Solveeit Logo

Question

Question: If a capacitor of is connected to a 220 V, 100 Hz ac source and the current passing through it is 65...

If a capacitor of is connected to a 220 V, 100 Hz ac source and the current passing through it is 65 mA, then the rms voltage across it is

A
  1. 4 V
B

12.94 V

C

1.294 V

D

15 V

Answer

12.94 V

Explanation

Solution

: Here, ,

C=8μ F=8×106 F\mathrm { C } = 8 \mu \mathrm {~F} = 8 \times 10 ^ { - 6 } \mathrm {~F}

Capacitive reactance, ,

=12×3.14×100×8×106= \frac { 1 } { 2 \times 3.14 \times 100 \times 8 \times 10 ^ { - 6 } }

=199Ω= 199 \Omega

Then rms voltage across the capacitor is