A conducting rod spans a gap of length L = 0.315 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure
A conducting rod spans a gap of length L = 0.315 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.45 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a= At2, where A = 6.5 m/s4. The resistance in the wire is R= 110Ω
Part (a) Express the magnitude of the magnetic flux going through the loop, Φ, in terms of B, x and L.
Part (b) Express the speed of the rod, v, in terms of A and t. Assume v= 0 at t=0.
Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t=0.
Part (d) Express the derivative of the magnetic flux, dΦ/dt, in terms of B, A, L and t.
Part (e) Express the magnitude of the emf induced in the loop, ε, in terms of B, L, A and t.
Part (f) Express the current induced in the loop, I, in terms of ε and R.
Part (g) Express the current induced in the loop, I, in terms of B, L, A, t, and R.
Part (h) Calculate the numerical value of I at t = 2s in A.
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A conducting rod spans a gap of length L = 0.315 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure
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