.
30. How does Ampère's law relate to the concept of magnetic flux?
While Ampère's law doesn't directly involve magnetic flux, it's related to how changing magnetic flux induces currents (Faraday's law). The current in Ampère's law can be the source current or an induced current resulting from changing magnetic flux.
31. How does Ampère's law relate to the concept of magnetic field energy density?
While Ampère's law doesn't directly give the magnetic field energy density, it's used in deriving expressions for magnetic field energy. The energy density is proportional to the square of the magnetic field strength, which can be calculated using Ampère's law.
32. How can Ampère's law be used to calculate the magnetic field inside a wire carrying current?
Ampère's law can be used to show that the magnetic field inside a wire carrying current increases linearly from zero at the center to a maximum at the surface. The field outside the wire decreases inversely with distance from the wire's axis.
33. What is the role of symmetry in applying Ampère's law?
Symmetry is crucial in applying Ampère's law because it allows us to simplify the calculation of the line integral. In symmetric situations, the magnetic field magnitude is often constant along the Amperian loop, making the integration straightforward.
34. How does Ampère's law apply to a uniformly magnetized material?
For a uniformly magnetized material, Ampère's law can be applied by considering both the free currents and the bound currents (arising from aligned magnetic moments). The total current in the law includes both these contributions.
35. How does Ampère's law apply to a system with both electric and magnetic fields?
In systems with both electric and magnetic fields, the Ampère-Maxwell law (which includes the displacement current term) must be used. This law shows how changing electric fields contribute to the magnetic field, even in the absence of conduction currents.
36. How does Ampère's law apply to an infinite sheet of current?
For an infinite sheet of current, Ampère's law shows that the magnetic field is parallel to the sheet and perpendicular to the current. The field strength is constant on either side of the sheet but in opposite directions, and it doesn't depend on the distance from the sheet.
37. How does Ampère's law demonstrate the non-conservative nature of magnetic fields?
Ampère's law shows that the line integral of the magnetic field around a closed loop is non-zero when there's a current enclosed. This non-zero result demonstrates that magnetic fields are non-conservative, unlike electric fields in electrostatics.
38. How does Ampère's law apply to a coaxial cable?
For a coaxial cable, Ampère's law shows that there's no magnetic field inside the inner conductor. Between the conductors, the field decreases with distance from the center, and outside the outer conductor, the field is zero if the currents in both conductors are equal and opposite.
39. How does Ampère's law explain the magnetic field around a long, straight wire?
Ampère's law shows that the magnetic field around a long, straight wire forms concentric circles around the wire. The field strength decreases inversely with distance from the wire, and the field direction follows the right-hand rule.
40. How does Ampère's law demonstrate the non-existence of magnetic monopoles?
Ampère's law, along with Gauss's law for magnetism, implies that magnetic field lines always form closed loops. This is consistent with the non-existence of magnetic monopoles, as monopoles would require magnetic field lines to begin or end.
41. How does Ampère's law relate to the concept of magnetic dipoles?
While Ampère's law doesn't directly describe magnetic dipoles, it can be used to calculate the magnetic field produced by current loops, which behave as magnetic dipoles. The law thus provides a foundation for understanding magnetic dipole behavior.
42. What is the significance of Ampère's law in understanding electromagnetic waves?
Ampère's law, especially in its modified form (Ampère-Maxwell law), is crucial for understanding electromagnetic waves. It shows how changing electric fields can create magnetic fields, which is essential for the propagation of electromagnetic waves.
43. How does Ampère's law apply to a thin, cylindrical shell carrying a current?
For a thin, cylindrical shell carrying a current, Ampère's law shows that there's no magnetic field inside the shell. Outside the shell, the magnetic field is the same as that of a long, straight wire carrying the same current.
44. What is the role of Ampère's law in the derivation of Maxwell's equations?
Ampère's law, in its modified form with Maxwell's displacement current term, is one of the four Maxwell's equations. It plays a crucial role in the complete description of classical electromagnetism and the derivation of the electromagnetic wave equation.
45. What is the significance of Ampère's law in understanding the magnetic fields of planets and stars?
Ampère's law helps explain the origin of magnetic fields in planets and stars. These fields are generated by electric currents in their conductive interiors, and Ampère's law describes how these currents create large-scale magnetic fields.

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Questions related to

Have a question related to ?

Correct Answer: Kelvin


Solution : Given:
Electric current : Ampere :: Thermodynamic Temperature : ?

Like, the unit used to measure electric current is an ampere.
Similarly, the unit used to measure thermodynamic temperature is kelvin.

Hence, the second option is correct.

Correct Answer: Depth of Water


Solution : Given:
Ampere : Electric Current :: Fathom : ?

The ampere is a unit of measurement used to quantify electric current.
Similarly, a fathom is a unit used to measure the depth of water.

Hence, the first option is correct.

Correct Answer: Force : Newton


Solution : Given:
Electric Current : Ampere (Ampere is the unit of electric current.)

Let's check each option –
First option: Temperature : Watt; A Watt is the unit of electrical power not for temperature.
Second option: Joule : Work; Joule is the unit of measurement for work but the words are written in the reverse order.
Third option: Resistance : Seconds; Resistance is typically measured in ohms, not seconds.
Fourth option: Force : Newton; The unit of measurement for force is Newton.

So, only the fourth option follows the same pattern as followed by the given pair. Hence, the fourth option is correct.

Correct Answer: Tesla


Solution : The correct answer is Tesla.

The field intensity producing one newton of force per ampere of current per meter of the conductor is known as one tesla (1 T). A Tesla is equivalent to one ampere and one Newton per meter. A prime example demonstrates this: It is precisely equivalent to the flux density of a Tesla, which acts as an exact 1 Newton attraction on a one-meter-long electrical conductor that conveys a current of 1 ampere.

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