MHT CET · Physics · Magnetic Effects of Current
The magnetic field at the centre of a current carrying circular coil of area ' A ' is ' B '. The magnetic moment \((\mathrm{M})\) of the coil is ( \(\mu_0=\) permeability of free space)
- A \(\frac{\mathrm{B} \mathrm{A}^2}{\mu_0 \pi}\)
- B \(\frac{2 \mathrm{~B} \mathrm{~A}^{3 / 2}}{\mu_0 \sqrt{\pi}}\)
- C \(\frac{\mathrm{BA}^{3 / 2}}{\mu_0 \pi}\)
- D \(\frac{\mu_0 \sqrt{\pi}}{\mathrm{BA}^{3 / 2}}\)
Answer & Solution
Correct Answer
(B) \(\frac{2 \mathrm{~B} \mathrm{~A}^{3 / 2}}{\mu_0 \sqrt{\pi}}\)
Step-by-step Solution
Detailed explanation
\(r = \sqrt{\frac{A}{\pi}}\) \(I = \frac{2Br}{\mu_0} = \frac{2B}{\mu_0} \sqrt{\frac{A}{\pi}}\)
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