AP EAMCET · PHYSICS · Magnetic Effects of Current
A wire of length 10 m carrying current of 1 A is bent in to a circular loop. If a magnetic field of \(2 \pi \times 10^{-4} \mathrm{~T}\) is applied on the loop, then the maximum torque acting on it is
- A \(100 \times 10^{-4} \mathrm{~N} \mathrm{~m}\)
- B \(50 \times 10^{-4} \mathrm{~N} \mathrm{~m}\)
- C \(25 \times 10^{-4} \mathrm{~N} \mathrm{~m}\)
- D \(75 \times 10^{-4} \mathrm{~N} \mathrm{~m}\)
Answer & Solution
Correct Answer
(B) \(50 \times 10^{-4} \mathrm{~N} \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
\(2\pi r = L \Rightarrow r = \frac{L}{2\pi}\) \(A = \pi r^2 = \pi \left(\frac{L}{2\pi}\right)^2 = \frac{L^2}{4\pi}\) \(M = IA = I \frac{L^2}{4\pi}\) \(\tau_{max} = MB = I \frac{L^2}{4\pi} B\)…
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