Circuit Analysis Ch.2

Ch.2 Concepts Quiz

Materials in general have a characteristic behavior of resisting the flow of electric charge. This physical property, or ability to resist current, is known as ____ and is represented by the symbol R.

Resistance or resistivity

What will happen if the cross-sectional area increases in a resistor?

a. Resistance decreases

b. Resistance becomes zero

c. Resistance remains the same

d. Resistance increases

a. Resistance decreases

T/F: When Ohm's law is applied to a circuit, current decreases with an increase in resistance.

True

1 Ohm = ?

a. 1V-1A

b. 1V x 1A

c. 1V + 1A

d. 1V/1A

d. 1V/1A

For a circuit to satisfy the v = iR, identify the condition that needs to be satisfied in the circuit.

a. The sign that corresponds to the voltage polarity should be the same as the direction of the current.

b. The current should flow from a higher potential to a lower potential.

c. The electrical resistance of the circuit should be zero.

d. The current should flow from a lower potential to a higher potential.

b. The current should flow from a higher potential to a lower potential.

Insulator have _____ resistivities.

a. Low

b. 1/∞

c. High

d. 0

c. High

A short circuit is a circuit element with resistance approaching _____.

a. 2 ohms

b. 100 ohms

c. 0

d. ∞

c. 0

What is the unit of resistivity?

a. Amperes

b. Volts

c. Watts

d. Ohm-meters

d. Ohm-meters

T/F: The circuit in the image is an open circuit.

True

In the mathematical form of Ohm's law v = iR, R is measured in the unit of _____.

a. ohms

b. volts

c. candela

d. ampere

a. ohms

The circuit symbol in the image is used to denote _____.

a. a variable resistor

b. neither a variable nor a fixed resistor

c. a fixed resistor

d. both variable and fixed resistors

a. a variable resistor

According to Ohm's law, the current in a circuit increases when:

a. v decreases.

b. v increases.

c. R decreases.

d. R increases.

b. v increases.

c. R decreases.

What is the reciprocal of resistance?

a. Current

b. Capacitance

c. Conductance

d. Voltage

c. Conductance

T/F: As per the passive sign convention, if current flows from a lower potential to a higher potential, v = iR.

False

Which of the following is the accurate relationship between power p, current i and electrical conductance G?

Multiple choice question.

a. p = i²/G

b. p = i²G

c. p = Rⁱ

d. p = i^R

a. p = i²/G

The circuit in the image is a(n) _____.

a. short circuit

b. infinite circuit

c. open circuit

a. short circuit

In a circuit, a _____ is the point of connection between two or more branches.

a. loop

b. voltage source

c. node

c. node

A circuit with R = _____ is known as an open circuit.

a. -100

b. -1

c. 0

d. ∞

d. ∞

Identify the nodes in the circuit. Select all that apply.

a. Point a

b. The 2 ohm resistor

c. The 10 V voltage source

d. Point c

e. The 2 A current source

f. The 3 ohm resistor

g. Point b

a. Point a

d. Point c

g. Point b

Considering the given figure, identify the type of resistor.

a. composition

b. wirewound

c. slider pot

d. carbon film

c. slider pot

Elements are _____ if they are connected to the same pair of terminals.

a. neither in parallel nor in series

b. in series

c. in parallel

c. in parallel

The ability of an element to conduct electric current is known as electric ______.

Conductivity

_____ states that the algebraic sum of currents entering a node (or a closed boundary) is zero.

a. Ohm's current law

b. Gauss's law

c. Kirchhoff’s current law

d. Coulomb's law

c. Kirchhoff’s current law

What are the different formulas used to determine the power dissipated by a resistor?

a. p = vi

b. p= v²/R

c. p = i²R

d. p = v/i

e. p = v²/R

f. p = i²/R

a. p = vi

b. p= v²/R

c. p = i²R

T/F: Kirchhoff's current law can be applied to the closed boundary shown in the figure.

True

A _____ is any closed path in a circuit.

a. node

b. branch

c. loop

c. loop

Kirchhoff's second law is based on _____.

a. Ohm's law

b. The law of radioactive decay

c. The principle of conservation of energy

c. The principle of conservation of energy

A loop is said to be _____ if it contains at least one branch which is not a part of any other loop.

a. independent

b. nonlinear

c. variable

d. linear

a. independent

Apply Kirchhoff’s second law to the circuit in the figure. In the clockwise direction, the equation obtained is –v₁+ v₂+ v₃–v₄+ v₅ = 0. What will be the equation if the counterclockwise direction is considered?

a. v₁+ v₂+ v₃+ v₄+ v₅ = 0

b. –v₁– v₂– v₃– v₄– v₅ = 0

c. –v₁+ v₂– v₃–v₄+v₅ = 0

d. v₁– v₂– v₃+ v₄– v₅ = 0

d. v₁– v₂– v₃+ v₄– v₅ = 0

Two or more elements are _____ if they are connected to the same two nodes and consequently have the same voltage across them.

a. neither in series nor in parallel

b. in series

c. in parallel

c. in parallel

Given that v = 30 V, R₁ = 2 Ω, R₂ = 1 Ω, and i = ?, determine i.

a. 3 A

b. 30 A

c. 60 A

d. 10 A

d. 10 A

Kirchhoff's first law is based on _____.

a. The law of conservation of charge

b. Kepler's first law

c. Ohm's law

a. The law of conservation of charge

In the given circuit, determine the formula that can be used to calculate the voltage in the circuit.

a. v = i (R₁ + R₂)

b. v = (R₁ + R₂)/ i
c. v = (R₁ + R₂) – i

d. v = i /(R₁ + R₂)

a. v = i (R₁ + R₂)

Based on the figure, identify a true statement about current flow.

a. The total current entering the closed surface is less than the total current leaving the surface.

b. The total current entering the closed surface is greater than the total current leaving the surface.

c. The total current entering the closed surface is equal to the total current leaving the surface.

c. The total current entering the closed surface is equal to the total current leaving the surface.

Given that R₁ = 10 Ω, R₂ = 10 Ω, v = 10 V, and i = ?, determine i.

a. 5 A

b. 2 A

c. 30 A

d. 10 A

b. 2 A

_____ states that the algebraic sum of all voltages around a closed path (or loop) is zero.

a. Coulomb's voltage law

b. Ohm's voltage law

c. Kepler's voltage law

d. Kirchhoff's voltage law

d. Kirchhoff's voltage law

If three resistors of 0.1 Ω, 0.2 Ω, and 0.2 Ω are connected in parallel in a circuit, determine the total conductance of the circuit.

a. 5 S

b. 10 S

c. 2 S

d. 20 S

d. 20 S

With respect to the application of KVL for a single loop circuit, which of the following relationships is true?

a. Sum of voltage drops > Sum of voltage rises

b. Sum of voltage drops = Sum of voltage rises

c. Sum of voltage drops < Sum of voltage rises

b. Sum of voltage drops = Sum of voltage rises

The figure shows a simple circuit of resistors. Identify a true statement about this connection.

a. It is a T-connected network.

b. It is a wye-connected network.

c. It is a Π connected network.

d. It is a ω-connected network.

c. It is a Π connected network.

Given that v = 30 V, R₁ = 2 Ω, R₂ = ?, and i = 10 A, determine R₂.

a. 3 Ω

b. 1 Ω

c. 2 Ω

d. 0.5 Ω

b. 1 Ω

The given figure shows the superposition of delta to wye network conversion. Match the resistances of the wye network (in the left column) with their formula (in the right column).

T/F: The equivalent resistance of any number of resistors connected in series is the sum of the individual resistances.

True

The given figure shows the superposition of wye to delta network conversion. Match the resistances of the delta network (in the left column) with their formula (in the right column).

If 3 resistors of 10 Ω, 5 Ω, and 5 Ω are connected in parallel in a circuit, determine the total resistance of the circuit.

a. 5 Ω

b. 2 Ω

c. 10 Ω

d. 20 Ω

b. 2 Ω

Identify the devices that take advantage of resistors as the main component.

a. Electric ovens

b. Light bulbs

c. Batteries

d. Electric stoves

c. Batteries

Given that G₁ = 0.1 S, G₂ = 0.1 S, v = 10 V, and i = ?, determine i.

a. 2 A

b. 30 A

c. 10 A

d. 5 A

a. 2 A

Identify the reasons why a series connection is seldom used in lighting systems.

a. It is hard to maintain.

b. When a lamp fails, all the lamps go out.

c. It is hard to manufacture.

a. It is hard to maintain.

b. When a lamp fails, all the lamps go out.

Identify a true statement about the connection of a simple circuit of resistors shown in figure.

a. It is a ω-connected network.

b. It is a T-connected network.

c. It is a delta-connected network.

d. It is a Π-connected network.

b. It is a T-connected network.

Three light bulbs are connected to a 5-V battery as shown in the figure. Calculate the total current supplied by the battery.

a. 6 A

b. 13 A

c. 12 A

d. 9 A

d. 9 A

Identify a true statement about a delta to a wye network conversion.

a. The resistance between each pair of nodes in the delta network must be half the resistance between the same pair of nodes in the wye network.

b. The resistance between each pair of nodes in the delta network must be the same as the resistance between the same pair of nodes in the wye network.

c. The resistance between each pair of nodes in the delta network must be triple the resistance between the same pair of nodes in the wye network.

d. The resistance between each pair of nodes in the delta network must be double the resistance between the same pair of nodes in the wye network.

b. The resistance between each pair of nodes in the delta network must be the same as the resistance between the same pair of nodes in the wye network.

Identify a true statement about a wye (Y) to a delta (Δ) network transformation.

a. Each resistor in the Δ network is the product of all possible products of Y resistors taken two at a time, divided by the opposite Y resistor.

b. Each resistor in the Δ network is the sum of all possible products of Y resistors taken two at a time, multiplied by the opposite Y resistor.

c. Each resistor in the Δ network is the sum of all possible products of Y resistors taken two at a time, divided by the opposite Y resistor.

d. Each resistor in the Δ network is the product of all possible products of Y resistors taken two at a time, multiplied by the opposite Y resistor.

c. Each resistor in the Δ network is the sum of all possible products of Y resistors taken two at a time, divided by the opposite Y resistor.

The figure shows a circuit that contains a potentiometer. The V_out in the circuit increases as the sliding contact of the pot _____.

a. moves toward a

b. remains stationary

c. moves toward c

a. moves toward a

Resistors can be used to _____.

a. store charge

b. make the current flow in one direction

c. convert electrical energy to heat energy

d. supply voltage to a circuit

c. convert electrical energy to heat energy

The voltmeter measures the voltage across a(n)?

Load or element

T/F: To detect a faulty lamp in a series lighting system, one is required to test only one lamp to determine the faulty one.

False

Three light bulbs are connected to a 9-V battery as shown in the figure. Here, the total ____ supplied by the battery is equal to the total power absorbed by the bulbs.

Power

As shown in the circuit, the ammeter consists of a d'Arsonval movement in parallel with a resistor whose resistance is deliberately made _____ to minimize the voltage drop across it.

a. infinity

b. very small

c. high

b. very small

Which of the following are true about a potentiometer?

a. It is used as a volume or level control on radios, TVs, and other devices.

b. It is a three-terminal device that operates on the principle of voltage division.

c. It is an instrument to measure the reactive power.

d. It is an instrument to measure the average power absorbed by a load.

a. It is used as a volume or level control on radios, TVs, and other devices.

b. It is a three-terminal device that operates on the principle of voltage division.

T/F? The potentiometer is an adjustable voltage divider.

True

Applying KVL to the circuit in the figure gives _____.

a. E = (R + R_m + R_x ) I_m

b. E = (R + R_m - R_x ) I_m

c. E = (R - R_m + R_x ) I_m

d. E = (R - R_m - R_x ) I_m

a. E = (R + R_m + R_x ) I_m

The potentiometer operates on the principle of _____.

a. voltage division

b. current division

c. inductance

d. capacitance

a. voltage division