Monday, February 20, 2023

Electric Circuits Theory 2

EE6202 Electric Circuits Theory 2

A capacitor is an open circuit to dc.

True

Compute the charge stored on a 33-µF capacitor with 20V across it.

660µC

The unit of inductance is named in honor of

Joseph Henry

The voltage on a capacitor cannot change instantaneously.

True

The unit for capacitance is named after physicist

Michael Faraday

Find the equivalent inductance of the circuit below.

18H

If a 6-µf capacitor is connected to a voltage source with v(t) =20 sin 3000t V, determine the current through the capacitor.

3.6cos3000t A(wrong)

The current through an inductor cannot change abruptly.

True

A ____________ consists of two conducting plates separated by an insulator (or dielectric)

Capacitor

Find the equivalent capacitance of the circuit below.

3.9µF(wrong)

Which equation shows the natural response of the voltage of an RL circuit?

I0Re−(RL)tI0Re−(RL)t

The formula for time constant is

τ=LRτ=LR

In the circuit below, the voltage and current expressions are v=160e−10tVv=160e−10tV, t≥0+t≥0+, i=6.4e−10tAi=6.4e−10tA, t≥0t≥0. Find R.

25Ω25Ω

The currents and voltages that arise when the inductor or capacitor is disconnected abruptly from its dc source are referred to as the ___________ of the circuit.

Natural response

The currents and voltages that arise when energy is being acquired by an inductor or capacitor due to the sudden application of a dc voltage or current source. This response is referred to as the ____________.

Step response

Which equation shows the natural response of the voltage of an RC circuit?

V_0e^{-\tfrac {t}{\tau}V_0e^{-\tfrac {t}{\tau}

Which equation shows the natural response of the current of an RL circuit?

\(I_0Re^-{\left(\tfrac {R}{L}\right)t}\)(wrong)

The switch in the circuit below has been open for a long time. At t = 0 the switch is closed. Determine \(i_0(t)\).

\(1e^{-250t}A, t ≥ 0\)(wrong)

Which equation shows the natural response of the voltage of an RC circuit?

\(\frac {V(0)}{R} e^{-\frac {t}{\tau}\)

\(V_0e^{\tfrac {t}{\tau}\)

 

\(\frac {V(0)}{R} e^{\frac {t}{\tau}\)

 

The switch in the circuit below has been open for a long time. At t = 0 the switch is closed. Determine \(i_0(0)\).

0.5 A

The solution  is used when the current response is determined to be

Underdamped

When  the response of a second-order circuit is

Critically damped

The equation for neper frequency of the series RLC circuit is the same as the equation of the parallel RLC circuit

False

The equations for resonant and damped radian frequencies for the series and the parallel RLC circuit are the same.

True

When  the response of a second-order circuit is

Underdamped

The solution   is used when the current response is determined to be

 

Underdamped(incorrect)

 

The solution  is used when the current response is determined to be

Underdamped(incorrect)

The equation s2 RLs+1LC=0RLs+1LC=0 is the characteristic equation for the

Series RLC circuit

When  the response of a second-order circuit is

Overdamped

In the circuit below  Will the response be overdamped, underdamped, or critically damped?

Overdamped

The nature of the roots s1 and s2  depends on the values of aa and ωω0

True

In the formula  we denote aa as the

Neper frequency

The s2  + sRc+1Lc=0sRc+1Lc=0 is called the _____________ of the differential equation.

Characteristic equation

In the formula

Alpha frequency(incorrect)

In the formula  we denote ωω0 as the

Resonant radian frequency

The neper frequency reflects the effects of the dissipative element

True

The solution  is used when the current response is determined to be

Underdamped

When  the response of a second-order circuit is

Critically damped

The equation for neper frequency of the series RLC circuit is the same as the equation of the parallel RLC circuit

False

The equations for resonant and damped radian frequencies for the series and the parallel RLC circuit are the same.

True

When  the response of a second-order circuit is

Underdamped

The solution   is used when the current response is determined to be

Underdamped(incorrect)

The solution  is used when the current response is determined to be

Underdamped(incorrect)

The equation s2 RLs+1LC=0RLs+1LC=0 is the characteristic equation for the

Series RLC circuit

When  the response of a second-order circuit is

Overdamped

The nature of the roots s1 and s2  depends on the values of aa and ωω0

True

The voltage on a capacitor can change instantaneously.

False

The current through an inductor can change abruptly.

False

In the formula  we denote aa as the

Neper frequency

For the circuit in the figure below, no energy is stored in the 100mH inductor or the 0.4 μFμF capacitor when the switch is closed. The voltage response is

Underdamped

In the equation v=Vmcos(ωt+ϕ),ϕv=Vmcos(ωt+ϕ),ϕ  is called the _____________.

Phase angle

A sinusoidal current has a maximum amplitude of 20 A. the current pases through one complete cycle in 1 ms. The magnitude of the current at zero time is 10 A. What is the frequency of the current in hertz?

1000 Hz

This is the square root of the mean value of the squared function.

RMS value

When  the response of a second-order circuit is

Overdamped(wrong)

This is the number of cycles per second of the sine function.

Frequency

In the formula

Characteristic roots

When  the response of a second-order circuit is

Underdamped(wrong)

In the formula  we denote ωω0 as the

Resonant radian frequency

The neper frequency reflects the effects of the dissipative element

True

The currents and voltages that arise when energy is being acquired by an inductor or capacitor due to the sudden application of a dc voltage or current source. This response is referred to as the ____________.

Step response

A sinusoidal voltage source produces a voltage that varies sinusoidally with time.

True

A sinusoidal voltage is given by the expression v=300cos(120πt+30)v=300cos(120πt+30) . What is the period of the voltage in milliseconds?

16.67 ms

When  the response of a second-order circuit is

Critically damped

For the circuit in the figure below, no energy is stored in the 100mH inductor or the capacitor when the switch is closed. Which two are the roots of the characteristic equation? (Choose two)

(-1400 - j4800) rad/s(1400 - 4800) rad/s

A sinusoidal current has a maximum amplitude of 20 A. the current pases through one complete cycle in 1 ms. The magnitude of the current at zero time is 10 A. What is the frequency of the current in hertz?

1000 Hz

The time required for the sinusoidal function to pass through all its possible values is referred to as the ____________ of the cycle

Period

A sinusoidal current source produces a voltage that varies sinusoidally with time.

False

The equations for resonant and damped radian frequencies for the series and the parallel RLC circuit are the same.

True

The currents and voltages that arise when the inductor or capacitor is disconnected abruptly from its dc source are referred to as the ___________ of the circuit.

Natural response

The equation for neper frequency of the series RLC circuit is the same as the equation of the parallel RLC circuit

False

In the circuit below  Will the response be overdamped, underdamped, or critically damped?

Overdamped

The rules for combining impedances in series or parallel are the same as those for resistors.

True

The basic circuit analysis and tools covered in Electric Circuit Theory 1 cannot be used to analyze circuits in the frequency domain.

False

The rules for delta-to-wye transformations for impedances are the same as those for resistors.

True

The equation Z1=Z1Z2+Z2Z3+Z3Z1Z1Z1=Z1Z2+Z2Z3+Z3Z1Z1 is used when doing

Delta-to-wye transformations-incorrect

The phasor voltage at the terminals of a resistor is the resistance times the phasor current.

True

The equation Z2=ZcZaZa+Zb+ZcZ2=ZcZaZa+Zb+Zc is used when doing

Delta-to-wye transformations

This allows us to simplify a circuit comprised of sources and impedances into an equivalent circuit consisting of a current source and a parallel impedance

Thévenin equivalent circuits (incorrect)

This allows us to exchange a voltage source and a series impedance for a current source and a parallel impedance and vice versa.

Source transformations

The image below shows a

 



Source transformation in the frequency domain

The equation v1+v2+...+vn=0v1+v2+...+vn=0  is the statement of Kirchhoff’s voltage law as it applies to a set of sinusoidal voltages in the

Time domain

For a resistor, the voltage and current are

In phase

The source transformations and the Thévenin-Norton Equivalent Circuits discussed previously in Electric Circuit Theory 1 are analytical techniques that can also be applied to frequency-domain circuits.

True

The equation V1+V2+...+Vn=0V1+V2+...+Vn=0 is the statement of Kirchhoff’s voltage law as it applies to a set of sinusoidal voltages in the

Frequency domain

For a capacitor, the voltage and current are

Out of phase, current leads by 90°

This allows us to simplify a circuit comprised of sources and impedances into an equivalent circuit consisting of a voltage source and a series impedance

Delta-to-wye transformation (incorrect)

In the equation i=Imcos(ωt+θi),Imi=Imcos(ωt+θi),Im is called the _____________.

Phase angle

In the figure, the voltage and the current are



In phase

The equation i1+i2+...+in=0i1+i2+...+in=0 is the statement of Kirchhoff’s current law as it applies to a set of sinusoidal currents in the

Time domain

For n inductor, the voltage and current are

Out of phase, current lags by 90°

The image below shows a

 



Thévenin equivalent circuit in the frequency domain

Impedances connected in parallel can be combined into a single impedance by

Adding the reciprocal of the individual impedances and getting the reciprocal

This allows us to exchange a voltage source and a series impedance for a current source and a parallel impedance and vice versa.

Source transformations

The impedance of an inductor is denoted by

J(−1/ωC)J(−1/ωC)

The interconnected impedances can be reduced to a single equivalent impedances by means of a

Norton equivalent circuits(incorrect)

In the equation i=Imcos(ωt+θi),ωi=Imcos(ωt+θi),ω is called the _____________.

Angular frequency

When impedances are in parallel, they carry the same

Phasor current

When impedances are in series, they carry the same

Phasor voltage

In the equation i=Imcos(ωt+θi),θii=Imcos(ωt+θi),θi is called the _____________.

Phase angle

Impedances connected in series can be combined into a single impedance by

Adding the individual impedances


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