Q94 / 180 · JIPMER 2018 · Physics
Find $R_{\text {net }}$ between $A$ and $B$.


- A$60 \Omega$
- Correct answerB$40 \Omega$
- C$70 \Omega$
- D$20 \Omega$
Solution
In the circuit, the branch EGHF have three resistance of $10 \Omega, 20 \Omega$ and $10 \Omega$, respectively which are connected in series combination. So, their equivalent resistance is given by
$\mathrm{R}_1=10+20+10=40 \Omega$
This $R_1$ resistance is parallel with $40 \Omega$ resistance which is connected in the branch EF. So, their equivalent resistance
$\mathrm{R}_2=\frac{40 \times 40}{40+40}=20 \Omega$
Now, circuit becomes
Now, t in the branch CEFD $10 \Omega, 20 \Omega$ and $10 \Omega$ resistance are connect in series combination their equivalent resistance is given by
$\mathrm{R}_3=10 \Omega+20 \Omega+40 \Omega=40 \Omega$
This $R_3$ is parallel with $40 \Omega$ resistance which is present in branch CD. Their equivalent resistance,
$\mathrm{R}_4=\frac{40 \times 40}{40+40}=20 \Omega$
Now, circuit becomes
The net resistance between A and B ,
$\mathrm{R}_{\text {net }}=10+20+10=40 \Omega$Hence, the correct answer is option: 'B'.