Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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A Tangent Galvanometer Shows a Deflection of 45° When 10 Ma of Current is Passed Through It. If the Horizontal Component of the Earth'S Magnetic Field is B H = 3.6 × 10 − 5 T a - Physics

Sum

A tangent galvanometer shows a deflection of 45° when 10 mA of current is passed through it. If the horizontal component of the earth's magnetic field is `B_H = 3.6 xx 10^-5  "T"` and radius of the coil is 10 cm, find the number of turns in the coil.

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Solution

Given :
Horizontal component of Earth's magnetic field,`B_H = 3.6 xx 10^-5  "T"`

Deflection shown by the tangent galvanometer, `θ = 45^circ`

Current through the galvanometer, `l = 10  "mA" = 10^-2  "A"`

Radius of the coil, r = `10  "cm" = 0.1  "m"`

Number of turns in the coil, n = ?

We know , 

`B_H tan θ = (u_0 In)/(2r)`

⇒ `n = (B_H tan  \ θ  xx 2r)/(u_0I)`

⇒ `n = (3.6 xx 10^-5 xx 2 xx 1 xx 10^-1)/(4pi xx 10^-7 xx 10^-2)`

⇒ `n = 0.57332 xx 10^3 = 573`

  Is there an error in this question or solution?
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 14 Permanent Magnets
Q 16 | Page 278
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