College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- . The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also carries a resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. The loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the following questions at the instant of time t" when the left edge of the loop is at position "x" as shown below Use the coordinate system , x to the right, y into the board, z upward a) Write an expression for the magnetic field as a function of the distance "x" (from the LONG conductor to the loop. ) USE “+" for CCW circulation and “.“ for CW circulation. b) Write the magnetic field in "i-j-k" format at point "x" to the right of the current carrying wire in the "i-zZ" plane R a c) Write the infinitesimal area vector for the loop in "i-j-k" format d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for B and…arrow_forward.arrow_forwardA long, straight wire carrying a current of 3.13 A moves with a constant speed v to the right. A 5-turn circular coil of diameter 12.5 cm, and resistance of 3.25 µ, lies stationary in the same plane as the straight wire. At some initial time the wire is at a distance d 8.35 cm from the center of the coil. 5.10 s later, the wire is at a distance 2d from the center of the coil. What is the magnitude and direction of the average induced current in the coil? mA magnitude direction ---Select--- O initial situation 2d final situationarrow_forward
- A long straight wire carrying a current of 2.40 A moves with a constant speed v to the right. A 5 turn circular coil of diameter 12.5 cm, and resistance of 3.25 µΩ, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil at a distance d = 3.00 cm from its center. 5.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. What is the magnitude and direction of the induced current in the coil? magnitude: mAarrow_forwardA long straight wire carrying a current of 2.13 A moves with a constant speed v to the right. A 120 turn circular coil of diameter 1.50 cm, and resistance of 3.25 µn, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil at a distance d = 14.0 cm from its center. 5.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. You may assume for simplicity that the magnetic field is uniform in the region of the coil. Initial situation Final situation (a) What is the direction of the induced current in the coil as the wire moves toward the coil, in the initial situation? O clockwise O counterclockwise O no current (b) What is the direction of the induced current in the coil as the wire moves away from coil, in the final situation? O clockwise O counterclockwise O no current (c) What is the magnitude of the average induced current in the coil over the 5.00 s interval? mAarrow_forwardA conducting rod of length 1.58m moves with a velocity 34.7m/s parallel to a long wire carrying a steady current of 21.9 mA. The axis of the rod is maintained perpendicular to the wire with the near end a distance 8.03cm away. Calculate the magnitude of the emf induced in the rod. Submit Answer Tries 0/10arrow_forward
- The figure shows a rod of length L = 12.8 cm that is forced to move at constant speed v = 5.80 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance 0.581 0; the rest of the loop has negligible resistance. A current i = 140 A through the long straight wire at distance a = 13.8 mm from the loop sets up a (nonuniform) magnetic field throughout loop. Find the (a) magnitude of the emf and (b) current induced in the loop. (c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed? (e) At what rate does this force do work on the rod? a 1 X X P . . X x X x X x • . @ • • . . ● Thank . 0 . • . Xi 150 B .arrow_forwardThe magnetic flux through the loop shown in the accompanying figure varies with time according to Pm = Poe at sin(wt), where = 3 x 10-³ T m², a = 5 s¹, and w = 120 rad/s. What are the direction and magnitude of the current through the 5-0 resistor at (a) t = 0; (b) t = 2.17 x 10-2 s, and (c) t = 3.00 s? Hints tm Sok Pro a. Current flows down b. Current flows up c. Current flows down v Question Help: Message instructor Submit Question with with with ' 5.0 Ω mA at t = 0. mA at t= 2.17 x 10-2 mA at t = 3.00 s. S.arrow_forwardA long, straight wire carrying a current of 3.33 A moves with a constant speed v to the right. A 5-turn circular coil of diameter 12.5 cm, and resistance of 3.25 pn, lies stationary in the same plane as the straight wire. At some initial time the wire is at a distance d = 7.30 cm from the center of the coil. 4.87 s later, the wire is at a distance 2d from the center of the coil. What is the magnitude and direction of the average induced current in the coil? magnitude mA direction ---Select-- 2d initial situation final situationarrow_forward
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