Current Electricity Charging Discharging Of Capacitors Question 238

Question: A 100 V voltmeter of internal resistance $ 20,k\Omega $ in series with a high resistance R is connected to a 110 V line. The voltmeter reads 5 V, the value of R is

[MP PET 1999]

Options:

A) $ 210,k\Omega $

B) $ 315,k\Omega $

C) $ 420,k\Omega $

D) $ 440,k\Omega $

Show Answer

Answer:

Correct Answer: C

Solution:

Here $ i=\frac{110}{20\times 10^{3}+R} $

$ \because $

$ V=iR $

Therefore $ 5=( \frac{110}{20\times 10^{3}+R} )\times 20\times 10^{3} $

Therefore $ 10^{5}+5R=22\times 10^{5} $

Therefore $ R=21\times \frac{10^{5}}{5}=420,K\Omega $