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Q.

A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic field at the centre of the solenoid is:
$μ_{0} = 4 π \times 10^{- 7} {TmA}^{- 1}$

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a

$3 .14 x 10^{- 4} T$

b

$6 .28 x 10^{- 5} T$

c

$3 .14 x 10^{- 5} T$

d

$6 .28 x 10^{- 4} T$

answer is D.

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Detailed Solution

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$\begin{array}{l} B = μ_{0} nI \\ = 4 πx 10^{- 7} x \frac{100}{0 .5} x 2 .5 \\ = 2 πx 10^{- 4} T = 6 .28 x 10^{- 4} T \end{array}$

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A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic field at the centre of the solenoid is: μ0=4π×10−7TmA−1