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Question

Two moving coil meters, M1 and M2 have the following particulars:
R1=10Ω,N1=30
A1=3.6×103m2,B1=0.25T
R2=14Ω,N2=42
A2=1.8×103,B2=0.50T
(The spring constants are identical for the two meters).Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1.

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Solution

(a)
Current sensitivity of M1 is given as,
Is1=N1B1A1/k1
Is2=N2B2A2/k2
where,
N=turns,
B=Magnetic field,
k=spring constant,
A=area
R=Electric resistance.
Is1/Is2=1.4

(b)

Voltage sensitivity relation is given as,

Vs1=N1B1A1/k1R1

Vs2=N2B2A2/k2R2

where,

N=turns,

B=Magnetic field,

k=spring constant,

A=area

R=Electric resistance.

Vs1/Vs2=1


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