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Exam 22: Electromagnetic Induction

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Question 41

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Two coils, 1 and 2, with iron cores are positioned as shown in the figure.Coil 1 is part of a circuit with a battery and a switch. -Assume S has been closed for a long time.Which one of the following statements is true when coil 1 and its core are moved toward point B?

A) There is no induced current in r.
B) There is a magnetic field in coil 1 that points toward B.
C) There is an induced current in R that flows from left to right.
D) There is an induced current in R that flows from right to left.
E) There is an induced magnetic field in coil 2 that points toward B.

F) A) and C)
G) A) and E)

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Question 42

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A 1.2-kg rod that has a length of 1.0 m and a resistance of 5.0 $\Omega$ slides with constant speed down a pair of frictionless vertical conducting rails that are joined at the bottom.Other than the rod, the rest of the circuit is resistanceless.A uniform magnetic field of magnitude 3.0 T is perpendicular to the plane formed by the rod and the rails as shown.Determine the speed of the rod.

A) 0.38 m/s
B) 0.90 m/s
C) 2.6 m/s
D) 6.5 m/s
E) 8.7 m/s

F) None of the above
G) D) and E)

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Question 43

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A 0.60-T magnetic field is directed perpendicular to the plane of a circular loop of radius 0.40 m.What is the magnitude of the magnetic flux through the loop?

A circuit is pulled with a 21-N force toward the right to maintain a constant speed v.At the instant shown, the loop is partially in and partially out of a uniform magnetic field that is directed into the paper.As the circuit moves, a 4.0-A current flows through a 6.0- $\Omega$ resistor. -What is the magnitude of v?

22-4 A 0.100-m long solenoid has a radius of 0.050 m and 1.50 × 10⁴ turns.The current in the solenoid changes at a rate of 6.0 A/s.A conducting loop of radius 0.0200 m is placed at the center of the solenoid with its axis the same as that of the solenoid as shown. -Determine the induced emf in the loop.

Two coils share a common axis as shown in the figure.The mutual inductance of this pair of coils is 6.0 mH.If the current in coil 1 is changing at the rate of 3.5 A/s, what is the magnitude of the emf generated in coil 2?

A flexible, circular conducting loop of radius 0.15 m and resistance 4.0 $\Omega$ lies in a uniform magnetic field of 0.25 T.The loop is pulled on opposite sides by equal forces and stretched until its enclosed area is essentially zero m², as suggested in the drawings.It takes 0.30 s to close the loop. -At what rate is heat generated in the loop?

A circuit is pulled with a 21-N force toward the right to maintain a constant speed v.At the instant shown, the loop is partially in and partially out of a uniform magnetic field that is directed into the paper.As the circuit moves, a 4.0-A current flows through a 6.0- $\Omega$ resistor. -Which one of the following statements concerning this situation is true?

A small power plant produces a voltage of 6.0 kV and 150 A.The voltage is stepped up to 240 kV by a transformer before it is transmitted to a substation.The resistance of the transmission line between the power plant and the substation is 75 $\Omega$ . -What is the current in the transmission line from the plant to the substation?

A conducting loop has an area of 0.065 m² and is positioned such that a uniform magnetic field is perpendicular to the plane of the loop.When the magnitude of the magnetic field decreases to 0.30 T in 0.087 s, the average induced emf in the loop is 1.2 V.What is the initial value of the magnetic field?

22-3 A single conducting loop with an area of 2.0 m² rotates in a uniform magnetic field so that the induced emf has a sinusoidal time dependence as shown. -The current in a solenoid is decreased to one-half of its original value.Which one of the following statements is true concerning the self-inductance of the solenoid?