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Question

A long solenoid has 200 turns per cm and carries a current i.The magnetic field at its centre is 6.28×102Wb/m2. Another long solenoid has 100 turns per cm and it carries a current i/3.The value of magnetic field at its centre is:

A
1.05×102Wb/m2
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B
1.05×105Wb/m2
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C
1.05×103Wb/m2
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D
1.05×104Wb/m2
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Solution

The correct option is A 1.05×102Wb/m2
B1=μ0ni (for long solenoid)
B1B2=n1i1n2i2
B2=B1n2i2n1i1
=6.28×102×100×i3200×i
=1.05×102Wb/m2

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