AP EAMCET · PHYSICS · Magnetic Effects of Current
If a current of 15 A passes through a solenoid of length 25 cm, radius 2 cm and number of turns 500, then the magnetic moment of the solenoid is
- A \(6 \mathrm{~J} \mathrm{~T}^{-1}\)
- B \(3 \mathrm{~J} \mathrm{~T}^{-1}\)
- C \(3 \pi \mathrm{~J} \mathrm{~T}^{-1}\)
- D \(6 \pi \mathrm{~J} \mathrm{~T}^{-1}\)
Answer & Solution
Correct Answer
(C) \(3 \pi \mathrm{~J} \mathrm{~T}^{-1}\)
Step-by-step Solution
Detailed explanation
\(A = \pi r^2 = \pi (0.02)^2 = 0.0004 \pi \mathrm{~m}^2\) \(M = NIA = 500 \times 15 \times 0.0004 \pi = 3 \pi \mathrm{~J} \mathrm{~T}^{-1}\)
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