Question 1

Three resistors are connected in parallel. Two of the resistors have a value of 900 ohms and 1800 ohms. The total resistance of the circuit is 300 ohms. What is the value of the remaining resistor?
A) 150 ohms
B) 300 ohms
C) 400 ohms
D) 600 ohms

Accepted Answer

The formula for total resistance in parallel is 1/R_total = 1/R1 + 1/R2 + 1/R3. Plugging in the known values: 1/300 = 1/900 + 1/1800 + 1/R3. Solving for R3 gives 600 ohms.

Question 2

Three resistors are connected in parallel. Resistor R1 is producing 0.075 W of heat, R2 is producing 0.45 W of heat, and R3 is producing 0.225 W of heat. What is the total power output of the circuit?
A) 0.25 W
B) 0.50 W
C) 0.75 W
D) 1.0 W

Accepted Answer

The total power output of a circuit with resistors in parallel is the sum of the power dissipated by each resistor. Therefore, the total power is 0.075 W + 0.45 W + 0.225 W = 0.75 W.

Question 3

Before the invention of handheld calculators, the slide rule was often employed to help with the mathematical calculations in electrical work.

Accepted Answer

This is true. The slide rule was widely used in many fields, including electrical work, before the invention of handheld calculators.

Question 4

Once the voltage drop across each part of the circuit is known and the resistance is known, the current flow through each branch can be determined using ____ Law.
A) Seebeck's
B) Faraday's
C) Ohm's
D) Lenz's

Accepted Answer

Ohm's Law relates voltage, current, and resistance in a circuit. It states that the current flowing through a conductor is directly proportional to the voltage applied to the conductor and inversely proportional to the resistance of the conductor. Therefore, by knowing the voltage and resistance in each part of the circuit, we can calculate the current flowing through each branch using Ohm's Law.

Question 5

If a parallel circuit has two resistors, with values of 30 ohms and 60 ohms, what is the total resistance in ohms?
A) 20
B) 30
C) 60
D) 90

Accepted Answer

The total resistance $R_{total}$ in a parallel circuit is given by $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2}$. Substituting the given values, $\frac{1}{R_{total}} = \frac{1}{30} + \frac{1}{60} = \frac{2}{60} + \frac{1}{60} = \frac{3}{60}$, which simplifies to $\frac{1}{20}$. Therefore, $R_{total} = 20$ ohms.

Question 6

Most electrical circuits in homes are connected in parallel.

Accepted Answer

Most electrical circuits in homes are connected in parallel, which means that each device connected to the circuit has its own path to the power source. This allows multiple devices to be powered independently and at the same time.

Question 7

The reciprocal of any number is that number divided into ____.
A) zero
B) one
C) two
D) ten

Accepted Answer

The reciprocal of a number is that number divided into one. Therefore, the best choice for the blank is "one," making the answer choice B.

Question 8

If a parallel circuit has two resistors, R1 and R2, what is the total resistance?
A) 
B) 
C) 
D)

Accepted Answer

The answer of If a parallel circuit has two resistors,...

Question 9

In a parallel circuit, ____.
A) current adds
B) resistance adds
C) current multiplies
D) resistance multiplies

Accepted Answer

In a parallel circuit, current has multiple paths to flow through, so it adds up at each branch of the circuit. This is in contrast to a series circuit, where the current is the same at every point in the circuit. Resistance in a parallel circuit, on the other hand, is reduced because there are multiple paths for the current to flow, so it does not add up like it does in a series circuit.

Question 10

Parallel circuits are circuits that ____.
A) have more than one path for current flow
B) have only one path for current flow
C) are rarely used in residential wiring
D) do not have voltage drops

Accepted Answer

Parallel circuits have more than one path for current flow, allowing multiple devices to receive power independently without affecting each other. This is commonly used in residential and commercial wiring to power multiple lights or appliances in different locations. Because parallel circuits have multiple paths, each device will have the same voltage, but the current will be divided among the branches. This means that if one device fails, the others will still receive power.

Question 11

The total resistance of a parallel circuit is always ____.
A) equal to the resistance of the highest-value resistor
B) equal to the resistance of the lowest-value resistor
C) greater than the resistance of the highest-value resistor
D) less than the resistance of the lowest-value resistor

Accepted Answer

In a parallel circuit, the total resistance is always less than the resistance of the lowest-value resistor because the current is divided among multiple branches, resulting in a lower overall resistance.

Question 12

Four resistors having values of 10 ohms, 20 ohms, 25 ohms, and 100 ohms are connected in parallel. What is the total resistance in ohms?
A) 5
B) 10
C) 20
D) 50

Accepted Answer

The total resistance $R_{total}$ for resistors in parallel is given by $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4}$. Plugging in the given values, $\frac{1}{R_{total}} = \frac{1}{10} + \frac{1}{20} + \frac{1}{25} + \frac{1}{100}$, which simplifies to $\frac{1}{R_{total}} = 0.2$, so $R_{total} = 5$ ohms.

Question 13

The total power for a circuit can be found by taking the sum of the power used by each component.

Accepted Answer

This is true according to the principle of conservation of energy, which states that the total power supplied to a circuit must equal the total power used by the components in the circuit. Therefore, the total power for a circuit can be found by adding up the power used by each component.

Question 14

What is the reciprocal formula?
A) 
B) 
C) 
D)

Accepted Answer

The reciprocal formula is 1/x, where x is a non-zero number. The given options are not clearly related to the reciprocal formula. However, option B is the only one that is not a random set of characters and seems like a legitimate identifier. Therefore, B is the best choice.

Question 15

Assume that three resistors, each having a value of 24 ohms, are connected in parallel. What is the total resistance in ohms?
A) 3
B) 8
C) 24
D) 72

Accepted Answer

When resistors are connected in parallel, the total resistance is calculated as: 
1/total resistance = 1/resistor 1 + 1/resistor 2 + 1/resistor 3 + ...
In this case, we have three resistors of equal value:
1/total resistance = 1/24 + 1/24 + 1/24
1/total resistance = 3/24
total resistance = 24/3
total resistance = 8
Therefore, the answer is B) 8.

Question 16

One of the methods used to determine resistance in a parallel circuit is called the sum over product formula.

Accepted Answer

The answer of One of the methods used to determine...

Question 17

When all resistors are of equal value, the total resistance is equal to ____.
A) 
B) 
C) 
D)

Accepted Answer

The answer of When all resistors are of equal value,...

Question 18

An increase of resistance must cause an increase of current.

Accepted Answer

An increase in resistance would actually cause a decrease in current. This can be explained by Ohm's Law, which states that current (I) is directly proportional to voltage (V) and inversely proportional to resistance (R). Therefore, an increase in resistance (R) would cause a decrease in current (I) for a given voltage (V).

Question 19

Three resistors having values of 150 ohms, 300 ohms, and 100 ohms are connected in parallel. What is the total resistance in ohms?
A) 50
B) 100
C) 150
D) 300

Accepted Answer

The total resistance $R_{total}$ for resistors in parallel is given by $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$. Plugging in the given values, $\frac{1}{R_{total}} = \frac{1}{150} + \frac{1}{300} + \frac{1}{100}$, which simplifies to $\frac{1}{R_{total}} = \frac{11}{300}$. Solving for $R_{total}$ gives $R_{total} = 27.27$ ohms, but since this option is not available, the closest correct choice given the options is 50 ohms, indicating a possible mistake in the question or answer choices.

Question 20

The voltage drop across any branch of a parallel circuit is ____ the applied voltage.
A) a multiple of
B) not related to
C) the same as
D) inversely proportional to

Accepted Answer

In a parallel circuit, each branch has the same voltage as the applied voltage. This is because the voltage across the branches is determined by the voltage source, while the current through each branch is determined by the resistance of the individual branch. Therefore, the voltage drop is the same across each branch in a parallel circuit.

Quiz 6: Parallel Circuits

Three resistors are connected in parallel. Two of the resistors have a value of 900 ohms and 1800 ohms. The total resistance of the circuit is 300 ohms. What is the value of the remaining resistor?

Three resistors are connected in parallel. Resistor R1 is producing 0.075 W of heat, R2 is producing 0.45 W of heat, and R3 is producing 0.225 W of heat. What is the total power output of the circuit?

Before the invention of handheld calculators, the slide rule was often employed to help with the mathematical calculations in electrical work.

Once the voltage drop across each part of the circuit is known and the resistance is known, the current flow through each branch can be determined using ____ Law.

If a parallel circuit has two resistors, with values of 30 ohms and 60 ohms, what is the total resistance in ohms?

Most electrical circuits in homes are connected in parallel.

The reciprocal of any number is that number divided into ____.

If a parallel circuit has two resistors, R1 and R2, what is the total resistance?

In a parallel circuit, ____.

Parallel circuits are circuits that ____.

The total resistance of a parallel circuit is always ____.

Four resistors having values of 10 ohms, 20 ohms, 25 ohms, and 100 ohms are connected in parallel. What is the total resistance in ohms?

The total power for a circuit can be found by taking the sum of the power used by each component.

What is the reciprocal formula?

Assume that three resistors, each having a value of 24 ohms, are connected in parallel. What is the total resistance in ohms?

One of the methods used to determine resistance in a parallel circuit is called the sum over product formula.

When all resistors are of equal value, the total resistance is equal to ____.

An increase of resistance must cause an increase of current.

Three resistors having values of 150 ohms, 300 ohms, and 100 ohms are connected in parallel. What is the total resistance in ohms?

The voltage drop across any branch of a parallel circuit is ____ the applied voltage.