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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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A coil is connected in series with a resistor. An ideal 50.0 Vbattery is applied across the two devices, and the current reaches a value of 2.00 mAafter 5.00 ms.(a) Find the inductance of the coil. (b) How much energy is stored in the coil at this same moment?
The current i through a 4.6 Hinductor varies with time t as shown by the graph of Figure, where the vertical axis scale is set by and the horizontal axis scale is set by . The inductor has a resistance of.(a) Find the magnitude of the induced emf during time intervals 0 to 2 ms. (b) Find the magnitude of the induced emf during time intervals 2 ms to 5 ms. (c) Find the magnitude of the induced emf during time intervals 5 ms to 6 ms. (Ignore the behavior at the ends of the intervals.)
The conducting rod shown in Figure has length L and is being pulled along horizontal, frictionless conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that. (a) What is the magnitude of the emf induced in the rod? (b) What is the direction (up or down the page) of the emf induced in the rod? (c) What is the size of the current in the conducting loop? (d) What is the direction of the current in the conducting loop? Assume that the resistance of the rod is 0.40 and that the resistance of the rails and metal strip is negligibly small. (e) At what rate is thermal energy being generated in the rod? (f) What external force on the rod is needed to maintain? (g) At what rate does this force do work on the rod?
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.
In Figure, after switch S is closed at time, the emf of the source is automatically adjusted to maintain a constant current i through S. (a) Find the current through the inductor as a function of time. (b) At what time is the current through the resistor equal to the current through the inductor?
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