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Chapter 30: Q96P (page 902)
A square loop of wire is held in a uniformB=0.24Tmagnetic field directed perpendicular to the plane of the loop. The length of each side of the square is decreasing at a constant rate of 5.0 cm/s. What emf is induced in the loop when the length is 12 cm ?
The induced in the loop is,
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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?
Question: A small circular loop of area 2.00200 Ais placed in the plane of, and concentric with, a large circular loop of radius 1.00 t = 0.500 s. The current in the large loop is changed at a constant rate from -200 A to(a change in direction) in a time of 1.00 s, starting at t = 0. (a) What is the magnitude of the magnetic field Bat the center of the small loop due to the current in the large loop at t = 0?(b) What is the magnitude of the magnetic field at the center of the small loop due to the current in the large loop at t = 0.500 s?(c) What is the magnitude of the magnetic fieldat the center of the small loop due to the current in the large loop at t =1.00s? (d) Fromt = 0 to t = 1.00 s, is. reversed? Because the inner loop is small, assumeis uniform over its area. (e) What emf is induced in the small loop at ?
In Figure (a), a circular loop of wire is concentric with a solenoid and lies in a plane perpendicular to the solenoid’s central axis. The loop has radius 6.00 cm.The solenoid has radius 2.00 cm, consists of , and has a current isol varying with time tas given in Figure (b), where the vertical axis scale is set by is and the horizontal axis scale is set by . Figure (c) shows, as a function of time, the energy Eth that is transferred to thermal energy of the loop; the vertical axis scale is set by . What is the loop’s resistance?
Suppose the emf of the battery in the circuit shown in Figure varies with time t so that the current is given by i(t) = 3.0 +5.0 t , where i is in amperes and t is in seconds. Take , and find an expression for the battery emf as a function of t. (Hint: Apply the loop rule.)
A rectangular loop of N closely packed turns is positioned near a long straight wire as shown in Figure. What is the mutual inductance M for the loop–wire combination if
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