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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Current Electricity

JIPMER 2018 · Physics · Current Electricity

Find R_ net between A and B .

Find Rnet R_{\text{net }} between AandandB..

Options

  1. A60Ω60 \Omega
  2. B40Ω40 \Omega
  3. C70Ω70 \Omega
  4. D20Ω20 \Omega

Correct answer

B. 40Ω40 \Omega

Step-by-step solution

In the circuit, the branch EGHF have three resistance of 10Ω,20Ω10 \Omega, 20 \Omega and 10Ω10 \Omega, respectively which are connected in series combination. So, their equivalent resistance is given by R1=10+20+10=40Ω\mathrm{R}_1=10+20+10=40 \Omega This R1R_1 resistance is parallel with 40Ω40 \Omega resistance which is connected in the branch EF. So, their equivalent resistance R2=40×4040+40=20Ω\mathrm{R}_2=\frac{40 \times 40}{40+40}=20 \Omega Now, circuit becomes Now, t in the branch CEFD 10Ω,20Ω10 \Omega, 20 \Omega and 10Ω10 \Omega resistance are connect in series combination their equivalent resistance is given by R3=10Ω+20Ω+40Ω=40Ω\mathrm{R}_3=10 \Omega+20 \Omega+40 \Omega=40 \Omega This R3R_3 is parallel with 40Ω40 \Omega resistance which is present in branch CD. Their equivalent resistance, R4=40×4040+40=20Ω\mathrm{R}_4=\frac{40 \times 40}{40+40}=20 \Omega Now, circuit becomes The net resistance between A and B , Rnet =10+20+10=40Ω\mathrm{R}_{\text{net }}=10+20+10=40 \Omega
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