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Question

A moving coil galvanometer experience Torque =ki, where i is current
If N coils of area A each and moment of inertia I is kept in magnetic field B.
(a) find k in terms of given parameters,
(b) if for current i deflection is π2 , find out torsional constant of spring,
(c) if a charge Q is passed suddenly through the galvanometer find out maximum angle of deflection

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Solution

(a) τ=M×B, M=NiA

τ=ki=BiNA

k=BNA


(b) τ=KΘ=BiNA (K is torsional constant)

K=2BiNAπ[Θ=π2]


(c) τ=BiNA

t0τdt=t0BNAidt

I0=BNAQ

I0=BANQI

12Io)2=12KΘ2 [At maximum deflection whole K.E. will convert in to potential energy of spring]

Θ=Io)2K=BANQI2BiNAIπ

Θmax=QBNAπ2I.


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