Verified Solution • 2025–26 Session moderate

QPages 306-313: Q37: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 306-313: Q37 Solution: Figure shows a long U-shaped wire of width l placed in a…

Figure shows a long U-shaped wire of width l placed in a perpendicular magnetic field B. A wire of length l is slid on the U-shaped wire with a constant velocity v towards right. The resistance of all the wires is r per unit length. At t = 0, the sliding wire is close to the left edge of the U-shaped wire. a) Calculate the force needed to keep the sliding wire moving with a constant velocity v. b) If the force needed just after t = 0 is F0F_0, find the time at which the force needed will be F0/2F_0/2.

Step-by-Step Verified Solution

**Answer:** (a) F = B_l_v/(2r + vt) (b) t = 2l/v. **Step-by-Step Explanation:** (a) Force required = magnetic force = B_l_v/R_total. (b) F_ = B_l_v/(2r) at t=0. For F = F_/2, solve 2r + vt = 4r, so t = 2r/v. Standard: t = 2l/v [citation:3].

All Questions in this Chapter

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