Exam 19: Electromagnetic Induction
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A flat circular loop of radius 0.10 m is rotating in a uniform field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the field vector are parallel.
(Multiple Choice)
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A round flat conducting loop is placed perpendicular to a uniform 0.50 T field.If the area of the loop increases at a rate of 3.0 × /s,what is the induced emf in the loop?
(Multiple Choice)
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A conducting rod whose length is ℓ = 27.0 cm is placed on frictionless U-shaped metal rails that is connected to a lightbulb having a resistance of 5.00 Ω as shown in the figure.The rails and the rod are in the plane of the page.A constant magnetic field 1.20 T in magnitude is applied perpendicular to and out of the paper.An external force exerted on the rod moves the rod to the right with a constant speed.At what speed should the rod be pulled so that the lightbulb will consume energy at a rate of 1.10 W?
(Multiple Choice)
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An ac generator consists of 100 loops of wire,each of area 0.090 m2,and has a total resistance 12 Ω.The loops rotate about a diameter in a magnetic field of 0.50 T at a constant angular speed of 60 revolutions per second.Find the maximum induced emf in the generator.
(Multiple Choice)
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A generator produces 60 A of current at 120 V.The voltage is usually stepped up to 4500 V by an ideal transformer and transmitted through a power line of total resistance 1.0 Ω.Find the number of turns in the secondary if the primary has 200 turns.
(Multiple Choice)
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A circular coil of 20 turns and radius 5.0 cm is placed with its plane oriented at 90° to a uniform field of The field is now increased at a steady rate,reaching a value of after 4.0 seconds.What emf is induced in the coil?
(Multiple Choice)
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A conducting rod with a length ℓ = 25 cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8.0 Ω as shown in the figure.The wire and the rod are in the plane of the page.A constant uniform field of 0.40 T in magnitude is applied perpendicular to and into the paper.An external applied force moves the rod to the right with a constant speed of 6.0 m/s.What are the magnitude and direction of the induced current in the circuit?
(Multiple Choice)
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A 2.00-m long metal wire is formed into a square and placed in the horizontal xy-plane.A uniform field is oriented at 30° above the horizontal with a magnitude of 0.344 T.What is the magnetic flux through the square due to this field?
(Multiple Choice)
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A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a field of 0.40 T,as shown in the figure.The length of the loop L is 0.16 m and its width w is 0.040 m.What is the magnetic flux through the loop when the plane of the loop is perpendicular to the field?
(Multiple Choice)
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A conducting rod of length ℓ= 25 cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8.0 Ω,as shown in the figure.The wire and the rod are in the plane of the page.A constant uniform field of 0.40 T in magnitude is applied perpendicular to and into the paper.An applied external force pulls the rod to the right with a constant speed of 6.0 m/s.What is the magnitude of the emf induced in the rod?
(Multiple Choice)
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An ac generator contains 80 flat rectangular loops of wire,each of which is 12 cm long and 8 cm wide.The loops rotate at 1200 rpm about an axis through the center and parallel to the long side.If the field in which the loop rotates is uniform,has magnitude 0.30 T,and is perpendicular to the axis of rotation,what will be the maximum output voltage of this generator?
(Multiple Choice)
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The primary of an ideal transformer has 100 turns and its secondary has 200 turns.If the input voltage to the primary is 100 V,we can expect the output voltage of the secondary to be
(Multiple Choice)
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According to Lenz's law,the induced current in a circuit always flows to oppose the external magnetic flux through the circuit.
(True/False)
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A flat circular loop of radius 0.10 m is rotating in a uniform field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the field vector are at an angle of 30°.
(Multiple Choice)
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A circular coil of copper wire is lying flat on a horizontal table.A bar magnet is held above the center of the coil with its south pole downward.The magnet is released from rest and falls toward the coil.As viewed from above,what is the direction of the current induced in the coil as the magnet approaches the coil?
(Multiple Choice)
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A circular coil of copper wire is lying flat on a horizontal table.A bar magnet is held above the center of the coil with its south pole downward.The magnet and the coil are now both raised upward with the same velocities.As viewed from above,what is the direction of the current induced in the coil as the magnet approaches the coil?
(Multiple Choice)
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A conducting rod whose length is ℓ = 25 cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8.0 Ω as shown in the figure.The wire and the rod are in the plane of the page.A constant uniform field of 0.40 T in magnitude is applied perpendicular to and out of the paper.An external applied force moves the rod to the left with a constant speed of 12 m/s.What are the magnitude and direction of the induced current in the circuit?
(Multiple Choice)
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A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a field of 0.40 T,as shown in the figure.The length of the loop L is 0.16 m and its width w is 0.040 m.What is the magnetic flux through the loop when the plane of the loop makes an angle of 60° with the field?
(Multiple Choice)
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You wish to construct a simple ac generator with a maximum output of 12 V when rotated at 60 Hz.A magnetic field of 0.050 T is available.If the area of the rotating coil is 100 cm2,how many turns are needed?
(Short Answer)
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