Exam 23: Faradays Law and Inductance
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A long straight wire is parallel to one edge and is in the plane of a single-turn rectangular loop as shown.If the loop is changing width so that the distance x changes at a constant rate of 4.0 cm/s,what is the magnitude of the emf induced in the loop at an instant when x = 6.0 cm? Let a = 2.0 cm,b = 1.2 m,and I = 30 A. 
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A metal rod of length L in a region of space where a constant magnetic field points into the page rotates clockwise about an axis through its center at constant angular velocity .While it rotates,the point(s)at lowest potential is(are)
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When a switch is closed,completing an LR series circuit,the time needed for the current to reach three-quarters its maximum value is ____ time constants.
(Multiple Choice)
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In a region of space where the magnetic field of the earth has a magnitude of 80 T and is directed 30 below the horizontal,a 50-cm length of wire oriented horizontally along an east-west direction is moved horizontally to the south with a speed of 20 m/s.What is the magnitude of the induced potential difference between the ends of this wire?
(Multiple Choice)
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In the arrangement shown,a conducting bar of negligible resistance slides along horizontal,parallel,frictionless conducting rails connected as shown to a 2.0 resistor.A uniform 1.5-T magnetic field is perpendicular to the plane of the paper.If L = 60 cm,at what rate is thermal energy being generated in the resistor at the instant the speed of the bar is equal to 4.2 m/s?
(Multiple Choice)
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A long straight wire is parallel to one edge and is in the plane of a single-turn rectangular loop as shown.If the loop is moving in the plane shown so that the distance x changes at a constant rate of 20 cm/s,what is the magnitude of the emf induced in the loop at the instant x = 5.0 cm? Let I = 50 A,a = 50 cm,b = 6.0 cm. 
(Multiple Choice)
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A coil is wrapped with 300 turns of wire on the perimeter of a circular frame (radius = 8.0 cm).Each turn has the same area,equal to that of the frame.A uniform magnetic field is turned on perpendicular to the plane of the coil.This field changes at a constant rate from 20 to 80 mT in a time of 20 ms.What is the magnitude of the induced emf in the coil at the instant the magnetic field has a magnitude of 50 mT?
(Multiple Choice)
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Two bulbs are shown in a circuit that surrounds a region of increasing magnetic field directed out of the page.When the switch is closed, 
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A 10-mH inductor is connected in series with a 10-ohm resistor,a switch and a 6-volt battery.What is the time constant of the circuit? How long after the switch is closed will the current reach 99 percent of its final value?
(Short Answer)
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A long solenoid has a radius of 4.0 cm and has 800 turns/m.If the current in the solenoid is increasing at the rate of 3.0 A/s,what is the magnitude of the induced electric field at a point 2.2 cm from the axis of the solenoid?
(Multiple Choice)
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An AC generator consists of 6 turns of wire.Each turn has an area of 0.040 m2.The loop rotates in a uniform field (B = 0.20 T)at a constant frequency of 50 Hz.What is the maximum induced emf?
(Multiple Choice)
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A circuit contains two inductors of 6.0 mH inductance in series placed in parallel with an inductor of 8.0 mH inductance.After one of the 6.0 mH inductors burns out,the repair person wants to replace all three inductors with one inductor of equivalent inductance.Assuming inductors combine in series and parallel the same way resistors do,what inductance should she use?
(Multiple Choice)
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Two bulbs are shown in a circuit that surrounds a region of increasing magnetic field directed out of the page.When the switch is closed, 
(Multiple Choice)
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When a switch is closed to complete a DC series RL circuit,
(Multiple Choice)
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A conducting rod (length = 80 cm)rotates at a constant angular rate of 15 revolutions per second about a pivot at one end.A uniform field (B = 60 mT)is directed perpendicularly to the plane of rotation.What is the magnitude of the emf induced between the ends of the rod?
(Multiple Choice)
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A planar loop consisting of four turns of wire,each of which encloses 200 cm2,is oriented perpendicularly to a magnetic field that increases uniformly in magnitude from 10 mT to 25 mT in a time of 5.0 ms.What is the resulting induced current in the coil if the resistance of the coil is 5.0 ?
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A flat coil of wire consisting of 20 turns,each with an area of 50 cm2,is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 2.0 T to 6.0 T in 2.0 s.If the coil has a total resistance of 0.40 ,what is the magnitude of the induced current?
(Multiple Choice)
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Coaxial Cable A has twice the length,twice the radius of the inner solid conductor,and twice the radius of the outer cylindrical conducting shell of coaxial Cable B.What is the ratio of the inductance of Cable A to that of Cable B?
(Multiple Choice)
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A rod (length = 10 cm)moves on two horizontal frictionless conducting rails,as shown.The magnetic field in the region is directed perpendicularly to the plane of the rails and is uniform and constant.If a constant force of 0.60 N moves the bar at a constant velocity of 2.0 m/s,what is the current through the 12- load resistor?
(Multiple Choice)
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A conducting bar of length L rotates in a counterclockwise direction with a constant angular speed of +2.0 rad/s about a pivot P at one end,as shown.A uniform magnetic field (magnitude = 0.20 T)is directed into the paper.If L = 0.40 m,what is the potential difference,VA -VB? 
(Multiple Choice)
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