Question 1

If R₁ < R₂ < R₃,and if these resistors are connected in series in a circuit, which one dissipates the greatest power? A) R₁ B) R₃ C) R₂ D) All are equal in power dissipation.

Accepted Answer

In a series circuit, the current is the same through all resistors. Power dissipated (P) is given by P = I²R. Since R₃ has the highest resistance, it dissipates the greatest power.

Question 2

Three resistors, each of different value, are used in a circuit with a power source supplying 12 volts. For which of the following resistor combinations is the total power supplied the greatest?
A) This cannot be found until it is known which resistor is in series with the parallel pair.
B) all three resistors in series
C) two of the resistors in parallel with the third resistor in series with the parallel pair
D) all three resistors in parallel

Accepted Answer

When resistors are connected in parallel, the total resistance decreases, leading to an increase in the total current drawn from the power source. Since power (P) is calculated as P = V^2 / R (where V is the voltage and R is the total resistance), a lower total resistance results in a higher power consumption. Therefore, with all three resistors in parallel, the circuit draws the most power from the 12-volt source.

Question 3

An 10.0-$\Omega$ resistor is dissipating 100 watts. What are the current through it and the difference of potential across it?
A) 31.6 A, 3.16 V
B) 10.0 A, 3.16 V
C) 3.16 A, 31.6 V
D) 3.16 A, 10.0 V

Accepted Answer

The power dissipated by a resistor is given by P = I^2 * R. Solving for I gives I = sqrt(P/R) = sqrt(100/10) = 3.16 A. The potential difference V = I * R = 3.16 * 10 = 31.6 V.

Question 4

Two resistors of values 6.0 and 12.0 $\Omega$ are connected in parallel. This combination in turn is hooked in series with a 4.0-$\Omega$resistor and a 24-V battery. What is the current in the battery?
A) 12 A
B) 3.0 A
C) 2.0 A
D) 6.0 A

Accepted Answer

The answer of Two resistors of values 6.0 and 12.0...

Question 5

Three resistors with values R₁, R₂, and R₃, respectively, are connected in parallel. Which of the following expresses the total resistance, R_T, of the three resistors when connected in parallel? A) R_T = (1/R₁ + 1/R₂ + 1/R₃) B) R_T= R₁ = R₂ = R₃ C) R_T = R₁ + R₂ + R₃ D) R_T = (1/R₁ + 1/R₂+ 1/R₃) ^- ¹

Accepted Answer

The total resistance of resistors in parallel is given by the reciprocal of the sum of the reciprocals of each individual resistance: 1/R_T = 1/R₁ + 1/R₂ + 1/R₃.

Question 6

Which two resistors are in parallel with each other? A) R₂ and R₃ B) R and R₁ C) R₂ and R₄ D) R and R₄

Accepted Answer

The answer of Which two resistors are in parallel with...

Question 7

When a 24.0-$\Omega$ resistor is connected across a 12.0-V battery, a current of 410 mA flows. What is the internal resistance of the battery?
A) 29.3$\Omega$
B) 0.9 $\Omega$
C) 5.3 $\Omega$
D) 0.02$\Omega$

Accepted Answer

The answer of When a 24.0-$\Omega$ resistor is connected across...

Question 8

Three resistors connected in parallel each carry currents labeled I₁, I₂, and I₃. Which of the following expresses the value of the total current I_T in the combined system? A) I_T = (1/I₁ + 1/I₂ + 1/I₃) B) I_T = I₁ = I₂ = I₃ C) I_T = I₁ + I₂ + I₃ D) I_T = (1/I₁ + 1/I₂ + 1/I₃) ^- ¹

Accepted Answer

In a parallel circuit, the total current is the sum of the individual currents through each resistor.

Question 9

Three resistors, each with resistance R₁, are in series in a circuit. They are replaced by one equivalent resistor, R. Comparing this resistor to the first resistor of the initial circuit, which of the following is true? A) The voltage across R equals the voltage across R₁. B) The current through R equals the current through R₁. C) The power given off by R equals the power given off by R₁. D) R is less than R₁.

Accepted Answer

The answer of Three resistors, each with resistance R₁, are...

Question 10

Which resistor is in series with resistor R? A) R₃ B) R₄ C) R₁ D) R₂

Accepted Answer

The answer of Which resistor is in series with resistor...

Question 11

Three resistors connected in series each carry currents labeled I₁, I₂, and I₃. Which of the following expresses the value of the total current I_T in the system made up of the three resistors in series? A) I_T = I₁ + I₂ + I₃ B) I_T = (1/I₁ + 1/I₂+ 1/I₃) ^- ¹ C) I_T = (1/I₁ + 1/I₂+ 1/I₃) D) I_T = I₁ = I₂ = I₃

Accepted Answer

In a series circuit, the current is the same through all components, so I_T = I₁ = I₂ = I₃.

Question 12

Three 3.0-$\Omega$ resistors are connected in parallel to a 12.0-V battery. What is the current in any one of the resistors?
A) 0.75 A
B) 12 A
C) 4.0 A
D) 1.3 A

Accepted Answer

The answer of Three 3.0-$\Omega$ resistors are connected in parallel...

Question 13

A solar panel measures 80 cm * 50 cm. In direct sunlight, the panel delivers 4.8 A at 15 V. If the intensity of sunlight is 1000 W/m², what is the efficiency of the solar panel in converting solar energy into electrical energy? A) 12% B) 24% C) 18% D) 6.0%

Accepted Answer

The answer of A solar panel measures 80 cm *...

Question 14

Two resistors of values 6.0 and 12.0 $\Omega$ are connected in parallel. This combination in turn is hooked in series with an 8.0-$\Omega$ resistor and a 24-V battery. What is the current in the 12-$\Omega$ resistor?
A) 1.3 A
B) 4.0 A
C) 12 A
D) 0.67 A

Accepted Answer

The equivalent resistance of the parallel resistors (6Ω and 12Ω) is 4Ω. The total resistance in series with the 8Ω resistor is 12Ω. The total current from the battery is 24V/12Ω = 2A. The current through the 12Ω resistor in parallel is 2A * (6Ω / (6Ω + 12Ω)) = 0.67A.

Question 15

Three resistors connected in parallel have individual values of 4.0, 6.0, and 10.0 $\Omega$, respectively. If this combination is connected in series with a 12-V battery and a 2.0-$\Omega$ resistor, what is the current in the 6.0-$\Omega$ resistor? 
A) 0.98 A
B) 16 A
C) 0.59 A
D) 11 A

Accepted Answer

The answer of Three resistors connected in parallel have individual...

Question 16

Kirchhoff's rules are the junction rule and the loop rule. Which of the following statements is true?
A) The junction rule is based on the conservation of charge, and the loop rule is based on the conservation of energy.
B) The junction rule is based on the conservation of energy, and the loop rule is based on the conservation of charge.
C) Both rules are based on the conservation of charge.
D) Both rules are based on the conservation of energy.

Accepted Answer

The junction rule is based on the conservation of charge, stating that the total current entering a junction equals the total current leaving. The loop rule is based on the conservation of energy, stating that the sum of the potential differences around any closed loop in a circuit must be zero.

Question 17

Three resistors connected in parallel have the individual voltages labeled $\Delta$V₁, $\Delta$V₂, and $\Delta$V₃, respectively. Which of the following expresses the total voltage $\Delta$V_T across the three resistors when connected in this manner? A) "$\Delta$V_T = (1/$\Delta$V₁ + 1/$\Delta$V₂ + 1/$\Delta$V₃)" B) "$\Delta$V_T = $\Delta$V₁+ $\Delta$V₂ + $\Delta$V₃" C) "$\Delta$V_T = (1/$\Delta$V₁ + 1/$\Delta$V₂ + 1/$\Delta$V₃) ^- ¹" D) "$\Delta$V_T = $\Delta$V₁ = $\Delta$V₂= $\Delta$V₃"

Accepted Answer

In a parallel circuit, the voltage across each resistor is the same as the total voltage across the circuit.

Question 18

When a 24.0-$\Omega$ resistor is connected across a 12.0-V battery, a current of 410 mA flows. What is the resulting terminal voltage of the battery?
A) 11.6 V
B) 9.8 V
C) 0.4 V
D) 12.0 V

Accepted Answer

The answer of When a 24.0-$\Omega$ resistor is connected across...

Question 19

Three resistors connected in series have individual voltages labeled $\Delta$V₁, $\Delta$V₂, and $\Delta$V₃, respectively. Which of the following expresses the value of the total voltage $\Delta$V_T taken over the three resistors together? A) "$\Delta$V_T = (1/$\Delta$V₁ + 1/$\Delta$V₂ + 1/$\Delta$V₃)" B) "$\Delta$V_T = $\Delta$V₁ = $\Delta$V₂= $\Delta$V₃" C) "$\Delta$V_T = (1/$\Delta$V₁ + 1/$\Delta$V₂ + 1/$\Delta$V₃) ^- ¹" D) "$\Delta$V_T = $\Delta$V₁+ $\Delta$V₂ + $\Delta$V₃"

Accepted Answer

In a series circuit, the total voltage is the sum of the individual voltages across each component.

Question 20

Four 8.0-$\Omega$ resistors are connected in parallel. What is their equivalent resistance?
A) 4.0 $\Omega$
B) 0.50 $\Omega$
C) 2.0$\Omega$
D) 32 $\Omega$

Accepted Answer

The answer of Four 8.0-$\Omega$ resistors are connected in parallel....

Quiz 19: Electric Currents and Circuits

If R₁ < R₂ < R₃,and if these resistors are connected in series in a circuit, which one dissipates the greatest power?

Three resistors, each of different value, are used in a circuit with a power source supplying 12 volts. For which of the following resistor combinations is the total power supplied the greatest?

An 10.0- $\Omega$ resistor is dissipating 100 watts. What are the current through it and the difference of potential across it?

Two resistors of values 6.0 and 12.0 $\Omega$ are connected in parallel. This combination in turn is hooked in series with a 4.0- $\Omega$ resistor and a 24-V battery. What is the current in the battery?

Three resistors with values R₁, R₂, and R₃, respectively, are connected in parallel. Which of the following expresses the total resistance, R_T, of the three resistors when connected in parallel?

Which two resistors are in parallel with each other?

When a 24.0- $\Omega$ resistor is connected across a 12.0-V battery, a current of 410 mA flows. What is the internal resistance of the battery?

Three resistors connected in parallel each carry currents labeled I₁, I₂, and I₃. Which of the following expresses the value of the total current I_T in the combined system?

Three resistors, each with resistance R₁, are in series in a circuit. They are replaced by one equivalent resistor, R. Comparing this resistor to the first resistor of the initial circuit, which of the following is true?

Which resistor is in series with resistor R?

Three resistors connected in series each carry currents labeled I₁, I₂, and I₃. Which of the following expresses the value of the total current I_T in the system made up of the three resistors in series?

Three 3.0- $\Omega$ resistors are connected in parallel to a 12.0-V battery. What is the current in any one of the resistors?

A solar panel measures 80 cm * 50 cm. In direct sunlight, the panel delivers 4.8 A at 15 V. If the intensity of sunlight is 1000 W/m², what is the efficiency of the solar panel in converting solar energy into electrical energy?

Two resistors of values 6.0 and 12.0 $\Omega$ are connected in parallel. This combination in turn is hooked in series with an 8.0- $\Omega$ resistor and a 24-V battery. What is the current in the 12- $\Omega$ resistor?

Kirchhoff's rules are the junction rule and the loop rule. Which of the following statements is true?

Three resistors connected in parallel have the individual voltages labeled $\Delta$ V₁, $\Delta$ V₂, and $\Delta$ V₃, respectively. Which of the following expresses the total voltage $\Delta$ V_T across the three resistors when connected in this manner?

When a 24.0- $\Omega$ resistor is connected across a 12.0-V battery, a current of 410 mA flows. What is the resulting terminal voltage of the battery?

Three resistors connected in series have individual voltages labeled $\Delta$ V₁, $\Delta$ V₂, and $\Delta$ V₃, respectively. Which of the following expresses the value of the total voltage $\Delta$ V_T taken over the three resistors together?

Four 8.0- $\Omega$ resistors are connected in parallel. What is their equivalent resistance?

Quiz 19: Electric Currents and Circuits

If R1 < R2 < R3, and if these resistors are connected in series in a circuit, which one dissipates the greatest power?

Three resistors, each of different value, are used in a circuit with a power source supplying 12 volts. For which of the following resistor combinations is the total power supplied the greatest?

An 10.0- Ω\OmegaΩ resistor is dissipating 100 watts. What are the current through it and the difference of potential across it?

Two resistors of values 6.0 and 12.0 Ω\OmegaΩ are connected in parallel. This combination in turn is hooked in series with a 4.0- Ω\OmegaΩ resistor and a 24-V battery. What is the current in the battery?

Three resistors with values R1, R2, and R3, respectively, are connected in parallel. Which of the following expresses the total resistance, RT, of the three resistors when connected in parallel?

Which two resistors are in parallel with each other?

When a 24.0- Ω\OmegaΩ resistor is connected across a 12.0-V battery, a current of 410 mA flows. What is the internal resistance of the battery?

Three resistors connected in parallel each carry currents labeled I1, I2, and I3. Which of the following expresses the value of the total current IT in the combined system?

Three resistors, each with resistance R1, are in series in a circuit. They are replaced by one equivalent resistor, R. Comparing this resistor to the first resistor of the initial circuit, which of the following is true?

Which resistor is in series with resistor R?

Three resistors connected in series each carry currents labeled I1, I2, and I3. Which of the following expresses the value of the total current IT in the system made up of the three resistors in series?

Three 3.0- Ω\OmegaΩ resistors are connected in parallel to a 12.0-V battery. What is the current in any one of the resistors?

A solar panel measures 80 cm * 50 cm. In direct sunlight, the panel delivers 4.8 A at 15 V. If the intensity of sunlight is 1000 W/m2, what is the efficiency of the solar panel in converting solar energy into electrical energy?

Two resistors of values 6.0 and 12.0 Ω\OmegaΩ are connected in parallel. This combination in turn is hooked in series with an 8.0- Ω\OmegaΩ resistor and a 24-V battery. What is the current in the 12- Ω\OmegaΩ resistor?

Three resistors connected in parallel have individual values of 4.0, 6.0, and 10.0 Ω\OmegaΩ , respectively. If this combination is connected in series with a 12-V battery and a 2.0- Ω\OmegaΩ resistor, what is the current in the 6.0- Ω\OmegaΩ resistor?