TS EAMCET · Physics · Magnetic Effects of Current
The number of turns of two circular coils A and B are 300 and 200 respectively. The magnetic moments of the two coils A and B are in the ratio \(1: 2\). If the two coils carry equal currents, then the ratio of radii of coils A and B is
- A \(2: \sqrt{3}\)
- B \(2: 3\)
- C \(1: 2\)
- D \(1: \sqrt{3}\)
Answer & Solution
Correct Answer
(D) \(1: \sqrt{3}\)
Step-by-step Solution
Detailed explanation
\(M = NIA = NI \pi r^2\) \(\frac{M_A}{M_B} = \frac{N_A I \pi r_A^2}{N_B I \pi r_B^2} = \frac{N_A r_A^2}{N_B r_B^2}\) \(\frac{1}{2} = \frac{300}{200} \left(\frac{r_A}{r_B}\right)^2\) \(\frac{1}{2} = \frac{3}{2} \left(\frac{r_A}{r_B}\right)^2\)…
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