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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 6.28×10−2Wb/m2. Another long solenoid has 100 turns per cm and it carries a current I/3. The value of the 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 1.05×10−2Wb/m2Magnetic field due to a long solenoid is given byB=μ0nIgiven, 6.28×10−2=μ0×200×102×I...(i)AlsoB=μ0×100×102×(13)...(ii)By solving eqs (i) and (ii) we getB=1.05×10−2wb/m2

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