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GUJCET · Physics · Electromagnetic Induction
What is the self inductance of a solenoid of length 31.4 cm , area of cross section \(10^{-3} m^2\) and total number of turns \(10^3\) ?
- A 4 mH
- B 4 H
- C 40 H
- D 0.4 H
Answer & Solution
Correct Answer
(A) 4 mH
Step-by-step Solution
Detailed explanation
self inductance of a solenoid
\(\begin{array}{l} L =\frac{\mu_0 N^2 A}{l} \\ L=\frac{4 \pi \times 10^{-7} \times\left(10^3\right)^2 \times 10^{-3}}{31.4 \times 10^{-2}} \\ L=4 \times 10^{-3} H \\ L =4 mH \end{array}\)
\(\begin{array}{l} L =\frac{\mu_0 N^2 A}{l} \\ L=\frac{4 \pi \times 10^{-7} \times\left(10^3\right)^2 \times 10^{-3}}{31.4 \times 10^{-2}} \\ L=4 \times 10^{-3} H \\ L =4 mH \end{array}\)
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