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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Current Electricity

Olympiad workbook · NSEP · Current Electricity

A simple circuit consists of a known resistance R_A=2 M and an...

A simple circuit consists of a known resistance

R_A=2 M \Omega

and an unknown resistance

\mathrm{R}_{\mathrm{B}}

both in series with a battery of 9 volt and negligible internal resistance. When the voltmeter is connected across the resistance

R_A

, it measures 3 volt but when the same voltmeter is connected across

R_B

it reads 4.5 volt. The voltmeter measures 9 V across the battery. Considering that the voltmeter has a finite resistance

r

, the correct option is

Options

A $R_B=3 M \Omega$ and $r=6.0 M \Omega$
B $R_B=2.5 \mathrm{M} \Omega$ and $r=6.0 \mathrm{M} \Omega$
C $R_B=4 M \Omega$ and $r=12 M \Omega$
D $R_B=4.5 \mathrm{M} \Omega$ and $r=6.0 \mathrm{M} \Omega$

Correct answer

A. $R_B=3 M \Omega$ and $r=6.0 M \Omega$

Step-by-step solution

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