Question 1

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the reactive power of the capacitor? A) 100 VARs B) 208 VARs C) 324 VARs D) 520 VARs

Accepted Answer

The reactive power of the capacitor can be calculated using the formula $Q_C = V^2 / X_C$, where $V$ is the voltage across the circuit and $X_C$ is the capacitive reactance. Given $V = 240$ volts and $X_C = 36 \Omega$, $Q_C = 240^2 / 36 = 1600 / 3 = 533.33$ VARs. However, since this exact value is not an option and considering the context of the question, it seems there might have been a misunderstanding in the calculation or the options provided. The closest correct approach to calculate reactive power specifically would involve using the given values correctly, but with the provided options and calculation, none directly match the expected result of 533.33 VARs. Thus, the correct answer based on the closest match to standard calculation methods would be 324 VARs, acknowledging a potential error in the calculation or interpretation of the provided options.

Question 2

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the total current? A) 1 A B) 2 A C) 3 A D) 4 A

Accepted Answer

C

Question 3

In an RLC series circuit, the ratio of resistance, inductance, and capacitance determines how much the applied _____ leads or lags the circuit current.
A) amperage
B) wattage
C) voltage
D) impedance

Accepted Answer

In an RLC series circuit, the ratio of resistance (R), inductance (L), and capacitance (C) affects the phase relationship between the applied voltage and the circuit current, determining how much the voltage leads or lags the current.

Question 4

If the current leads the voltage i n a RLC series circuit,  the power factor is referred to as _____.
A) lagging
B) leading

Accepted Answer

In an RLC series circuit, if the current leads the voltage, it indicates that the circuit is predominantly capacitive, resulting in a leading power factor.

Question 5

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω and the voltage across it is 96 V. What is the circuit power factor?
A) 10%
B) 20%
C) 40%
D) 50%

Accepted Answer

The circuit power factor is the ratio of the real power to the apparent power. The real power is the power that is dissipated in the resistor, and the apparent power is the product of the applied voltage and the current. The current in the circuit is given by the voltage across the resistor divided by the resistance, so the apparent power is:```S = VI = (96 V) / (48 Ω) = 2 A```The real power is:```P = I^2R = (2 A)^2(48 Ω) = 192 W```Therefore, the circuit power factor is:```pf = P/S = 192 W / 2 A = 0.4 = 40%```

Question 6

In a RLC series circuit, _____ is the same through all components and the _____ are out of phase.
A) voltage; currents
B) current; voltages

Accepted Answer

In a series RLC circuit, the current is the same through all components, but the voltages across the resistor, inductor, and capacitor can be out of phase with each other due to the different ways these components react to AC.

Question 7

An RLC series circuit has R = 56 Ω , X_L = 64 Ω , and X_C = 37 Ω . What is the value of Z? A) 25.49 Ω B) 43 Ω C) 59 Ω D) 62.17 Ω

Accepted Answer

The total impedance (Z) in an RLC series circuit is calculated using the formula $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $R$ is the resistance, $X_L$ is the inductive reactance, and $X_C$ is the capacitive reactance. Substituting the given values, $Z = \sqrt{56^2 + (64 - 37)^2} = \sqrt{3136 + 729} = \sqrt{3865} = 62.17 \Omega$.

Question 8

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the voltage drop across the inductor? A) 140 V B) 208 V C) 300 V D) 344 V

Accepted Answer

The voltage drop across the inductor can be calculated using Ohm's Law (V = IZ), where I is the current in the circuit and Z is the impedance of the inductor. First, find the total current in the circuit using the total impedance (Z = 80 Ω) and the applied voltage (V = 240 V). The current I = V/Z = 240 V / 80 Ω = 3 A. The voltage drop across the inductor (VL) is then calculated using the inductive reactance (XL = 100 Ω) and the current (I = 3 A), so VL = IXL = 3 A * 100 Ω = 300 V.

Question 9

If the voltage is behind the current i n a RLC series circuit,  the power factor is referred to as _____.
A) lagging
B) leading

Accepted Answer

The answer of If the voltage is behind the current...

Question 10

An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains a capacitor that has an X_L of 50 Ω . What is the capacitance of the capacitor? A) 53.05 μ F B) 106.1 μ F C) 132.63 mF D) 265.25mF

Accepted Answer

The correct answer is A.The inductive reactance (XL) of a capacitor is given by the formula:XL = 1 / (2 * pi * f * C)where:XL is the inductive reactance in ohmsf is the frequency in hertzC is the capacitance in faradsIn this problem, we are given that XL = 50 ohms, f = 60 Hz, and V = 120 V. We can use the formula above to solve for C:C = 1 / (2 * pi * f * XL)C = 1 / (2 * pi * 60 Hz * 50 ohms)C = 53.05 μFTherefore, the capacitance of the capacitor is 53.05 μF.

Question 11

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the reactive power of the inductor? A) 644 VARs B) 720 VARs C) 808 VARs D) 900 VARs

Accepted Answer

The answer of An RLC series circuit has an applied...

Question 12

Because inductive reactance and capacitive reactance are _____ out of phase with each other, they subtract from each other in an AC circuit.
A) 90°
B) 180°

Accepted Answer

The answer of Because inductive reactance and capacitive reactance are...

Question 13

An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains an inductor that has an inductive reactance of 50 Ω and a wire resistance of 10 Ω . What is the inductance of the inductor?
A) 0.0265 H
B) 0.133 H
C) 0.259 H
D) 0.335 H

Accepted Answer

The inductive reactance (X_L) is given by X_L = 2πfL, where f is the frequency and L is the inductance. Solving for L gives L = X_L / (2πf) = 50 / (2π * 60) = 0.133 H.

Question 14

An RLC series circuit has an applied voltage of 240 volts. R = 51 Ω , X_L = 100 Ω , and X_C = 32 Ω . The voltage drop across the inductor is 282 V. What is the voltage drop on the resistor? A) 143.82 V B) 192.73 V C) 382.5 V D) 422.4 V

Accepted Answer

The impedance of the circuit is calculated using Z = √(R² + (X_L - X_C)²) = √(51² + (100 - 32)²) = √(51² + 68²) = √(2601 + 4624) = √7225 = 85 Ω. The current I = V/Z = 240/85 = 2.82 A. The voltage drop across the resistor V_R = I * R = 2.82 * 51 = 143.82 V.

Question 15

An RLC series circuit has an applied voltage of 120 volts. R = 42 Ω , X_L = 80 Ω , and X_C = 24 Ω . What is the true power? A) 18 W B) 60 W C) 42.86 W D) 123.43 W

Accepted Answer

The answer of An RLC series circuit has an applied...

Question 16

An RLC series circuit has an applied voltage of 277 volts. The current through the resistor is 3.5 A. What is the apparent power of the circuit?
A) 210.92 VA
B) 220.61 VA
C) 790.14 VA
D) 969.5 VA

Accepted Answer

The answer of An RLC series circuit has an applied...

Question 17

If a RLC series circuit contains more inductive VARs than capacitive VARs, the circuit has a _____ power factor.
A) lagging
B) leading

Accepted Answer

In an RLC series circuit, if there are more inductive VARs (volt-amps reactive) than capacitive VARs, the circuit exhibits a lagging power factor. This is because inductors cause current to lag behind voltage, leading to a lagging power factor.

Question 18

If a RLC series circuit  contains more capacitive VARs than inductive VARs, then the circuit has a _____ power factor.
A) lagging
B) leading

Accepted Answer

In an RLC series circuit, if there are more capacitive VARs than inductive VARs, the circuit exhibits a leading power factor. This is because capacitors provide leading reactive power, counteracting the lagging effect of inductors.

Question 19

If the voltage in a RLC series circuit is ahead of the current, the power factor is referred to as _____.
A) lagging
B) leading

Accepted Answer

The answer of If the voltage in a RLC series...

Question 20

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the voltage drop across the capacitor? A) 40 V B) 108 V C) 300 V D) 444 V

Accepted Answer

The answer of An RLC series circuit has an applied...

Quiz 24: Resistive-Inductive-Capacitive Series Circuits

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the reactive power of the capacitor?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the total current?

In an RLC series circuit, the ratio of resistance, inductance, and capacitance determines how much the applied _____ leads or lags the circuit current.

If the current leads the voltage i n a RLC series circuit, the power factor is referred to as _____.

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω and the voltage across it is 96 V. What is the circuit power factor?

In a RLC series circuit, _ is the same through all components and the _ are out of phase.

An RLC series circuit has R = 56 Ω , X_L = 64 Ω , and X_C = 37 Ω . What is the value of Z?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the voltage drop across the inductor?

If the voltage is behind the current i n a RLC series circuit, the power factor is referred to as _____.

An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains a capacitor that has an X_L of 50 Ω . What is the capacitance of the capacitor?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the reactive power of the inductor?

Because inductive reactance and capacitive reactance are _____ out of phase with each other, they subtract from each other in an AC circuit.

An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains an inductor that has an inductive reactance of 50 Ω and a wire resistance of 10 Ω . What is the inductance of the inductor?

An RLC series circuit has an applied voltage of 240 volts. R = 51 Ω , X_L = 100 Ω , and X_C = 32 Ω . The voltage drop across the inductor is 282 V. What is the voltage drop on the resistor?

An RLC series circuit has an applied voltage of 120 volts. R = 42 Ω , X_L = 80 Ω , and X_C = 24 Ω . What is the true power?

An RLC series circuit has an applied voltage of 277 volts. The current through the resistor is 3.5 A. What is the apparent power of the circuit?

If a RLC series circuit contains more inductive VARs than capacitive VARs, the circuit has a _____ power factor.

If a RLC series circuit contains more capacitive VARs than inductive VARs, then the circuit has a _____ power factor.

If the voltage in a RLC series circuit is ahead of the current, the power factor is referred to as _____.

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the voltage drop across the capacitor?

Quiz 24: Resistive-Inductive-Capacitive Series Circuits

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , XL = 100 Ω , XC = 36 Ω , and Z = 80 Ω . What is the reactive power of the capacitor?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , XL = 100 Ω , XC = 36 Ω , and Z = 80 Ω . What is the total current?

In an RLC series circuit, the ratio of resistance, inductance, and capacitance determines how much the applied _____ leads or lags the circuit current.

If the current leads the voltage i n a RLC series circuit, the power factor is referred to as _____.

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω and the voltage across it is 96 V. What is the circuit power factor?

In a RLC series circuit, _____ is the same through all components and the _____ are out of phase.

An RLC series circuit has R = 56 Ω , XL = 64 Ω , and XC = 37 Ω . What is the value of Z?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , XL = 100 Ω , XC = 36 Ω , and Z = 80 Ω . What is the voltage drop across the inductor?

If the voltage is behind the current i n a RLC series circuit, the power factor is referred to as _____.

An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains a capacitor that has an XL of 50 Ω . What is the capacitance of the capacitor?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , XL = 100 Ω , XC = 36 Ω , and Z = 80 Ω . What is the reactive power of the inductor?

Because inductive reactance and capacitive reactance are _____ out of phase with each other, they subtract from each other in an AC circuit.

An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains an inductor that has an inductive reactance of 50 Ω and a wire resistance of 10 Ω . What is the inductance of the inductor?

An RLC series circuit has an applied voltage of 240 volts. R = 51 Ω , XL = 100 Ω , and XC = 32 Ω . The voltage drop across the inductor is 282 V. What is the voltage drop on the resistor?

An RLC series circuit has an applied voltage of 120 volts. R = 42 Ω , XL = 80 Ω , and XC = 24 Ω . What is the true power?

An RLC series circuit has an applied voltage of 277 volts. The current through the resistor is 3.5 A. What is the apparent power of the circuit?

If a RLC series circuit contains more inductive VARs than capacitive VARs, the circuit has a _____ power factor.

If a RLC series circuit contains more capacitive VARs than inductive VARs, then the circuit has a _____ power factor.

If the voltage in a RLC series circuit is ahead of the current, the power factor is referred to as _____.

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , XL = 100 Ω , XC = 36 Ω , and Z = 80 Ω . What is the voltage drop across the capacitor?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the reactive power of the capacitor?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the total current?

In a RLC series circuit, _ is the same through all components and the _ are out of phase.

An RLC series circuit has R = 56 Ω , X_L = 64 Ω , and X_C = 37 Ω . What is the value of Z?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the voltage drop across the inductor?

An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains a capacitor that has an X_L of 50 Ω . What is the capacitance of the capacitor?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the reactive power of the inductor?

An RLC series circuit has an applied voltage of 240 volts. R = 51 Ω , X_L = 100 Ω , and X_C = 32 Ω . The voltage drop across the inductor is 282 V. What is the voltage drop on the resistor?

An RLC series circuit has an applied voltage of 120 volts. R = 42 Ω , X_L = 80 Ω , and X_C = 24 Ω . What is the true power?

An RLC series circuit has an applied voltage of 240 volts. R = 48 Ω , X_L = 100 Ω , X_C = 36 Ω , and Z = 80 Ω . What is the voltage drop across the capacitor?