Using a variable frequency a.c. voltage source the maximum current measured in the given LCR circuit is 50 mA for $V=5 \sin (100 t)$ The values of $L$ and $R$ are shown in the figure. The capacitance of the capacitor (C) used is $\_\_\_\_$ $\mu \mathrm{F}$ .

Question

Using a variable frequency a.c. voltage source the maximum current measured in the given LCR circuit is 50 mA for

V=5 \sin (100 t)

The values of

L

and

R

are shown in the figure. The capacitance of the capacitor (C) used is

\_\_\_\_

\mu \mathrm{F}

.

Using a variable frequency a.c. voltage source the maximum current measured in the given LCR circuit is 50 mA for V=5

Quantrex Academy · Accepted Answer

Correct answer: D. Statement I is false but Statement II is true

From V = 5 (100t) , angular frequency ω = 100 rad/s At resonance in LCR circuit: X_L = X_C , so ω L = (1)/(ω C) Maximum current occurs at resonance: I_ = V_ rms R 50 × 10^ -3 = 5/ 2 100 (verified at resonance) From resonance condition: 100 × 2 = (1)/(100 × C) 200 = (1)/(100C) C = (1)/(20000) = 5 × 10^ -5 F = 50 μF

Using a variable frequency a.c. voltage source the maximum current...

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