Physics · Biot Savart law and its application to the current carrying circular loop
Lis a circular ring made of a uniform wire. Current enters and leaves the rind t
Lis a circular ring made of a uniform wire. Current enters and leaves the rind through straight conductors which, if produced, would have passed through the centre \( C \) of the ring. The magnetic field at \( C: \) This question has multiple correct options
- A. due to the straight conductors is zero
- B. due to the loop is zero
- C. due to the loop is proportional to \( \theta \)
- D. due to the loop is proportional to \( (\pi-\theta) \)
Step-by-step solution
The straight conductors lie along radii through the center, so the magnetic field at the center due to each straight conductor is zero because the angle between the current element and the position vector is zero. For the loop, the current splits into two arcs with currents inversely proportional to their lengths. The magnetic field contributions from the two arcs cancel exactly, resulting in zero net field at the center. Thus both A and B are correct. However, among the given options, A is the first correct statement.
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