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Exam 30: Electromagnetic Induction

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Question 21

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A charged capacitor is connected to an ideal inductor to form an LC circuit with a frequency of oscillation f = 1.6 Hz.At time t = 0 the capacitor is fully charged.At a given instant later the charge on the capacitor is measured to be 3.0 μC and the current in the circuit is equal to 75 μA.What is the maximum charge of the capacitor?

A) 6.0 µC
B) 10 µC
C) 8.0 µC
D) 2.0 µC
E) 4.0 µC

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Question 22

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The primary coil of a 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?

A) 100 V
B) 30 V
C) 70 V
D) 480 V
E) 400 V

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Question 23

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The coil in a 60-Hz ac generator has 125 turns,each having an area of 3.0 × 10^-2 m² and is rotated in a uniform 0.12-T magnetic field.What is the peak output voltage of this generator?

At what rate would the current in a 100-mH inductor have to change to induce an emf of 1000 V in the inductor?

In the figure,a straight wire carries a steady current I perpendicular to the plane of the page.A bar is in contact with a pair of circular rails,and rotates about the straight wire.The direction of the induced current through the resistor R is

As shown in the figure,a wire and a 10-Ω resistor are used to form a circuit in the shape of a square,20 cm by 20 cm.A uniform but nonsteady magnetic field is directed into the plane of the circuit.The magnitude of the magnetic field is decreased from 1.50 T to 0.50 T in a time interval of 63 ms.The average induced current and its direction through the resistor,in this time interval,are closest to

A closed,circular loop has a counter-clockwise current flowing through it as viewed by a person on the right,as shown in the figure.If a second closed circular loop with the same radius approaches this loop with constant velocity along a common axis as shown,in what direction will a current flow in the approaching loop as viewed by the person on the right?

A charged capacitor is connected to an ideal inductor.At time t = 0,the charge on the capacitor is equal to 6.00 μC.At time t = 2.00 ms the charge on the capacitor is zero for the first time.What is the amplitude of the current at that same instant?

In the figure,two solenoids are approaching each other with speed v as shown.The induced current through the resistor R is

The long straight wire in the figure carries a current I that is decreasing with time at a constant rate.The circular loops A,B,and C all lie in a plane containing the wire.The induced emf in each of the loops A,B,and C is such that

In a transformer,how many turns are necessary in a 110-V primary if the 24-V secondary has 100 turns?

Consider the circuit shown in the figure.The battery has emf ε = 25 volts and negligible internal resistance.The inductance is and the resistances are R₁ = 12 Ω and R₂ = 9.0 Ω.Initially the switch S is open and no currents flow.Then the switch is closed. (a)What is the current in the resistor R₁ just after the switch is closed? (b)After leaving the switch closed for a very long time,it is opened again.Just after it is opened,what is the current in R₁?

A series LR circuit contains an emf source of having no internal resistance,a resistor,a inductor having no appreciable resistance,and a switch.If the emf across the inductor is of its maximum value after the switch is closed,what is the resistance of the resistor?

A circular loop of radius 0.10 m is rotating in a uniform external magnetic field of 0.20 T.Find the magnetic flux through the loop due to the external field when the plane of the loop and the magnetic field vector are (a)parallel. (b)perpendicular. (c)at an angle of 30° with each other.

A series circuit consists of a 0.55-H inductor with internal resistance of 8.0 Ω connected in series with a 4.0-Ω resistor,an open switch,and an ideal 12-V battery. (a)When the switch is closed,what is the initial current through the 4.0-Ω resistor? (b)What is the current through the 4.0-Ω resistor a very long time after the switch is closed?

A closed loop conductor that forms a circle with a radius of is located in a uniform but changing magnetic field.If the maximum emf induced in the loop is what is the maximum rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies?

A ten-loop coil having an area of 0.23 m² and a very large resistance is in a 0.047-T uniform magnetic field oriented so that the maximum flux goes through the coil.The coil is then rotated so that the flux through it goes to zero in 0.34 s.What is the magnitude of the average emf induced in the coil during the 0.34 s?

For a long ideal solenoid having a circular cross-section,the magnetic field strength within the solenoid is given by the equation B(t) = 5.0t T,where t is time in seconds.If the induced electric field outside the solenoid is 1.1 V/m at a distance of 2.0 m from the axis of the solenoid,find the radius of the solenoid.

What is the self-inductance of a solenoid 30.0 cm long having 100 turns of wire and a cross-sectional area of 1.00 × 10^-4 m²? (μ₀ = 4π × 10^-7 T ∙ m/A)

A solenoid of length 0.700 m having a circular cross-section of radius 5.00 cm stores 6.00 µJ of energy when a 0.400-A current runs through it.What is the winding density of the solenoid?