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Question: A D.C supply of 120 V is connected to a large resistance X. A voltmeter of resistance 10 kW placed i...

A D.C supply of 120 V is connected to a large resistance X. A voltmeter of resistance 10 kW placed in series in circuit reads 4V. This is an unusual use of voltmeter for measuring very high resistance. The value of X is –

A

390 kW

B

290 kW

C

190 kW

D

300 kW

Answer

290 kW

Explanation

Solution

i = 120X+10KΩ\frac{120}{X + 10K\Omega}

Reading of voltmeter = 120X+10KΩ\frac{120}{X + 10K\Omega} × 10

1200X+10KΩ\frac{1200}{X + 10K\Omega} = 4

X = 290 KW