COMEDK · Physics · 21. Magnetic Effects of Current
A regular hexagon of side \(m\) which is a wire of length \(24 \mathrm{~m}\) is coiled on that hexagon. If current in hexagon is \(I\), then the magnetic moment,
- A \(6 \sqrt{3} \operatorname{Im}^2\)
- B \(3 \sqrt{3} \mathrm{~lm}^2\)
- C \(\dfrac{3 \sqrt{3}}{2} \operatorname{lm}^2 \quad\)
- D \(6 \operatorname{lm}^2\)
Answer & Solution
Correct Answer
(A) \(6 \sqrt{3} \operatorname{Im}^2\)
Step-by-step Solution
Detailed explanation
The magnetic moment \(\vec{\mu}\) of a planar current loop is given by \(\mu = N I A\), where \(N\) is the number of turns, \(I\) is the current, and \(A\) is the area of the loop. The total length of the wire is \(L = 24m\). The perimeter of a regular hexagon with side length…
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