Question

An AC generator with an output rms voltage of 18.0 V at a frequency of 60.0 Hz is connected across a 85.0-μF capacitor. Find the following. (a) capacitive reactance (b) rms current (c) maximum current in the circuit (d) Does the capacitor have its maximum charge when the current takes its maximum value? O Yes O No

Answer 1

(A) 31.22 ohm (B) 0.5765 A (C)0.8152 A (D) yes

Step-by-step explanation:

We have given voltage V =18 volt

Frequency f=60 Hz

Capacitance
`C=85\mu F=80* 10^(-6)F`

(A) Capacitive reactance
`X_C=(1)/(\omega C)=(1)/(2\pi fC)=(1)/(2* 3.14* 60* 85* 10^(-6))=31.22ohm`

(B) Rms current
`i=(V)/(X_C)=(18)/(31.22)=0.5765A`

(C) Maximum current
`i_m=√(2)i_(rms)=1.414* 0.5765=0.8152A`

(D) We know that charge Q=current ×time , so from the relation we can see that if current will be maximum then charge will also be maximum