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AIIMS2018Physics-Current Electricity

AIIMS 2018 Physics Shunt Resistance MCQ Question

Type: MCQ-numerical-Medium-Class 12

Range of the ammeter is 5 ampere and full scale deflection is 0.5 μA\mu\text{A}. If resistance of galvanometer is 50 Ω\Omega then find shunt resistance.

Question diagram
A

5×10−6 Ω5 \times 10^{-6}\ \Omega

B

8×10−6 Ω8 \times 10^{-6}\ \Omega

C

8×10−3 Ω8 \times 10^{-3}\ \Omega

D

4×10−2 Ω4 \times 10^{-2}\ \Omega

Correct Answer

Option A

Detailed Explanation

To find the shunt resistance SS, we substitute the given values into the formula S=IgGI−IgS = \frac{I_g G}{I - I_g}. Using Ig=0.5 μA=0.5×10−6 AI_g = 0.5 \, \mu A = 0.5 \times 10^{-6} \, A, I=5 AI = 5 \, A, and G=50 Ω−1G = 50 \, \Omega^{-1}, we calculate S=(0.5×10−6)×505−0.5×10−6≈5×10−6 ΩS = \frac{(0.5 \times 10^{-6}) \times 50}{5 - 0.5 \times 10^{-6}} \approx 5 \times 10^{-6} \, \Omega. The other options are not applicable since they do not provide valid answers or calculations related to the question.

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