Question

In a given circuit, if RMS voltage across resistance and capacitor are 25 V and 30 V, then peak voltage across inductor will be

• A. $5V$
• B. $25V$
• C. $5\sqrt{2}V$
• D. $25\sqrt{2}V$

Answer 1

The correct option is C $5\sqrt{2}V$

$(\frac{50}{\sqrt{2}}{)}^2={25}^2+(V_L-30{)}^2$
$1250-625=(V_L-30{)}^2\Rightarrow 625=(V_L-30{)}^2$
$\pm 25=V_L-30\Rightarrow V_L=55or{V}_L=5$
$\therefore V_{L}peak=55\sqrt{2}or{V}_{L}peak=5\sqrt{2}$