Test 6.1 Second-Order Circuit

Which circuits qualify as second-order circuits?

Circuits in (a) and (b) only
Circuits in (c) and (d) only
Circuits in (b) and (c) only
All 4 circuits

Test 6.2 Sudden Change

Which statement is totally true?

The voltage across a capacitor cannot change instantaneously, but the voltage across an inductor can.
The current through a capacitor cannot change instantaneously, but the current through an inductor can.
The voltage across a capacitor cannot change instantaneously, and neither can the current through it.
The voltage across an inductor cannot change instantaneously, and neither can the current through it.

Test 6.3 Initial Conditions

Determine υ_C(0) in the circuit shown.

Volts Check Answer

Test 6.4 Initial Conditions

Determine i_L(0) in the circuit shown.

Amps Check Answer

Test 6.5 Final Conditions

Determine υ_C(∞) in the circuit shown.

Volts Check Answer

Test 6.6 Final Conditions

Determine i_L(∞) in the circuit shown.

Amps Check Answer

Test 6.7 Sudden Change

Determine υ (0) in the circuit shown.

Volts Check Answer

Test 6.8 Initial Conditions

Determine υ_C(0) in the circuit shown.

Volts Check Answer

Test 6.9 Initial Conditions

Determine υ_L(0) in the circuit shown.

Volts Check Answer

Test 6.10 RLC Circuit

After t=0, the damping coefficient is

α = 2
α = 4
α = 16
α = 64

Test 6.11 RLC Circuit

Which expression provides the correct capacitor voltage for t≥0?

υ_C(t) = (10e^-2t + 20e^-4t) V
υ_C(t) = (10 + 20t)e^-2t V
υ_C(t) = (10 cos 2t - 10 sin 2t) V
υ_C(t) = (8e^-3t + 6e^-6t) V

Test 6.12 RLC Circuit

After t=0, the damping coefficient is

α = 1
α = 2
α = 4
α = 16

Test 6.13 RLC Circuit

Which expression provides the correct capacitor voltage for t≥0?

υ_C(t) = (12e^-2t + 6e^-4t) V
υ_C(t) = (12 cos 3t - 4 sin 3t)e^-2t V
υ_C(t) = (4 + 8t)e^-2t) V
υ_C(t) = (3.47e^-3.73t - 3.47e^-0.27t) V

Test 6.14 RLC Circuit

After t=0, the damping factor is

α = 1
α = 0.4
α = 2.5
α = 5

Test 6.15 RLC Circuit

Which expression provides the correct capacitor voltage for t≥0?

υ_C(t) = 24 - 6e^-2.5t) V
υ_C(t) = 24 - (8 + 10t)e^-2.5t V
υ_C(t) = 24(1 - e^-2.5t) V
υ_C(t) = (24 cos 4t - 24 sin 4t)e^-2.5t V

Test 6.16 RLC Circuit

After t=0, the damping factor is

α = 15
α = 30
α = 45
α = 60

Test 6.17 RLC Circuit

For C= 1/360 F, which expression provides the correct capacitor voltage for t≥0?

υ_C(t) = (24 + 6e^-60t) V
υ_C(t) = (6 + 24e^-60t) V
υ_C(t) = (36 - 12e^-60t) V
υ_C(t) = (6e^-20t + 18e^-40t) V

Test 6.18 RLC Circuit

After t=0, the damping factor is

α = 0.5
α = 1
α = 1.5
α = 2

Test 6.19 RLC Circuit

Which expression provides the correct inductor current for t≥0?

i_L(t) = (3e^-4t + 2e^-t) A
i_L(t) = [3 cos(2t) - 3 sin(3t)]e^-2t A
i_L(t) = (3 - 6t)e^-2t A
i_L(t) = 3 - 3(1 + t)e^-2t A

Test 6.20 Energy

How much energy is stored in the capacitor at t=∞?

W_C(∞) = Check Answer

Test 6.21 Energy

How much energy is stored in the inductor at t=∞?

W_L(∞) = Joules Check Answer

Test 6.22 RC Circuit

The switch in the circuit was opened at t=0, after it had been closed for a long time. Current i₂(t) for t≥0 is given by

i₂(t) = 2.5e^-3.3t A
i₂(t) = 1.25e^-0.33t A
i₂(t) = 2.5(1 - e^-0.33t) A
i₂(t) = 0

Test 6.23 RLC Circuit

After t=0, the damping coefficient is

α = 1
α = 2
α = 4
α = 16

Test 6.24 RLC Circuit

Which expression provides the correct capacitor voltage for t≥0?

υ_C(t) = (12 - 12t)e^-2t V
υ_C(t) = -0.77(e^-0.06t - e^-3.94t) V
υ_C(t) = (6 cos 2t + 6 sin 2t + 12) V
υ_C(t) = (12e^-2t - 12e^-4t) V

Test 6.25 RLC Circuit

After t=0, the damping factor is

α = 1
α = 0.4
α = 2.5
α = 5

Test 6.26 RLC Circuit

Which expression provides the correct capacitor voltage for t≥0?

υ_C(t) = 12 - 3e^-2.5t) V
υ_C(t) = 12 - (1 - e^-2.5t) V
υ_C(t) = (12 cos 2t - 12 sin 2t)e^-2.5t V
υ_C(t) = 12 - (4 + 5t)e^-2.5t V

Test 6.27 RLC Circuit

What is the inductor current for t≥0?

i_L(t) = -2.4(1 - e^-10t) A
i_L(t) = 2.4(1 - e^-10t) A
i_L(t) = -0.24(1 - e^-2t) A
i_L(t) = 0.24(1 - e^-2t) A

Test 6.28 RLC Circuit

After t=0, the damping coefficient is

α = 0.5
α = 1
α = 1.5
α = 2

Test 6.29 RLC Circuit

Which expression provides the correct inductor current for t≥0?

i_L(t) = (6e^-4t + 4e^-2t) A
i_L(t) = 6 - 6(1 + t)e^-2t) A
i_L(t) = (6 cos 2t - 6 sin 3t)e^-2t A
i_L(t) = (3 - 6t)e^-2t) A