Question

In an LCR circuit the potential difference between the terminal of the inductance is $60V$, between the terminals of the capacitor is $30V$ and that between the terminals of the resistance is $40V$. The supply voltage will be equal to:

• A. $130V$
• B. $10V$
• C. $50V$
• D. $70V$

Answer 1

The correct option is C $50V$

Supply voltage of an LCR circuit

$V=\sqrt{V_R^2+(V_L-V_C{)}^2}$

since inductor and capacitor potentials are out of phase with each other)

$=\sqrt{{40}^2+(60-30{)}^2}V$

$=50V$