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Question

Question: The inductance of a closed-packed coil of 400 turns is 8 mH. A current of 5 mA is passed through it....

The inductance of a closed-packed coil of 400 turns is 8 mH. A current of 5 mA is passed through it. The magnetic flux through each turn of the coil is

A

14πμ0Wb\frac { 1 } { 4 \pi } \mu _ { 0 } W b

B

12π\frac { 1 } { 2 \pi } μ0Wb

C

13πμ0Wb\frac { 1 } { 3 \pi } \mu _ { 0 } W b

D

0.4μ0Wb0.4 \mu _ { 0 } W b

Answer

14πμ0Wb\frac { 1 } { 4 \pi } \mu _ { 0 } W b

Explanation

Solution

Nϕ=Liϕ=LiN=8×103×5×103400=107=μ04πwbN \phi = L i \Rightarrow \phi = \frac { L i } { N } = \frac { 8 \times 10 ^ { - 3 } \times 5 \times 10 ^ { - 3 } } { 400 } = 10 ^ { - 7 } = \frac { \mu _ { 0 } } { 4 \pi } w b