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A solenoid of length $l = 0.5 \text{ m}$ has $N = 1000$ turns and across-sectional area $A = 10 \times 10^{-4} \text{ m}^2$. What is the self-inductance $L$ of the solenoid? (Take $\mu_0 = 4\pi \times 10^{-7} \text{ T m/A}$)
- A.$2.51 \text{ mH}$
- B.$1.25 \text{ mH}$
- C.$5.02 \text{ mH}$
- D.$0.63 \text{ mH}$
Show correct answer & step-by-step solution
Correct answer: A — $2.51 \text{ mH}$
Solution
The self-inductance is .
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