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The coil in a tangent galvanometer is 16...

The coil in a tangent galvanometer is `16cm` in radius. How many turns of the wire should be wound on it if a current of `20mA` is to produce a deflection of `45^@`? Take horizontal component of earth's field `=0*36xx10^-4T`.

Text Solution

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Here, `r=16cm=16xx10^-2m`,
`n=?, I=20mA=20xx10^-3amp., theta=45^@`,
`H=0*36xx10^-4tesla`
From `I=(2rH)/(mu_0n)tantheta`
`n=(2rH)/(mu_0I)tantheta=(2xx16xx10^-2xx0*36xx10^-4)/(4pixx10^-7xx20xx10^-3)`
`=458 turns`
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