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← JEE Main 2022 · 25 Jun · Shift 2
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JEE Main 2022 · 25 Jun · Shift 2, Physics question 50

If nn represents the actual number of deflections in a converted galvanometer of resistance GG and shunt resistance SS. Then the total current II when its figure of merit is KK will be :

Choose one option
Answer and worked solution

Official answer: D

Galvanometer current. Ig=nKI_g=nK.

Shunt. IgG=(I−Ig)SI_gG=(I-I_g)S, so I=IgG+SS=nK(G+S)SI=I_g\dfrac{G+S}S=\dfrac{nK(G+S)}S.

(D)