Question 1

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are V_rms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 20 Ω. Under these conditions, the current

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Question 2

You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The approximate resonant frequency of your circuit is

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The resonant frequency of an RLC series circuit can be calculated as:
fr = 1/2π√(LC)
where L is the inductance, C is the capacitance, and π is approximately 3.14.

Plugging in the given values:
L = 800 mH = 0.8 H
C = 10.0 μF = 10^-5 F
fr = 1/2π√(0.8 H × 10^-5 F)
fr ≈ 56 Hz

Therefore, the resonant frequency of the given circuit is approximately 56 Hz (option C).

Question 3

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. When you connect a voltmeter across the capacitor in this circuit, the meter reads approximately

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The voltmeter reads the voltage across the capacitor, which is determined by the capacitive reactance and the current in the circuit. The capacitive reactance is calculated using the formula $X_C = \frac{1}{2\pi f C}$, and the current is determined by the total impedance of the circuit. The voltage across the capacitor is then found using $V_C = I \times X_C$, which results in approximately 83.6 V.

Question 4

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. When you connect a voltmeter across the resistor in this circuit, the meter reads approximately

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Question 5

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The resonant frequency of your circuit is approximately

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The resonant frequency of an RLC circuit is given by the formula:
$f_{res} = \frac{1}{2\pi\sqrt{LC}}$
Plugging in the values given:
$f_{res} = \frac{1}{2\pi\sqrt{(1.20 	imes 10^{-3})(1.80 	imes 10^{-6})}}$
$f_{res} \approx 3.42 	ext{ kHz}$

Question 6

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are V_rms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under steady-state conditions, the rms potential difference across the capacitor will be

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The impedance of the circuit can be calculated using the formula for the impedance of an RLC circuit. The capacitive reactance is much larger than the resistive component, leading to a higher voltage across the capacitor.

Question 7

As you increase the frequency in this circuit from zero, the impedance

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Question 8

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The maximum current in your circuit is approximately

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Question 9

You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. In this circuit,

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Question 10

You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The impedance of your circuit is approximately

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Question 11

The SI units of inductance times capacitance are

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The product of inductance (measured in henrys) and capacitance (measured in farads) results in units of time squared (seconds squared). This is because the unit of capacitance (C/V) can be simplified to s/ohm and when multiplied by the unit of inductance (V*s/A), the result is (s^2 * A^2)/(s^2) which simplifies to just A^2.

Question 12

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The approximate impedance of your circuit is

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The impedance of the circuit can be calculated using the formula:
Z = √(R^2 + (XL - XC)^2)
where R = 250 Ω is the resistance, XL = ωL = 2πfL = 452.39 Ω is the inductive reactance, XC = 1/(ωC) = 88.24 Ω is the capacitive reactance, and f = 60 Hz is the frequency.
Plugging in the values, we get:
Z = √(250^2 + (452.39 - 88.24)^2)
Z ≈ 1.49 kΩ
Therefore, the closest option is (A) 1.49 kΩ.

Question 13

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. When you connect a voltmeter across the inductor in this circuit, the meter reads approximately

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The inductive reactance is 144 Ω, and the capacitive reactance is 72.5 Ω. The impedance of the circuit is 250 Ω, so the current is 0.48 A. The voltage across the inductor is 0.48 A * 144 Ω = 69.1 V.

Question 14

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The rms current in your circuit is approximately

Accepted Answer

The impedance of the circuit is calculated using the formula Z = √(R² + (XL - XC)²), where XL = 2πfL and XC = 1/(2πfC). Substituting the given values, we find the impedance and then use Ohm's law (Irms = Vrms/Z) to find the rms current. The correct answer is approximately 56.9 mA.

Question 15

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are V_rms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under these conditions, the current

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Question 16

A series RLC circuit with L = 5 H, C = 10 μF, and R = 10 Ω is driven by a generator with a maximum EMF of 100 V and a variable frequency. The resonant frequency f₀ of this circuit is

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The resonant frequency of a series RLC circuit is given by:f₀ = 1 / (2π√LC)Substituting the given values:f₀ = 1 / (2π√(5 H)(10 μF))f₀ ≈ 22.5 Hz

Question 17

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are Vrms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under steady-state conditions, the rms potential difference across the inductor will be

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Quiz 21: Alternating-Current Circuits

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are Vrms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 20 Ω. Under these conditions, the current

You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The approximate resonant frequency of your circuit is

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. When you connect a voltmeter across the capacitor in this circuit, the meter reads approximately

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. When you connect a voltmeter across the resistor in this circuit, the meter reads approximately

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The resonant frequency of your circuit is approximately

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are Vrms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under steady-state conditions, the rms potential difference across the capacitor will be

As you increase the frequency in this circuit from zero, the impedance

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The maximum current in your circuit is approximately

You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. In this circuit,

You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The impedance of your circuit is approximately

The SI units of inductance times capacitance are

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The approximate impedance of your circuit is

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. When you connect a voltmeter across the inductor in this circuit, the meter reads approximately

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The rms current in your circuit is approximately

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are Vrms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under these conditions, the current

A series RLC circuit with L = 5 H, C = 10 μF, and R = 10 Ω is driven by a generator with a maximum EMF of 100 V and a variable frequency. The resonant frequency f0 of this circuit is

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are Vrms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under steady-state conditions, the rms potential difference across the inductor will be

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are V_rms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 20 Ω. Under these conditions, the current

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are V_rms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under steady-state conditions, the rms potential difference across the capacitor will be

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are V_rms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under these conditions, the current

A series RLC circuit with L = 5 H, C = 10 μF, and R = 10 Ω is driven by a generator with a maximum EMF of 100 V and a variable frequency. The resonant frequency f₀ of this circuit is