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Question

Physics Question on Current electricity

Ideal voltmeter connected as shown reads

A

16 V

B

12 V

C

4 V

D

8 V

Answer

8 V

Explanation

Solution

Since 6Ω6 \Omega and 10Ω10 \Omega are in parallel so its equivalent resistance,
R=6×126+12=6×1218=4ΩR = \frac{6 \times 12}{6 + 12} = \frac{6 \times 12}{18} = 4 \Omega
Net resistance of the circuit , Req=4Ω+4ΩR_{eq} = 4 \Omega + 4 \Omega
\hspace60mm = 8 \Omega
Current in the circuit, I=VReq=168=2A.I = \frac{V}{R_{eq}} = \frac{16}{8} = 2 A.
Reading of voltmeter= voltage drop across 4Ω4 \Omega
=I×R=2×4=8V= I \times R=2 \times 4=8V