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GUJCET · Physics · Moving Charges and Magnetism
There are 50 turns per cm length in a very long solenoid. It carries a current of 2.5 A . The magnetic field at its centre on the axis is ________ T.
- A \(2 \pi \times 10^{-3}\)
- B \(5 \pi \times 10^{-3}\)
- C \(6 \pi \times 10^{-3}\)
- D \(4 \pi \times 10^{-3}\)
Answer & Solution
Correct Answer
(B) \(5 \pi \times 10^{-3}\)
Step-by-step Solution
Detailed explanation
B
\(\begin{array}{l} B =\mu_0 n I \\ B =\frac{\mu_0 NI }{l} \\ B=4 \pi \times 10^{-7} \times \frac{50}{10^{-2}} \times 2.5 \\ B=5 \pi \times 10^{-3} T\end{array}\)
\(\begin{array}{l} B =\mu_0 n I \\ B =\frac{\mu_0 NI }{l} \\ B=4 \pi \times 10^{-7} \times \frac{50}{10^{-2}} \times 2.5 \\ B=5 \pi \times 10^{-3} T\end{array}\)
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