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An ac generator producing 10 V (rms) at 200 rad/s is connected in series with a 50- Ω\Omega resistor, a 400-mH inductor, and a 200- μ\mu F capacitor. The rms current is:


A) 0.125 A
B) 0.135 A
C) 0.18 A
D) 0.20 A
E) 0.40 A

F) All of the above
G) B) and C)

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A charged capacitor and an inductor are connected in series. At time t = 0 the current is zero, but the capacitor is charged. If T is the period of the resulting oscillations, the next time, after t = 0 that the energy stored in the electric field of the capacitor is a maximum is:


A) T/4
B) T/2
C) T
D) 3T/2
E) 2T

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

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An LC circuit has an inductance of 20 mH and a capacitance of 5.0 μ\mu F. At time t = 0 the charge on the capacitor is 3.0 μ\mu C and the current is 7.0 mA. The total energy is:


A) 4.1 * 10-7 J
B) 4.9 *10-7 J
C) 9.0 * 10-7 J
D) 1.4 *10-6 J
E) 2.8 * 10-6 J

F) C) and E)
G) All of the above

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We desire to make an LC circuit that oscillates at 100 Hz using an inductance of 2.5 H. We also need a capacitance of:


A) 1 F
B) 1 mF
C) 1 μ\mu F
D) 1 nF
E) 1 pF

F) C) and D)
G) B) and C)

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The angular frequency of a certain RLC series circuit is ω \omega 0. A source of sinusoidal emf, with angular frequency ω \omega , is inserted into the circuit and ω \omega is varied while the amplitude of the source is held constant. For which of the following values of ω \omega is the amplitude of the current oscillations the greatest?


A) ω \omega 0/5
B) ω \omega 0/2
C) ω \omega 0
D) 2 ω \omega 0
E) None of them (they all produce the same current amplitude)

F) A) and E)
G) B) and D)

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An ac generator producing 10 V (rms) at 200 rad/s is connected in series with a 50- Ω\Omega resistor, a 400-mH inductor, and a 200- μ\mu F capacitor. The rms voltage across the capacitor is:


A) 2.5 V
B) 3.4 V
C) 6.7 V
D) 10.0 V
E) 10.8 V

F) A) and B)
G) A) and C)

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An LC series circuit with an inductance L and a capacitance C has an oscillation frequency f. If we now take two of those inductors, each with inductance L, and two of the capacitors, each with capacitance C, and wire them all in series to make a new circuit, its oscillation frequency will be:


A) f/4
B) f/2
C) f
D) 2f
E) 4f

F) C) and D)
G) D) and E)

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An RLC series circuit has R = 4 Ω\Omega , XC = 3 Ω\Omega , and XL = 6 Ω\Omega . The impedance of this circuit is:


A) 5 Ω\Omega
B) 7 Ω\Omega
C) 7.8 Ω\Omega
D) 9.8 Ω\Omega
E) 13 Ω\Omega

F) A) and B)
G) B) and E)

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A step-down transformer is used to:


A) increase the power
B) decrease the power
C) increase the voltage
D) decrease the voltage
E) change ac to dc

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

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The electrical analog of a spring constant k is:


A) L
B) 1/L
C) C
D) 1/C
E) R

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

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In order to maximize the rate at which energy is supplied to a resistive load, the power factor of an RLC circuit should be as close as possible to:


A) 0
B) 0.5
C) 1
D) infinity
E) cannot tell without knowing R, L, C, and the driving frequency

F) B) and E)
G) A) and B)

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Iron, rather than copper, is used in the core of transformers because iron:


A) can withstand a higher temperature
B) has a greater resistivity
C) has a very high permeability
D) makes a good permanent magnet
E) insulates the primary from the secondary

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

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The reactance of a 35- μ\mu F capacitor connected to a 400-Hz generator is:


A) 0 Ω
B) 0.014 Ω
C) 0.088 Ω
D) 11 Ω
E) 71 Ω

F) A) and B)
G) A) and C)

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The primary of an ideal transformer has 100 turns and the secondary has 600 turns. Then:


A) the power in the primary circuit is less than that in the secondary circuit
B) the currents in the two circuits are the same
C) the voltages in the two circuits are the same
D) the primary current is six times the secondary current
E) the frequency in the secondary circuit is six times that in the primary circuit

F) B) and E)
G) A) and B)

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A 150-g block on the end of a spring with a spring constant of 35 N/m is pulled aside 25 cm and released from rest. In the electrical analog the maximum charge on the capacitor is 0.25 C. The maximum current in the LC circuit is:


A) 0.025 A
B) 0.12 A
C) 3.8 A
D) 5.3 A
E) 40 A

F) B) and C)
G) A) and D)

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An ac generator produces 10 V (rms) at 400 rad/s. It is connected to a series RL circuit (R = 17.3 Ω\Omega , L = 0.025 H) . The rms current is:


A) 0.50 A and leads the emf by 30 °\degree
B) 0.71 A and lags the emf by 30 °\degree
C) 1.4 A and lags the emf by 60 °\degree
D) 0.50 A and lags the emf by 30 °\degree
E) 0.58 A and leads the emf by 90 °\degree

F) None of the above
G) All of the above

Correct Answer

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An RLC series circuit, connected to a source , is at resonance. Then:


A) the voltage across R is zero
B) the voltage across R equals the applied voltage
C) the voltage across C is zero
D) the voltage across L equals the applied voltage
E) the applied voltage and current differ in phase by 90 °\degree

F) A) and B)
G) A) and E)

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Radio receivers are usually tuned by adjusting the capacitor of an LC circuit. If C = C1 for a frequency of 600 kHz, then for a frequency of 1200 kHz one must adjust C to:


A) C1/2
B) C1/4
C) 2C1
D) 4C1
E) Radio receivers are usually tuned by adjusting the capacitor of an LC circuit. If C = C<sub>1</sub> for a frequency of 600 kHz, then for a frequency of 1200 kHz one must adjust C to: A)  C<sub>1</sub>/2 B)  C<sub>1</sub>/4 C)  2C<sub>1</sub> D)  4C<sub>1</sub> E)

F) A) and C)
G) A) and B)

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An RLC circuit has a resistance of 200 Ω\Omega and an inductance of 15 mH. Its oscillation frequency is 7000 Hz. At time t = 0 the current is 25 mA and there is no charge on the capacitor. After five complete cycles the current is:


A) 0 A
B) 1.8 * 10-6 A
C) 2.1 * 10-4 A
D) 2.3 * 10-3 A
E) 2.5* 10-2 A

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

Correct Answer

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A charged capacitor and an inductor are connected in series. At time t = 0 the current is zero, but the capacitor is charged. If T is the period of the resulting oscillations, the next time, after t = 0 that the charge on the capacitor is a maximum is:


A) T/4
B) T/2
C) T
D) 3T/2
E) 2T

F) A) and B)
G) None of the above

Correct Answer

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