In R - L - C series circuit, the potential differences across eac… - Vidyadip

MCQ

In $R - L - C$ series circuit, the potential differences across each element is $20V$. Now the value of the resistance alone is doubled, then $P.D$. across $R, L$ and $C$ respectively.

✓
$20V, 10V, 10V$
B
$20V, 20V, 20V$
C
$20V, 40V, 40V$
D
$10V, 20V, 20V$

✓

Answer

Correct option: A.

$20V, 10V, 10V$

Circuit is at resonance $(VL = VC)$
$\therefore$ circuit is purely resistance
Resistance is doubled, current in the circuit is half the initial value
$\therefore$ New current $\text{I′}=\frac{\text{I}}{2}$
$\therefore VR = 20V ($equal to applied voltage earlier$)$
$VL = 10V$
$VC = 10V$

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