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Chapter 30: Q96P (page 902)
A square loop of wire is held in a uniformB=0.24Tmagnetic field directed perpendicular to the plane of the loop. The length of each side of the square is decreasing at a constant rate of 5.0 cm/s. What emf is induced in the loop when the length is 12 cm ?
The induced in the loop is,
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A wooden toroidal core with a square cross section has an inner radius of10 cm and an outer radius of 12 cm. It is wound with one layer of wire (of diameter1.0 mmand resistance per meter ). (a) What is the inductance? (b) What is the inductive time constant of the resulting toroid? Ignore the thickness of the insulation on the wire.
In Figure, .Immediately after switch S is closed, (a) what is i1? (b) what is i2? (Let currents in the indicated directions have positive values and currents in the opposite directions have negative values.) A long time later, (c) what is i1? (d) what is i2? The switch is then reopened. Just then, (e) what is i1? (f) what is i2? A long time later, (g) what is i1? (h) what is i2?
Figure shows a rod of length L = 10.0 cm that is forced to move at constant speed v = 5.0 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance ; the rest of the loop has negligible resistance. A current i = 100 Athrough the long straight wire at distance a = 10.0 mm from the loop sets up a (non-uniform) magnetic field through the loop. (a) Find the emf. (b) Find the current induced in the loop. c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed?(e) At what rate does this force do work on the rod?
A long cylindrical solenoid with 100 turns/cmhas a radius of 1.6 cm. Assume that the magnetic 铿乪ld it produces is parallel to its axis and is uniform in its interior. (a) What is its inductance per meter of length? (b) If the current changes at the rate of 13A/s, what emf is induced per meter?
In Fig. 30-26, a wire loop has been bent so that it has three segments: segment bc(a quarter-circle), ac(a square corner), and ab(straight). Here are three choices for a magnetic field through the loop:
where Bis in milliteslas and tis in seconds. Without written calculation, rank the choices according to (a) the work done per unit charge in setting up the induced current and (b) that induced current, greatest first. (c) For each choice, what is the direction of the induced current in the figure?
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