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GUJCET · Physics · Electromagnetic Induction
Magnetic flux of \(10 \mu W b\) is linked with a coil, when a current of 2 mA flows through it. What is the self inductance of the coil ?
- A 10 mH
- B 5 mH
- C 15 mH
- D 20 mH
Answer & Solution
Correct Answer
(B) 5 mH
Step-by-step Solution
Detailed explanation
B
\(\begin{array}{l} L =\frac{\phi}{ I }=\frac{10 \times 10^{-6}}{2 \times 10^{-3}}=5 \times 10^{-3} \\ L=\frac{\mu_0 N^2 A}{l} \\ L=\frac{\left(4 \pi \times 10^{-7}\right) \times\left(10^3\right)^2 \times 10^{-3}}{31.4 \times 10^{-2}} \\ L=4 \times 10^{-3} H \\ L =4 mH \end{array}\)
\(\begin{array}{l} L =\frac{\phi}{ I }=\frac{10 \times 10^{-6}}{2 \times 10^{-3}}=5 \times 10^{-3} \\ L=\frac{\mu_0 N^2 A}{l} \\ L=\frac{\left(4 \pi \times 10^{-7}\right) \times\left(10^3\right)^2 \times 10^{-3}}{31.4 \times 10^{-2}} \\ L=4 \times 10^{-3} H \\ L =4 mH \end{array}\)
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