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Question

The relation between voltage sensitivity σv and the current sensitivity σi of a moving coil galvanometer is (Given that G is the resistance of the galvanometer)

A
σv=Gσi
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B
σv=σiG
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C
σvσi=G
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D
σvσi=1G
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Solution

The correct option is B σv=σiG

Current sensitivity of galvanometer is the deflection produced for a unit current :

σi=ϕI=NBAC...(i)

Where N= number of coils,B= Magnetic field, A= area of coil and C is Torsional constant

Voltage sensitivity is the deflection produced for a unit voltage applied across the two terminals of the galvanometer
σv=ϕIG=NBACG...(ii)
from (i) and (ii)
σv=σiG

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