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Power Factor and Phase Relationships in AC Circuits Quiz

#1

What is the power factor of a purely resistive circuit?

1
Explanation

The power factor of a purely resistive circuit is 1, indicating that the current is in phase with the voltage.

#2

In an AC circuit, if the current and voltage are in phase, what is the power factor?

1
Explanation

When current and voltage are in phase in an AC circuit, the power factor is 1.

#3

What is the unit of power factor?

It is dimensionless
Explanation

The power factor is a dimensionless quantity and has no unit.

#4

What is the range of power factor values in most practical AC circuits?

-1 to 1
Explanation

The range of power factor values in most practical AC circuits is between -1 and 1.

#5

What is the unit of reactive power?

Volt-Ampere Reactive (VAR)
Explanation

The unit of reactive power is Volt-Ampere Reactive (VAR).

#6

What is the formula for calculating power factor?

PF = V * I * cos(θ)
Explanation

Power factor (PF) is calculated using the formula PF = V * I * cos(θ), where V is voltage, I is current, and θ is the phase angle.

#7

What does a leading power factor indicate?

Capacitive circuit
Explanation

A leading power factor indicates a capacitive circuit, where the current leads the voltage in the circuit.

#8

What happens to the power factor of a purely inductive circuit?

Decreases
Explanation

The power factor of a purely inductive circuit decreases, indicating a phase lag between voltage and current.

#9

What is the relationship between power factor and energy efficiency in AC circuits?

Higher power factor leads to higher energy efficiency
Explanation

In AC circuits, a higher power factor is associated with higher energy efficiency.

#10

What device is commonly used to improve power factor in AC circuits?

Capacitor
Explanation

A capacitor is commonly used to improve power factor in AC circuits through power factor correction.

#11

In a circuit with a lagging power factor, the phase angle between current and voltage is...

Positive
Explanation

In a circuit with a lagging power factor, the phase angle between current and voltage is positive.

#12

What is the mathematical relationship between power factor and cosine of the phase angle?

PF = cos(θ)
Explanation

The mathematical relationship between power factor and cosine of the phase angle is PF = cos(θ).

#13

What is the cosine of the phase angle in a circuit with a power factor of 0.8?

0.8
Explanation

The cosine of the phase angle in a circuit with a power factor of 0.8 is 0.8.

#14

In a circuit with a power factor of 0.5, what is the relationship between real power and apparent power?

Real power is double of apparent power
Explanation

In a circuit with a power factor of 0.5, the real power is double the apparent power.

#15

What is the power factor of an ideal inductor?

0
Explanation

The power factor of an ideal inductor is 0.

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