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An alternating-current electric motor includes a thin, hollow, cylindrical spool (similar to a ring) with mass M = 1.11 kg and radius a = 5.00 cm wrapped N = 500 times with a copper wire with resistance R = 5.00 2 and inductance L = 77.0 mH. Within the spool is a battery that supplies current I = 1.00 A, which makes the spool a magnetic dipole with dipole moment parallel to the cylinder axis. A constant magnetic field with magnitude B = 2.00 T is supplied by an external stator magnet, while the spool turns freely on an axis perpendicular to its own axis. At a certain time, a bar is inserted, stopping the spool's motion (Figure 1). At that instant the angle between the spool axis and the magnetic field is 0 = 45.0⁰. Figure Coil Short circuit at = 0 B M 1 of 1 Part A What is the magnitude of the downward force F applied by the bar onto the spool immediately after the bar is inserted? Express your answer with the appropriate units. F = Submit Part B Value t = Request Answer Units Value Later, at time t=0 with spool still at rest, the coil is short-circuited and a constant counter-torque T = 0.500 N·m is applied. The current subsides, and the magnetic torque decreases exponentially. At what time t does the force applied by the bar vanish? (Hint: Determine when the magnetic torque balances the counter-torque.) Express your answer with the appropriate units. = Units ? ?

An alternating-current electric motor includes a thin, hollow, cylindrical spool (similar to a ring) with mass M = 1.11 kg and radius a = 5.00 cm wrapped N = 500 times with a copper wire with resistance R = 5.00 2 and inductance L = 77.0 mH. Within the spool is a battery that supplies current I = 1.00 A, which makes the spool a magnetic dipole with dipole moment parallel to the cylinder axis. A constant magnetic field with magnitude B = 2.00 T is supplied by an external stator magnet, while the spool turns freely on an axis perpendicular to its own axis. At a certain time, a bar is inserted, stopping the spool's motion (Figure 1). At that instant the angle between the spool axis and the magnetic field is 0 = 45.0⁰. Figure Coil Short circuit at = 0 B M 1 of 1 Part A What is the magnitude of the downward force F applied by the bar onto the spool immediately after the bar is inserted? Express your answer with the appropriate units. F = Submit Part B Value t = Request Answer Units Value Later, at time t=0 with spool still at rest, the coil is short-circuited and a constant counter-torque T = 0.500 N·m is applied. The current subsides, and the magnetic torque decreases exponentially. At what time t does the force applied by the bar vanish? (Hint: Determine when the magnetic torque balances the counter-torque.) Express your answer with the appropriate units. = Units ? ?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An alternating-current electric motor includes a thin, hollow, cylindrical spool (similar to a ring) with mass M = 1.11 kg and radius a = 5.00 cm wrapped N = 500 times with a copper wire with resistance R = 5.00 and inductance L = 77.0 mH. Within the spool is a battery that supplies current I = 1.00 A, which makes the spool a magnetic dipole with dipole moment parallel to the cylinder axis. A constant magnetic field with magnitude B = 2.00 T is supplied by an external stator magnet, while the spool turns freely on an axis perpendicular to its own axis. At a certain time, a bar is inserted, stopping the spool's motion (Figure 1). At that instant the angle between the spool axis and the magnetic field is 0 = 45.0⁰. Figure Coil Short circuit at t = 0 B M a 1 of 1 Part A What is the magnitude of the downward force applied by the bar onto the spool immediately after the bar is inserted? Express your answer with the appropriate units. F = Submit Part B Value t = Request Answer Later, at time t=0 with spool still at rest, the coil is short-circuited and a constant counter-torque T = 0.500 N·m is applied. The current subsides, and the magnetic torque decreases exponentially. At what time t does the force applied by the bar vanish? (Hint: Determine when the magnetic torque balances the counter-torque.) Express your answer with the appropriate units. ША Units Value ? Units
Transcribed Image Text:An alternating-current electric motor includes a thin, hollow, cylindrical spool (similar to a ring) with mass M = 1.11 kg and radius a = 5.00 cm wrapped N = 500 times with a copper wire with resistance R = 5.00 and inductance L = 77.0 mH. Within the spool is a battery that supplies current I = 1.00 A, which makes the spool a magnetic dipole with dipole moment parallel to the cylinder axis. A constant magnetic field with magnitude B = 2.00 T is supplied by an external stator magnet, while the spool turns freely on an axis perpendicular to its own axis. At a certain time, a bar is inserted, stopping the spool's motion (Figure 1). At that instant the angle between the spool axis and the magnetic field is 0 = 45.0⁰. Figure Coil Short circuit at t = 0 B M a 1 of 1 Part A What is the magnitude of the downward force applied by the bar onto the spool immediately after the bar is inserted? Express your answer with the appropriate units. F = Submit Part B Value t = Request Answer Later, at time t=0 with spool still at rest, the coil is short-circuited and a constant counter-torque T = 0.500 N·m is applied. The current subsides, and the magnetic torque decreases exponentially. At what time t does the force applied by the bar vanish? (Hint: Determine when the magnetic torque balances the counter-torque.) Express your answer with the appropriate units. ША Units Value ? Units
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