Free BEE Bachelor of Electrical Engineering DC and AC Circuit Analysis Questions and Answers

Question 1

According to Thevenin's theorem, any linear electrical network with two terminals can be replaced by an equivalent circuit consisting of what?

Accepted Answer

A voltage source in series with a resistor

Answer

Thevenin's theorem states that any linear circuit can be simplified to an equivalent circuit with a single voltage source (Vth) in series with a single resistor (Rth) connected to a load. This simplifies the analysis of the original complex circuit.

Question 2

In a series RLC circuit, what condition results in a critically damped response to a step input?

Accepted Answer

(R/2L)^2 = 1/LC

Answer

The transient response of a series RLC circuit is determined by the damping factor. A critically damped response, which returns to equilibrium as quickly as possible without oscillating, occurs when the damping ratio is equal to 1. This corresponds to the condition where (R/2L)^2 = 1/LC.

Question 3

A design engineer needs to correct the power factor of an industrial motor that presents a lagging (inductive) load. Which of the following is the most common and effective method to improve the power factor towards unity?

Accepted Answer

Adding a capacitor in parallel with the motor.

Answer

Inductive loads cause the current to lag the voltage, resulting in a poor (lagging) power factor. To correct this, a component that causes current to lead the voltage is needed. Capacitors have this property. By adding a capacitor in parallel with the inductive load, the leading reactive power from the capacitor compensates for the lagging reactive power of the motor, bringing the power factor closer to unity.

Question 4

For maximum power transfer in an AC circuit, what must be the relationship between the load impedance (ZL) and the Thevenin equivalent impedance (Zth) of the source network?

Accepted Answer

ZL is the complex conjugate of Zth

Answer

The maximum power transfer theorem for AC circuits states that maximum power is delivered from a source to a load when the load impedance is the complex conjugate of the Thevenin (or source) impedance. If Zth = Rth + jXth, then for maximum power transfer, ZL must be Rth - jXth.

Question 5

When applying the superposition theorem to a circuit containing multiple independent sources, how are the other sources treated when calculating the contribution of a single voltage source?

Accepted Answer

All other voltage sources are replaced by short circuits, and all current sources are replaced by open circuits.

Answer

The superposition theorem allows for the analysis of a linear circuit with multiple sources by considering each source independently. When analyzing the effect of one voltage source, all other independent voltage sources are turned off (replaced by a short circuit, their ideal internal resistance) and all independent current sources are turned off (replaced by an open circuit, their ideal internal resistance).

BEE - Bachelor of Electrical Engineering Practice Test

BEE - Bachelor of Electrical Engineering Practice Test

Free BEE Bachelor of Electrical Engineering DC and AC Circuit Analysis Questions and Answers