# Chapter 31

B. T/4
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 current is a maximum is:
C. T/2
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:
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C. T/2
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 voltage across the inductor is a maximum is:
B. T/4
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 magnetic field of the inductor is a maximum is:
C. T/2
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:
B. 5V
A capacitor in an LC oscillator has a maximum potential difference of 15V and a maximum energy of 360 μJ. At a certain instant the energy in the capacitor is 40 μJ. At that instant what is the potential difference across the capacitor?
D. 2L and 2C
Which of the following has the greatest effect in decreasing the oscillation frequency of an LC circuit? Using instead:
C. 1 μF
We desire to make an LC circuit that oscillates at 100 Hz using an inductance of 2.5H. We also need a capacitance of:
D. 2500 Hz
An LC circuit consists of a 1-μF capacitor and a 4mH inductor. Its oscillation frequency is approximately:
C. 25 μH
An LC circuit has an oscillation frequency of 105Hz. If C = 0.1 μF, then L must be about:
A. 318 Hz
In the circuit shown, switch S is first pushed up to charge the capacitor. When S is then pushed down, the current in the circuit will oscillate at a frequency of:
B. (C1)/4
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:
C. f
An LC series circuit with an inductance L and a capacitance C has an oscillation frequency f. Two inductors, each with inductance L, and two capacitors, each with capacitance C, are all wired in series and the circuit is completed. The oscillation frequency is:
D. 1/C
The electrical analog of a spring constant k is:
ans A (coil-cap-cap all series)
Consider the mechanical system consisting of two springs and a block, as shown. Which one of the five electrical circuits (A, B, C, D, E) is the analog of the mechanical system?
C. 0.025C
A 150-g block on the end of a spring with a spring constant of 35N/m is pulled aside 25 cm and released from rest. In the electrical analog the initial charge on the capacitor is:
A. 0.38A
A 150-g block on the end of a spring with a spring constant of 35N/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:
B. 5V
A capacitor in an LC oscillator has a maximum potential difference of 15V and a maximum energy of 360 μJ. At a certain instant the energy in the capacitor is 40 μJ. At that instant what is the potential difference across the capacitor?
C. 10V
A capacitor in an LC oscillator has a maximum potential difference of 15V and a maximum energy of 360 μJ. At a certain instant the energy in the capacitor is 40 μJ. At that instant what is the emf induced in the inductor?
C. U
In an oscillating LC circuit, the total stored energy is U. The maximum energy stored in the capacitor during one cycle is:
E. 3U/4
In an oscillating LC circuit, the total stored energy is U and the maximum charge on the capacitor is Q. When the charge on the capacitor is Q/2, the energy stored in the inductor is:
C. 12 μC
The total energy in an LC circuit is 5.0 × 10^−6 J. If C = 15μF the charge on the capacitor is:
C. 20mA
The total energy in an LC circuit is 5.0 × 10^−6 J. If L = 25mH the maximum current is:
D. 15mA
At time t = 0 the charge on the 50-μF capacitor in an LC circuit is 15 μC and there is no current. If the inductance is 20mH the maximum current is:
D. 1.4 × 10^−6 J
An LC circuit has an inductance of 20mH and a capacitance of 5.0 μF. At time t = 0 the charge on the capacitor is 3.0 μC and the current is 7.0mA. The total energy is:
D. 17 μC
An LC circuit has a capacitance of 30 μF and an inductance of 15mH. At time t = 0 the charge on the capacitor is 10 μC and the current is 20mA. The maximum charge on the capacitor is:
E. 170A/s
An LC circuit has an inductance of 15mH and a capacitance of 10 μF. At one instant the charge on the capacitor is 25 μC. At that instant the current is changing at the rate of:
C. 25mA
An LC circuit has a capacitance of 30 μF and an inductance of 15mH. At time t = 0 the charge on the capacitor is 10 μC and the current is 20mA. The maximum current is:
A. Circuit 1 has a smaller resistance and a larger inductance
The graphs show the total electromagnetic energy in two RLC circuits as functions of time. Which of the following statements might be true?
C. 2.1 × 10^−4 A
An RLC circuit has a resistance of 200 Ω and an inductance of 15mH. Its oscillation frequency is 7000 Hz. At time t = 0 the current is 25mA and there is no charge on the capacitor. After five complete cycles the current is:

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