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Chapter 30: Q73P (page 900)
Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at the rate 15.0 A/s, the emf in coil 1 is 25.0 mV. (a) What is their mutual inductance? (b) When coil 2 has no current and coil 1 has a current of 3.60A, what is the flux linkage in coil 2?
a)
b)
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For the circuit of Figure, assume that . The ideal battery is connected at time. (a) How much energy is delivered by the battery during the first 2.00 s? (b) How much of this energy is stored in the magnetic field of the inductor? (c) How much of this energy is dissipated in the resistor?
Two coils connected as shown in Figure separately have inductances L1 and L2. Their mutual inductance is M. (a) Show that this combination can be replaced by a single coil of equivalent inductance given by
(b) How could the coils in Figure be reconnected to yield an equivalent inductance of
(This problem is an extension of Problem 47, but the requirement that the coils be far apart has been removed.)
A coil C of N turns is placed around a long solenoid S of radius R and n turns per unit length, as in Figure. (a) Show that the mutual inductance for the coil鈥搒olenoid combination is given by . (b) Explain why M does not depend on the shape, size, or possible lack of close packing of the coil.
In Figure, a rectangular loop of wire with lengthis placed near an infinitely long wire carrying current i = 4.7 A. The loop is then moved away from the wire at constant speed v = 3.2 mm/s. When the center of the loop is at distance r = 1.5b, (a) what is the magnitude of the magnetic flux through the loop?(b) what is the current induced in the loop? 
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.)
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