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Question: A solenoid is 1.5 m long and its inner diameter is 4.0 cm. It has three layers of windings of 1000 t...

A solenoid is 1.5 m long and its inner diameter is 4.0 cm. It has three layers of windings of 1000 turns each and carries a current of 2.0 amperes. The magnetic flux for a cross-section of the solenoid is nearly

A

2.5 × 10–7 weber

B

6.31 × 10–6 weber

C

5.2 × 10–5 weber

D

4.1 × 10–5 weber

Answer

6.31 × 10–6 weber

Explanation

Solution

ϕ=μ0niA=4π×10−7×30001.5×2×π(2×10−2)2\phi = \mu _ { 0 } n i A = 4 \pi \times 10 ^ { - 7 } \times \frac { 3000 } { 1.5 } \times 2 \times \pi \left( 2 \times 10 ^ { - 2 } \right) ^ { 2 }

=6.31×10−6 Wb= 6.31 \times 10 ^ { - 6 } \mathrm {~Wb}