Problem 10: Two coils are placed close together in a physics lab to demonstrate Faraday 's law of induction. A current of 4.5 A in one is switched off in 1.25 ms, inducing an average 12 V emf in the other. What is their mutual inductance? Randonzed'huiabk5 em = 12 v t=1.25ms I=4.5A @thccxpcrtta.com tracking id: 9N694EC345-84AD-31953i In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing wcbsitc is strictly forbidden, Doing so may result in termination of your Expert TA Account. What is their mutual inductance in mH? Numeric : A numeric value is expected and not an expression. M: Problem 11: A wire, bent into a rectangle with sides a = 0.035 m and b = 0.015 m, is in a magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular component is a function of time as B(t) = Asin(wt), where A = 0.25 T, w B = 1 rad/s. In this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field. Text a b Otheexpertta.com @theexpertta.com - tracking id: 9N69-4E-C3-45-84AD-31953. In accordance with Expert TA's Terms ofPart (a) Express the magnetic ux going through the wire, (15, in terms of a, b, A, o), and t. Expression : Q = Select from the variables below to write your expression. Note that all variables may not be required. cosm), cos(mt), cos(), cos(), sin(a.), sin(m), sin(mt), sin(), sin(0), a, A, b, dd), t, v Part (b) Express the the emf, g, induced in the loop in terms of the derivative of (D. Expression ' 6' = Select from the variables below to write your expression. Note that all variables may not be required. cos(u), cos(), cos(0), sin(a), sin((n), sin(), sin(0), (I), a, A, d, dd), dt, t, v Part (c) Find the emf, g, induced in the loop in terms of (1,1), A, o), and t. Expression : 6' = Select from the variables below to write your expression. Note that all variables may not be required. cos(u), cos(o)t), cos(), cos(), sin(u), sin(wt), sin(), sin(0), o), a, A, b, dd), t, v Part ((1) Calculate the magnitude of the emf at t = 2.3 s in V. Numeric : A numeric value is expected and not an expression. l'l = Problem 12: A conducting rod spans a gap of length L = 0.433 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 X X X X X under an external force with an acceleration a = At, where A = 6.5 m/s. The B resistance in the wire is R = 105 2. X X X X X X R L Randomized Variables X X X X X X L = 0.433 m B = 0.45 T X X X X X X A = 6.5 m/s4 R = 105 9 Text X Otheexpertta.com @theexpertta.com - tracking id: 9N69-4E-C3-45-84AD-31953. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. Part (a) Express the magnitude of the magnetic flux going through the loop, P, in terms of B, x and L. Expression : P = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, A, B, d, g, h, i, j, L, m, P, t, x Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. Expression : V= Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, A, B, d, g, h, i, j, L, m, P, t, xPart (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0. Expression : X= Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, A, B, d, g, h, i, j, L, m, P, t, x Part (d) Express the derivative of the magnetic flux, do/dt, in terms of B, A, L and t. Expression : do/dt = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, A, B, d, g, h, i, j, L, m, P, t, x Part (e) Express the magnitude of the emf induced in the loop, &, in terms of B, L, A and t. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, A, B, d, g, h, i, j, L, m, P, t, x Part (f) Express the current induced in the loop, I, in terms of & and R. Expression : I= Select from the variables below to write your expression. Note that all variables may not be required. a, B, E, 0, A, B, d, g, h, i, j, m, P, R, tPart (g) Express the current induced in the loop, I , in terms of B, L, A, t, and R. SchematicChoice : _ BLAt3 I _ BAt3 1 _ BLAt3 I 3 3R R _BLAt2 I_BLAt3 LAt3 _ 2R _ 3R R I Part (h) Calculate the numerical value of I at t: 2s in A. Numeric : A numeric value is expected and not an expression. I(t=2s) =