A sinusoidal supply of frequency 10 ,Hz and r.m.s. voltage 12 ,V is connected to a 2.1 ,μ F capacit

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7.Alternating Current

easy

A sinusoidal supply of frequency $10 \,Hz$ and $r.m.s.$ voltage $12 \,V$ is connected to a $2.1 \,\mu F$ capacitor. What is $r.m.s.$ value of current is .......... $mA$

A

$5.5$

B

$20$

C

$26$

D

$1.6$

Solution

(d)

$f=10 \,Hz , V_{ rms }=12 \,V , C =2.1 \,\mu F$

$I_{ rms }=\frac{V_{ rms }}{X_c}, \quad X_c=\frac{1}{\omega C}$

$\omega=2 \pi f$

Putting all values

$I_{\operatorname{mas}} \cong 1.6 \,mA$

Standard 12

Physics

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