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The radius of the coil of a tangent galv...

The radius of the coil of a tangent galvanometer is `16cm`. How many turns of the wire should be used if a current of `40mA` is to produce a deflection of `45^@`. Given, horizotnal component of earth's field is `0*36xx10^-4T.

Text Solution

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Here, `r=16cm=0*16cm, n=?, I=40mA=40xx10^-3A, theta=45^@, H=0*36xx10^-4T`
As `(mu_0nI)/(2r)=Htantheta` `:. n=(2rHtantheta)/(mu_0I)=(2xx0*16xx0*36xx10^-4tan45^@)/(4pixx10^-7xx(40xx10^-3))=229`
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