Question

A capacitor is connected to an ac generator that has a frequency of 3.2 kHz and produces a rms voltage of 2.0 V. The rms current in the capacitor is 28 mA. When the same capacitor is connected to a second ac generator that has a frequency of 4.7 kHz, the rms current in the capacitor is 70 mA. What rms voltage does the second generator produce

Answer 1

The rms voltage of new generator is 3.4 V.

Step-by-step explanation:

f = 3200 Hz

rms voltage, V = 2 V

rms current, i = 28 mA

Now

f' = 4700 Hz

rms current, i' = 70 mA

let the new rms voltage is V'.

`i = (V)/(Xc) = V * 2\pi fC....(1)\\\\i' = V' * 2 \pi f' C..... (2)\\\\(i)/(i') =(V f)/(V' f')\\\\(28)/(70)=(2* 3200)/(V'* 4700)\\\\V' = 3.4 V`