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28/12/2021 2:39 pm
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A conducting wire of length 24a is used to form two setups of coils, first in the form of a square of side a and second in the form of an equilateral triangle of side a. Find the ratio of the magnetic moment of the coil in two cases?
(a) \(\frac{\sqrt 3}{1}\)
(b) \(\frac{\sqrt 2}{1}\)
(c) \(\sqrt{\frac{3}{5}}\)
(d)\(\sqrt{\frac{5}{3}}\)
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28/12/2021 2:42 pm
Correct answer: (a) \(\frac{\sqrt 3}{1}\)
Explanation:
4anr = 24a
Thus, n1 = 6 turns
3anz = 24 ⇒ nz = 8 turns
\(\frac{M_1}{M_2}\) = \(\frac{n_1iA_1}{n_2iA_2}\)
= \(\frac{6 \times 1^2}{8 \times a^2 \times \frac{\sqrt3}{4}}\)
= \(\frac{\sqrt 3}{1}\)
This post was modified 3 years ago 2 times by Reyana09