Test 5.1 Step Function

Which plot corresponds to the step-function expression y(t) = 5u(t + 3)?

Test 5.2 Pulse

Which expression corresponds to the displayed waveform?

y(t) = 4rect[(t + 2)/4]
y(t) = 4rect[(t - 1)/4]
y(t) = 4u(t + 3) – 4u(t – 1)
y(t) = 4u(t - 3) – 4u(t + 1)

Test 5.3 Pulse

Which expression corresponds to the displayed waveform?

y(t) = 4rect[(t + 2)/4]
y(t) = 4rect[(t - 1)/4]
y(t) = 4u(t + 3) – 4u(t – 1)
y(t) = 4u(t + 1) – 4u(t - 3)

Test 5.4 Capacitor

For a parallel-plate capacitor:

The capacitance C varies as d/A.
The capacitance C varies as A/d.

Test 5.5 Capacitor

For a parallel-plate capacitor:

The energy stored in the capacitor varies as υ.
The energy stored in the capacitor varies as υ².

Test 5.6 Capacitor

For a parallel-plate capacitor:

The voltage can change instantaneously, but the current cannot.
The current can change instantaneously, but the voltage cannot.

Test 5.7 Voltage Division

Voltage division for two in-series capacitors follows the same rule as for:

Two in-series resistors.
Two in-parallel resistors.

Test 5.8 Voltage Division

Voltage division for two in-series inductors follows the same rule as for:

Two in-series resistors.
Two in-parallel resistors.

Test 5.9 Inductors

The inductance of a solenoid can be increased by increasing its length ℓ.

True
False

Test 5.10 Inductors

The inductance of a solenoid can be increased by increasing its cross-section S.

True
False

Test 5.11 Inductors

The inductance of a solenoid can be increased by using a ferromagnetic material with large permeability.

True
False

Test 5.12 Inductors

The inductance of a solenoid can be increased by using more turns around the cylinder.

True
False

Test 5.13 Step Function

Which expression corresponds to the displayed waveform?

y(t) = 2u(t) + 6u(t – 1) – 2u(t – 3)
y(t) = 2u(t) + 4u(t – 1) – 6u(t – 3) + 2u(t -4)
y(t) = 2u(t) + 4u(t – 1) – 8u(t – 3) + 2u(t -4)
y(t) = 2u(t) + 6u(t – 1) – 8u(t – 3) + 2u(t -4)

Test 5.14 Ramp Waveform

Which expression corresponds to the displayed waveform? Indicate whether or not the expression y(t) = 100r(t + 4) – 100r(t + 2) – 100r(t – 2) + 100r(t – 4) is a correct representation of the given waveform.

y(t) = 100r(t + 4) – 100r(t + 2) – 100r(t – 2) + 100r(t – 4)
y(t) = 100r(t + 4) – 50r(t + 2) – 50r(t – 2) + 100r(t – 4)
y(t) = 25r(t + 4) – 25r(t + 2) – 25r(t – 2) + 25r(t – 4)
y(t) = 50r(t + 4) – 50r(t + 2) – 50r(t – 2) + 50r(t – 4)

Test 5.15 Capacitors under dc Conditions

Determine υ₁ under dc conditions.

Volts Check Answer

Test 5.16 Capacitors under dc Conditions

Determine υ₂ under dc conditions.

Volts Check Answer

Test 5.17 Capacitors

Reduce the circuit into a single equivalent capacitor at terminals (a,b). All initial voltages are zero at t = 0.

μF Check Answer

Test 5.18 Capacitors

Reduce the circuit into a single equivalent capacitor at terminals (b,d). All initial voltages are zero at t = 0.

F Check Answer

Test 5.19 RLC Circuit

Determine υ_c under dc conditions.

Volts Check Answer

Test 5.20 RLC Circuit

Determine i₂ under dc conditions.

Amps Check Answer

Test 5.21 RL Circuit

The current i_L(t) for t≥0 is:

i_L(t) = 0.5(1 - e^-0.1t) A
i_L(t) = 0.5(1 - e^-10t) A
i_L(t) = 0.5(1 + e^-0.1t) A
i_L(t) = 0.5(1 + e^-10t) A

Test 5.22 RL Circuit

The current i_L(t) for t≥0 is:

i_L(t) = 0.5(1 - e^-0.1t) A
i_L(t) = 0.5(1 + e^-0.05t) A
i_L(t) = 0.5e^-0.05t A
i_L(t) = 0.5e^-20t A

Test 5.23 RC Circuit

The voltage across the capacitor for t≥0 is:

υ(t) = 4e^-0.2t V
υ(t) = 12e^-2t V
υ(t) = 4(1 - e^-0.2t) V
υ(t) = 12(1 - e^-2t) V

Test 5.24 RC Circuit Response

The switch had been open for a long time before it was closed at t=0. The capacitor's voltage response at t≥0 is (select one answer):

υ_c(t) = 24(1 - 0.5e^-t) u(t) V
υ_c(t) = 24(e^-t/2) u(t) V
υ_c(t) = 24(1 - e^-2t) u(t) V
υ_c(t) = 12(1 - e^-2t) u(t) V

Test 5.25 RC Circuit Response

The switch had been in position 1 for a long time before it was moved to position 2 at t=0. The capacitor's voltage response at t≥0 is (select one answer):

υ_c(t) = 6e^-10t u(t) V
υ_c(t) = 24e^-0.1t u(t) V
υ_c(t) = 12e^-10t u(t) V
υ_c(t) = 6(1 - e^-0.1t u(t) V

Test 5.26 RC Circuit Response

The switch had been closed for al ong time before it was opened at t=0. The capacitor's voltage response at t≥0 is (select one answer):

υ_c(t) = 12(1 - e^-3t) u(t) V
υ_c(t) = 12e^-t/2 u(t) V
υ_c(t) = 4e^-2t u(t) V
υ_c(t) = 4e^-t/2 u(t) V

Test 5.27 RL Circuit Response

The switch had been in position 1 for a long time before it was moved to poistion 2 at t=0. The inductor's current response at t≥0 is (select one answer):

i_L(t) = 4e^-t/2 u(t) A
i_L(t) = 2(1 - e^-2t) u(t) A
i_L(t) = 4(1 - e^-2t) u(t) A
i_L(t) = 2(1 - e^-t/2) u(t) A

Test 5.28 RL Circuit Response

The switch had been in position 1 for a long time before it was moved to position 2 at t=0. The inductor's current response at t≥0 is (select one answer):

i_L(t) = 5e^-4t u(t) A
i_L(t) = 5e^-0.1t u(t) A
i_L(t) = 2e^-10t u(t) A
i_L(t) = 2e^-20t u(t) A

Test 5.29 RL Circuit Response

The switch had been open for a long time before it was closed at t=0. The inductor's current response at t≥0 is (select one answer):

i_L(t) = 4e^-3t u(t) A
i_L(t) = 2.33e^-t/3 u(t) A
i_L(t) = 4(1 - e^-4t) u(t) A
i_L(t) = 2.33e^-3t u(t) A

Test 5.30 RL Circuit Response

The switch had been in position 1 for a long time before it was moved to position 2 at t=0. If L=0.8 H, the inductor's current response at t≥0 is (select one answer):

i(t) = (20 - 25e^-50t) u(t) mA
i(t) = (5 + 20e^-50t) u(t) mA
i(t) = (5 + 20e^-t/50) u(t) mA
i(t) = (20 - 25e^-t/50) u(t) mA

Test 5.31 RC Op-Amp Circuit

The input voltage waveform shown in (a) is applied to the circuit shown in (b).

  

Which of the following is the correct output voltage waveform?