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Question: A long solenoid has 200 turns per cm and carries a current of 2.5 A. The magnetic field at its centr...

A long solenoid has 200 turns per cm and carries a current of 2.5 A. The magnetic field at its centre is

0 = 4π× 10–7Wb/m2]

A

3.14 × 10–2Wb/m2

B

6.28 × 10–2Wb/m2

C

9.42 × 10–2Wb/m2

D

12.56 × 10–2Wb/m2

Answer

6.28 × 10–2Wb/m2

Explanation

Solution

B=μ0ni=4π×107×200102×2.5=6.28×102 Wb/m2B = \mu _ { 0 } n i = 4 \pi \times 10 ^ { - 7 } \times \frac { 200 } { 10 ^ { - 2 } } \times 2.5 = 6.28 \times 10 ^ { - 2 } \mathrm {~Wb} / \mathrm { m } ^ { 2 }.