A sinusoidal voltage of peak value 283 volt and frequency 50 Hz is applied to a series LCR circuit R=3 oam L=25.48 mH , C=796 F find the indendance of the circuit and power factor.
To find the impedance of the circuit, we first calculate X L and X C .
X L = 2 π ν L
= 2 × 3.14 × 50 × 25.48 × 10 –3 W = 8 W
X C = (1/2 π ν C)
= (1/ 2 × 3.14 × 50 × 796 x 10 -6 )
= 4Ω
Therefore,
Z = √R 2 + (X L − X C ) 2 =√(3) 2 + (8 − 4) 2
= 5 Ω (Ans)
Phase difference, f = tan –1 (X C – X L )/(R)
=tan -1 ((4-8)/(3))
=-53.1 0
Power factor = cos = cos53.1° = 0.6 (Ans)