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Chapter 30: Q61P (page 900)
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?
a)
b)
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A uniform magnetic field is perpendicular to the plane of a circular wire loop of radius r. The magnitude of the field varies with time according to, whereandare constants. Find an expression for the emf in the loop as a function of time.
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?
A wire is bent into three circular segments, each of radius r=10 cm, as shown in Figure. Each segment is a quadrant of a circle, ab lying in the xy plane, bc lying in the yz plane, and ca lying in the zx plane. (a) If a uniform magnetic fieldpoints in the positive x direction, what is the magnitude of the emf developed in the wire when B increases at the rate of 3.0 mT/s? (b) What is the direction of the current in segment bc?
The figure shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distancex>>R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at the constant rate. (a)Find an expression for the magnetic flux through the area of the smaller loop as a function of x. (b)In the smaller loop, find an expression for the induced emf. (c)Find the direction of the induced current.
A wire loop of radius 12 cmand resistanceis located in a uniform magnetic field that changes in magnitude as given in Figure. The vertical axis scale is set by, and the horizontal axis scale is set by. The loop’s plane is perpendicular to. What emf is induced in the loop during time intervals (a) 0 to 2.0 s,(b) 2.0 s to 4.0 s, and (c) 4.0 s to 6.0 s?
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