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Chapter 30: Q90P (page 902)
How long would it take, following the removal of the battery, for the potential difference across the resistor in an RL circuit (with L = 2.00H, R = 3.00) to decay to 10.0% of its initial value?
The time required for the current to decay to 10% of its initial value is t = 1.54s
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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.)
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?
What must be the magnitude of a uniform electric field if it is to have the same energy density as that possessed by a 0.50 T magnetic field?
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?
Figure 30-78 shows a wire that has been bent into a circular arc of radius r = 24cm, centred at O. A straight wire OP can be rotated about O and makes sliding contact with the arc at P. Another straight wire OQ completes the conducting loop. The three wires have cross-sectional area and resistivity , and the apparatus lies in a uniform magnetic field of magnitude B = 0.150Tdirected out of the figure. Wire OP begins from rest at angle and has constant angular acceleration of 12rad/sec. As functions of u (in rad), find (a) the loop鈥檚 resistance and (b) the magnetic flux through the loop. (c) For what is the induced current maximum and (d)what is the maximum?
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