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A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is i, the resultant magnetic field due to the two semicircular parts at their common centre is:
- μ₀i / √2R
- μ₀i / 2√2R
- μ₀i / 2R
- μ₀i / 4R
Correct answer: μ₀i / 2√2R
Solution
Each semicircular loop produces a magnetic field of magnitude μ₀i / 4R at the center, but the directions are perpendicular to each other due to their orientations in the x-y and x-z planes. The resultant field is the vector sum, which gives μ₀i / 2√2R.
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