A rectangular conducting loop of width $w = 0.10$ m and length $l = 0.30$ m moves with constant speed $v = 0.40$ m s⁻¹ perpendicular to its plane into a uniform magnetic field $B = 0.50$ T directed into the page. The magnetic field occupies a horizontal strip 0.20 m wide; the loop is initially completely outside the field. The loop has resistance $R = 2.0$ Ω. (i) Give the magnitude of the induced emf as a function of time while the loop is entering the field. (ii) Find the maximum current in the loop. (iii) Calculate the magnetic force on the segment of the loop that is within the field when the current is at its maximum, and state the direction of the net force on the loop.

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Induced emf while entering: $\mathcal{E}=0.060$ V (constant for 0 ≤ t ≤ 0.25 s). Maximum current: 0.030 A. Magnetic force on the in‑field side: 4.5×10⁻³ N directed opposite to the motion (to the left).

Gce Model Questions Vol1 2023 Physics Question 30

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