A solenoid ring with N = 3 loops is immersed in a uniform time-varying magnetic field (shown in the figure) whose strength is given by B = (1/4) sin(t/2) [T], where t is in seconds. If the radius of the loop is r = 2[m], what is the maximum magnitude of the EMF in the loop? At what time is the magnitude of the EMF at half its X X X max value? X. A. 1 [V], 67 [s] [s] В. 4п [V], С. бл [V], 2 2n [s] D. Зп [V], [s] X/X X\X X/x X X
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- Chapter 13, Problem 3: Part (a) Express the magnitude of the magnetic flux going through the loop, Φ, in terms of A, t, a, and θ. Φ = ______ Part (b) Express the derivative of the flux with respect of time, dΦ/dt. dΦ/dt = ______ Part (c) Express the magnitude of the emf induced in the loop, ε, in terms of A, a, and θ. ε = ______A square coil of wire of side 3.20 cm is placed in a uniform magnetic field of magnitude 2.25 T directed into the page as in the figure shown below. The coil has 33.5 turns and a resistance of 0.780 2. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. Rotation axis (a) the magnitude of the average emf induced in the coil during this rotation mV (b) the average current induced in the coil during this rotation mA x Xx X x xx xA conducting ring of electrical resistance R = 4.0 [2] and radius r = 2.0 [m] is inside an external magnetic field B=6t (T), where t is measured in seconds and whose direction is towards the inside of the page as shown in the figure. What is the magnitude of the induced current for t>0? Express your answer in Amperes and with 2 decimal places of precision. X X X X X X X X X ххххх X X ring
- A 2.00 cm diameter, 14.0 cm long solenoid has 60.0 turns and has a 1.00 cm diameter loop inside it. The loop has a resistance of 0.400 Ω. What is the current in the loop at 0.00600 s? The the maximum and the minimum current in the graph have the same magnitude which is 3.60 A.For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.50 and the magnetic field of the solenoid with a current of 2.90 A should be 5.90 × 10-² T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p 1.70 x 10-8.m for the resistivity of copper.) (a) How many turns of wire does the student need? turns (b) Determine the required length (in cm) of the solenoid. cmSuppose you have a long, skinny conductor that is oriented with its long axis parallel to a uniform magnetic field. Suppose also that the conductor is moving along its long axis in a straight line at constant velocity v. Despite the motion of the conductor, no motional emf is induced. Why? The magnetic field is too uniform The velocity has no component normal to the magnetic field The velocity is too low The conductor is so long and so thin that its electrical resistance is too high
- A flat loop of wire consisting of a single turn of cross- sectional area 0.01 m^2 is perpendicular to a magnetic field that increases uniformly in magnitude from 2T to 8T in 3s. What is the EMF in the loop?A coil with 35 turns sits in a magnetic field. The cross-sectional area of the coil is 5.1 cm2. If the magnetic field uniformly reduces from 1.0×101 T to 1.5 T in 6.5 seconds, what is the magnitude of the induced emf in that coil?