COMEDK · Physics · 19. Current Electricity

A galvanometer having a resistance of \(50 \Omega\) is shunted by a wire of resistance \(10 \Omega\). If the total current is 2 A , the current passing through the shunt is:

A \(\dfrac{5}{3} \mathrm{~A}\)
B \(\dfrac{3}{5} \mathrm{~A}\)
C \(\dfrac{5}{6} \mathrm{~A}\)
D \(\dfrac{2}{5} \mathrm{~A}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(\dfrac{5}{3} \mathrm{~A}\)

Step-by-step Solution

Detailed explanation

Let \(G\) be the resistance of the galvanometer and \(S\) be the resistance of the shunt wire. Given \(G = 50 \Omega\) and \(S = 10 \Omega\). The total current \(I = 2 \text{ A}\). The current \(I_S\) passing through the shunt is given by the current divider rule:…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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