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JIPMER 2006

Exam: JIPMER
Year: 2006
Subject: Physics
Chapter: Current Electricity

JIPMER 2006 · Physics · Current Electricity

In the given circuit, what will be the equivalent resistance...

In the given circuit, what will be the equivalent resistance between the points

A

and

B

?

In the given circuit, what will be the equivalent resistance between the points A and B ?

Options

A $10 / 3 \Omega$
B $20 / 3 \Omega$
C $10 / 5 \Omega$
D $5 \Omega$

Correct answer

A. $10 / 3 \Omega$

Step-by-step solution

\because \quad \frac{2}{3}=\frac{4}{6} \therefore

Given, circuit is a balanced Wheatstone's Bridge. So,

10 \Omega

resistance will be ineffective. Equivalent resistance of upper arms

R_1=2+3=5 \Omega \therefore

Equivalent resistance of lower arms

\begin{aligned} R_2 & =4+6=10 \Omega \\ R_{A B} & =\frac{R_1 R_2}{R_1+R_2} \\ & =\frac{5 \times 10}{5+10} \\ & =\frac{50}{10}=\frac{10}{3} \Omega\end{aligned}

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