Exam 19: Electromagnetic Induction

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As shown in the figure,a straight wire carries a current I into the page.The wire passes through the center of a toroidal coil.If the current I is quickly reduced to zero,the direction of the induced current through the resistor R is As shown in the figure,a straight wire carries a current I into the page.The wire passes through the center of a toroidal coil.If the current I is quickly reduced to zero,the direction of the induced current through the resistor R is

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A single-turn loop of wire,having a resistance of 8.00 Ω and a cross-sectional area 200 cm2,is perpendicular to a uniform B⃗\vec { B } field that increases in magnitude steadily from 0.200 T to 2.800 T in 2.20 seconds.What is the magnitude of the induced current in the loop?

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A bar magnet is oriented above a copper ring,as shown in the figure.If the magnet is pulled upward,what is the direction of the current induced in the ring,as viewed from above? A bar magnet is oriented above a copper ring,as shown in the figure.If the magnet is pulled upward,what is the direction of the current induced in the ring,as viewed from above?

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A rectangular coil of N turns,length L = 25 cm,and width w = 15 cm,as shown in the figure,is rotating in a magnetic field of 1.6 T with a frequency of 75 Hz.If the coil develops a maximum emf 56.9 V,what is the value of N? A rectangular coil of N turns,length L = 25 cm,and width w = 15 cm,as shown in the figure,is rotating in a magnetic field of 1.6 T with a frequency of 75 Hz.If the coil develops a maximum emf 56.9 V,what is the value of N?

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A conducting rod whose length is ℓ = 1.60 m is placed on frictionless U-shaped metal rails that is connected to a lightbulb having a resistance of 4.00 Ω as shown in the figure.The rails and the rod are in the plane of the page.A constant uniform B⃗\vec { B } field of 2.20 T in magnitude is applied perpendicular to and out of the paper.What is the magnitude of the external force needed to move the rod to the right with a constant speed of 6.00 m/s?  A conducting rod whose length is ℓ = 1.60 m is placed on frictionless U-shaped metal rails that is connected to a lightbulb having a resistance of 4.00 Ω as shown in the figure.The rails and the rod are in the plane of the page.A constant uniform  \vec { B }  field of 2.20 T in magnitude is applied perpendicular to and out of the paper.What is the magnitude of the external force needed to move the rod to the right with a constant speed of 6.00 m/s?

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A circular wire ring is situated above a long straight wire,as shown in the figure.The straight wire has a current I flowing to the right,and this current is increasing at a constant rate.Which of the following statements is true? A circular wire ring is situated above a long straight wire,as shown in the figure.The straight wire has a current I flowing to the right,and this current is increasing at a constant rate.Which of the following statements is true?

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The magnetic flux through a coil changes steadily from 4.0 × 10-5 T ∙ m2 to 5.0 × 10-5 T ∙ m2 in 0.10 s.What emf is induced in this coil?

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As shown in the figure,a C-shaped conductor is in a uniform magnetic field B out of the page,and the magnitude of B is increasing.What is the polarity of the induced emf in terminals X and Y? As shown in the figure,a C-shaped conductor is in a uniform magnetic field B out of the page,and the magnitude of B is increasing.What is the polarity of the induced emf in terminals X and Y?

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If the primary coil of a transformer contains more loops than the secondary coil then it is a

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A flat circular loop of radius 0.10 m is rotating in a uniform B⃗\vec { B } field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the B⃗\vec { B } field vector are perpendicular.

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You need an ideal transformer to reduce a voltage of 150 V in the primary circuit to 25 V in the secondary circuit.The primary circuit has 130 windings and the secondary circuit is completed through a 55-Ω resistor.How many windings should the secondary circuit contain?

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A flat coil having 40 turns,each one of cross-sectional area 12.0 cm2,is oriented with its plane perpendicular to a uniform B⃗\vec { B } field.The field varies steadily from 0.00 T to 1.20 T in 20.0 ms.What emf is induced in the coil during this time?

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As shown in the figure,a uniform magnetic field B is confined to a cylindrical volume of radius 0.050 m.This B⃗\vec { B } field is directed into the plane of the page and its magnitude is increasing at a constant rate of 0.900 T/s0.900 \mathrm {~T} / \mathrm { s } Calculate the magnitude and direction (clockwise or counterclockwise)of the current induced in a circular wire ring of radius 0.16 m and resistance 7.1Ω7.1 \Omega that encircles the magnetic field region.  As shown in the figure,a uniform magnetic field B is confined to a cylindrical volume of radius 0.050 m.This  \vec { B }  field is directed into the plane of the page and its magnitude is increasing at a constant rate of  0.900 \mathrm {~T} / \mathrm { s }  Calculate the magnitude and direction (clockwise or counterclockwise)of the current induced in a circular wire ring of radius 0.16 m and resistance  7.1 \Omega  that encircles the magnetic field region.

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If the secondary coil of a transformer contains more loops than the primary coil,then it is a

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A bar magnet is close to a solenoid,as shown in the figure.As viewed through the solenoid looking toward the magnet,what is the direction (clockwise or counterclockwise)of the current (if any)induced in the solenoid in each case? (a)The magnet is pushed toward the solenoid. (b)The magnet and solenoid both move to the right at 25 cm/s. A bar magnet is close to a solenoid,as shown in the figure.As viewed through the solenoid looking toward the magnet,what is the direction (clockwise or counterclockwise)of the current (if any)induced in the solenoid in each case? (a)The magnet is pushed toward the solenoid. (b)The magnet and solenoid both move to the right at 25 cm/s.

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The primary coil of an ideal transformer has 100 turns and its secondary coil has 400 turns.If the ac voltage applied to the primary coil is 120 V,what voltage is present in its secondary coil?

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As shown in the figure,a large round loop of 269 turns and radius 67.0 cm carries a current of I = 78.0 A. 78.0 \mathrm {~A} \text {. } A small square loop of 31.0 turns and 1.00 cm on a side is placed at the center of the large loop.If the current in the large loop drops to 0.00 A in 0.0470 s,find the induced emf in the small loop.The square loop is small enough that you can assume that the B⃗\vec { B } field in its region is uniform and equal to the B⃗\vec { B } field at the center of the round loop.(μ0 = 4π × 10-7 T ∙ m/A)  As shown in the figure,a large round loop of 269 turns and radius 67.0 cm carries a current of I =  78.0 \mathrm {~A} \text {. }  A small square loop of 31.0 turns and 1.00 cm on a side is placed at the center of the large loop.If the current in the large loop drops to 0.00 A in 0.0470 s,find the induced emf in the small loop.The square loop is small enough that you can assume that the  \vec { B }  field in its region is uniform and equal to the  \vec { B }  field at the center of the round loop.(μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)

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In the figure,a bar magnet moves away from the solenoid.The direction of the induced current through the resistor R is In the figure,a bar magnet moves away from the solenoid.The direction of the induced current through the resistor R is

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The coil of an ac generator has 50 loops and a cross-sectional area of 0.25 m2.What is the maximum emf that can be generated by this generator if it is spinning with an angular speed of 4.0 rad/s in a 2.0-T B⃗\vec { B } field?

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