Question

In a series resonant circuit, the ac voltage across resistance $R$, inductance $L$ and capacitance $C$ are $5V,10V$ and $10V$ respectively. The ac voltage applied to the circuit will be

• A. $20V$
• B. $10V$
• C. $5V$
• D. $25V$

Answer 1

The correct option is C $5V$

Calculation of ac voltage:
AC voltage $\left(V\right)=\sqrt{(V_R^2+(V_L-V_C{)}^2)}$
Given $V_R=5V,V_L=10V$  and  $V_C=10V$
$V=\sqrt{(5{)}^2+(10-10{)}^2}$
$V=5V$
Thus, the correct option is $\left(C\right)$.