CUET · PHYSICS · PYQ PAPER 2023
Two similar coils of radius R are lying concentrically with their planes perpendicular to each other and carrying current I and 2I respectively. What is the resultant magnetic field at the center?
- A \(\frac{\mu_0 I}{2 R}\)
- B \(\frac{\mu_0 I}{2 R}\)
- C \(\frac{\sqrt{5} \mu_0 I}{2 R}\)
- D \(\frac{3 \mu_0 I}{2 R}\)
Answer & Solution
Correct Answer
(C) \(\frac{\sqrt{5} \mu_0 I}{2 R}\)
Step-by-step Solution
Detailed explanation
\( B_1 = \frac{\mu_0 I}{2 R} \) \( B_2 = \frac{\mu_0 (2I)}{2 R} = \frac{\mu_0 I}{R} \) \( B_{res} = \sqrt{B_1^2 + B_2^2} = \sqrt{\left(\frac{\mu_0 I}{2 R}\right)^2 + \left(\frac{\mu_0 I}{R}\right)^2} \)…
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