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Question

# A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic induction at the center of the solenoid is [μ0=4π×10−7 T Am−1]

A
6.28×104 T
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B
3.14×104 T
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C
3.14×105 T
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D
6.28×105 T
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Solution

## The correct option is A 6.28×10−4 TGiven, N=100 ; l=50 cm=12 m ;n=Nl=100(12)=200 ; i=2.5 A i=2.5A Magnetic induction at the center of the solenoid is, B=μ0ni =4π×10−7×200×2.5 =2×3.14×10−4 =6.28×10−4 T <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (A) is the correct answer.

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