A high impedance AC voltmeter is connected in turn across the inductor, the capacitor and the resistance in a series circuit having an AC source of 100V(rms) and gives the same reading in each case. Then this reading is?

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\frac{100}{3}

volts

300 volts

100 volts

Incomplete Data

answer is C.

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Detailed Solution

Concept- Given,
The AC voltmeter is linked to a series circuit with a 100V (rms) voltage along with a capacitor, inductor, and resistance. The voltage across the resistor remains in phase with the current in the circuit. π/2, the voltage across the inductor lags behind the current.
Whereas,
The voltage across the capacitor lags the current by π/2.
The series connection between the components causes a constant current to flow through each component. Therefore,
The following phasor diagram can be drawn.
Therefore

V C = V L = V R = 100 V

(given)
We know,

V C = X C ⇒ X C = 100

Also,

V L = X L = 100

Now,
From above resonance condition;

X C = X L ⇒ X C − X L = 0 ∴ V R = V = 100 V

It is a condition of resonance then the only potential on each is equal and 100V.
Hence, the correct answer is 100 volts.
Hence, the correct option is 3.

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