An LCR circuit as shown in the figure is connected to a voltage s… - Vidyadip

MCQ

An $LCR$ circuit as shown in the figure is connected to a voltage source $V_{ac}$ whose frequency can be varied.

The frequency, at which the voltage across the resistor is maximum, is......$Hz$

A
$902$
B
$143$
✓
$23$
D
$345$

✓

Answer

Correct option: C.

$23$

c
Frequency $\mathrm{f}=\frac{1}{2 \pi \sqrt{\mathrm{LC}}}$

$=\frac{1}{2 \times 3.4 \sqrt{24 \times 2 \times 10^{-6}}}$

$=23\, \mathrm{Hz}$

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