Q.

A circular coil of radius 25cm, carries a current of 50A. If it has 35 turns, the flux density at the centre of the coil will be _______ Wb / m2.

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a

2π × 10-3

b

1.4 π × 10-3

c

π × 10-3

d

14 π × 10-3

answer is B.

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Detailed Solution

Radius(r) = 25 cm = 25 x 10-2 m,  current(I) = 50A.

Number of turns(n)= 35,  Permeability of free space, μ0= 4π×10-7 H/m

The flux density at the centre of the coil is given as: 

B=nμ0i2r
=35×4π×107×502×25×102

B= 1.4 π × 10-3 Wb/m2

Therefore, 1.4 π × 10-3 is the correct response.

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A circular coil of radius 25cm, carries a current of 50A. If it has 35 turns, the flux density at the centre of the coil will be _______ Wb / m2.