A sinusoidal supply of frequency 10 ,Hz and r | vedclass

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(D) Given: Frequency $f = 10 \,Hz$,$r.m.s.$ voltage $V_{rms} = 12 \,V$,and capacitance $C = 2.1 \,\mu F = 2.1 	imes 10^{-6} \,F$.The capacitive react

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$1.6$

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(D) Given: Frequency $f = 10 \,Hz$,$r.m.s.$ voltage $V_{rms} = 12 \,V$,and capacitance $C = 2.1 \,\mu F = 2.1 	imes 10^{-6} \,F$.The capacitive reactance $X_c$ is given by $X_c = \frac{1}{\omega C} = \frac{1}{2 \pi f C}$.Substituting the values:$X_c = \frac{1}{2 	imes 3.14159 	imes 10 	imes 2.1 	imes 10^{-6}} \approx \frac{1}{1.319 	imes 10^{-4}} \approx 7580 \,\Omega$.The $r.m.s.$ current $I_{rms}$ is given by $I_{rms} = \frac{V_{rms}}{X_c}$.$I_{rms} = \frac{12}{7580} \approx 0.001583 \,A$.Converting to $mA$:$I_{rms} \approx 0.001583 	imes 1000 \,mA \approx 1.583 \,mA \approx 1.6 \,mA$.

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

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