In the circuit shown in the figure, neglecting the source resistance, the voltmeter and ammeter readings respectively are:
1
2
3
4
Official Solution
Correct Option:
(1)
Step 1: Determine total impedance in the circuit The given circuit consists of a resistor in series with a parallel LC circuit, where the inductor reactance is and the capacitor reactance is . Since , the net reactance of the LC branch is: Thus, the LC branch acts as a short circuit, meaning the impedance of the parallel combination is zero. Step 2: Calculate total circuit current The only effective impedance in the circuit is the resistor , so the total impedance is: Using Ohm’s law, the current through the circuit is: Step 3: Determine the voltmeter reading Since the LC branch is a short circuit, the voltage across the parallel LC circuit (voltmeter reading) is: Final Answer: The ammeter reads and the voltmeter reads , which matches option (1).
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