Question

If the adjoining circuit is connected to a $250volt$ alternating voltage. The potential different across the $\left(i\right)$ resistor $\left(ii\right)$ capacitor.

Answer 1

The impedance is given as,

$\left|Z\right|=\sqrt{{\left(30\right)}^2+{\left(40\right)}^2}$

$\left|Z\right|=50\Omega$

The current in the circuit is given as,

$V=IZ$

$250=I\times 50$

$I=5A$

The potential across the resistor is given as,

$V_R=IR$

$V_R=5\times 40$

$V_R=200V$

The potential across the capacitor is given as,

$V_C=I{X}_C$

$V_C=5\times 30$

$V_C=150V$