Back to Directory
NEET PHYSICSMedium

In the given circuit, the reading of voltmeter V1 and V2 are 300 V each. The reading of the voltmeter V3 and ammeter A are respectively:

A

150 V, 2.2 A

B

220 V, 2.2 A

C

220 V, 2.0 A

D

100 V, 2.0 A

Step-by-Step Solution

In a series LCR circuit, the total source voltage VV is related to the voltages across the resistor (VRV_R, read by V3V_3), inductor (VLV_L, read by V1V_1), and capacitor (VCV_C, read by V2V_2) by the phasor relationship: V=VR2+(VLVC)2V = \sqrt{V_R^2 + (V_L - V_C)^2} . Given that V1=V2=300V_1 = V_2 = 300 V, the circuit is in a state of resonance where the inductive and capacitive voltages cancel each other out (VLVC=0V_L - V_C = 0). Therefore, V=VR2=VRV = \sqrt{V_R^2} = V_R. This implies the reading of voltmeter V3V_3 is equal to the source voltage. Based on the options and standard mains voltage conventions (and the specific data of this AIPMT 2010 problem where source is 220V, 50Hz, R=100\Omega ), the source voltage is 220 V. Thus, V3=220V_3 = 220 V. The current in the circuit at resonance is determined by the resistance: I=V/RI = V/R. Using the probable answer values (I=2.2I = 2.2 A) and derived voltage (V=220V = 220 V), this is consistent with a resistance R=100ΩR = 100 \, \Omega.

Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started