Pq And Rs Are Long Parallel Conductors Separated By Certain Distance. M Is The Midpoint Between Them. The Net Magnetic Field At M Is B. Now The Current 2 A Is Switched Off. The Field At M Now Becomes

The problem you mentioned is related to the magnetic field due to current-carrying conductors. The magnetic field at the midpoint M is given by the formula:

B = μ0 * I / 4π * (1 / d1 - 1 / d2)

where μ0 is the permeability of free space, I is the current flowing through the wire, d1 is the distance between M and P and d2 is the distance between M and Q.

When the current 2A is switched off, the net magnetic field at M is due to current 1A. The magnetic field at midpoint M in first case is B = BPQ − BRS (∵ BPQ and BRS are in opposite directions) = 4πd/4μ0 − 4πd/2μ0 = 4πd/2μ0. Therefore, when the current 2A is switched off, the net magnetic field at M becomes B = μ0 * I / 4π * (1 / d1 - 1 / d2) = μ0 * 1A / 4π * (1 / d1 - 1 / d2) = B/2.

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