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Q.  A galvanometer of resistance 45 ohm, shunted with a resistance of 5 ohm is joined in series with a resistance of 84 ohm and a battery of e.m.f. 4.5 volt having internal resistance 1.5ohm. Find the current passing through (a) the battery, (b) the galvanometer, and (c) the shunt.

Dear student

Potential difference  through R1 in a circuit where R1, R2, R3 are in series is given by VR1=V×R1R1+R2+R3a) PD across the battery= 4.5×1.54.5+5+84+1.5=0.071VNow current through battery I=VRI=0.0711.5=0.0473Ab) PD across the galvanometer= 4.5×454.5+5+84+1.5=2.13VNow current through the galvenometer I=VRI=2.1345=0.0473Ab) PD across the shunt= 4.5×54.5+5+84+1.5=0.216VNow current through shunt I=VRI=0.2365=0.0473ASince all the components are in series hence current is same for all.
Regards

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