Question : The heating of a coil is proportional to the nth power of the time of flow of current through it, where n is equal to:
Option 1: +2
Option 2: -2
Option 3: +1
Option 4: -1
Correct Answer: +1
Solution : The correct option is +1
Q=I n ⋅t, the heating of the coil is directly proportional to the time of flow of current through it. In other words, the heat produced (Q) is directly proportional to the product of current (I) and time (t).
Mathematically, n=1:
Q=I⋅t
This means that if you double the current or double the time, the amount of heat produced will also double, assuming other factors remain constant. The relationship is linear in this case.
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