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Chapter 30: Q74P (page 900)
Two solenoids are part of the spark coil of an automobile. When the current in one solenoid falls from to zero in 2.5ms, an emf of 30 kVis induced in the other solenoid. What is the mutual inductance M of the solenoids?
Short Answer is Missing in the Doucument
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In Figure, the magnetic flux through the loop increases according to the relation , whereis in milli-Weber and t is in seconds. (a) What is the magnitude of the emf induced in the loop when t = 2.0 s? (b) Is the direction of the current through R to the right or left?
A long solenoid has a diameter of 12.0 cm.When a current i exists in its windings, a uniform magnetic field of magnitude B = 30.0 mTis produced in its interior. By decreasing i, the field is caused to decrease at the rate of .(a) Calculate the magnitude of the induced electric field 2.20 cmfrom the axis of the solenoid.
(b) Calculate the magnitude of the induced electric field 8.20 cmfrom the axis of the solenoid.
Figure 30-24 shows two circuits in which a conducting bar is slid at the same speed vthrough the same uniform magnetic field and along a U-shaped wire. The parallel lengths of the wire are separated by 2Lin circuit 1 and by Lin circuit 2. The current induced in circuit 1 is counter clockwise. (a) Is the magnetic field into or out of the page? (b) Is the current induced in circuit 2 clockwise or counter clockwise? (c) Is the emf induced in circuit 1 larger than, smaller than, or the same as that in circuit 2?
Figure 30-73a shows two concentric circular regions in which uniform magnetic fields can change. Region 1, with radius, has an outward magnetic field that is increasing in magnitude. Region 2, with radius , has an outward magnetic field that may also be changing. Imagine that a conducting ring of radius R is centered on the two regions and then the emf around the ring is determined. Figure 30-73b gives emf as a function of the square R2 of the ring’s radius, to the outer edge of region 2. The vertical axis scale is set by . What are the rates (a) and (b) ? (c) Is the magnitude of increasing, decreasing, or remaining constant?
Figure (a) shows a circuit consisting of an ideal battery with emf , a resistance R, and a small wire loop of area . For the time interval t = 10 s to t = 20 s, an external magnetic field is set up throughout the loop. The field is uniform, its direction is into the page in Figure (a), and the field magnitude is given by B = at, where B is in Tesla, a is a constant, and t is in seconds. Figure (b) gives the current i in the circuit before, during, and after the external field is set up. The vertical axis scale is set by. Find the constant a in the equation for the field magnitude.
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