1. A series RL circuit containing a 0.17-H inductor has a time constant of 0.13 s. What is the resistance in the circuit?

2. A 1000-ohm's resistor is joined in series with a 400-mH inductance and a 12-V battery. (a) What is the time constant of the circuit? (b) How long will it take after the circuit is completed for voltage across the resistor to reach 3.0 V?

3. A 250-microF capacitor is discharged through a 4.7-Mohm's resistance. What is the time constant?

4. A 5000-ohm's resistor is joined in series with a 100-microF capacitor. (a) What is the capacitive time constant of this combination? (b) If a 9.0-V battery is suddenly connected across the RC combination, how long will it take for the capacitor voltage to reach 8.0 V?

5. A radio circuit carries a sinusoidal current with a peak of 15.1 mA. What is the effective value of the current?

6. What is reactance of a 1.0-microF capacitor at a frequency of (a) 60 Hz, (b) 500 Hz, (c) 1000 Hz, and (d) 10 kHz?

7. An inductor has an inductance of 25mH. What is the reactance of this inductor at frequencies of 60, 1000, and 10,000 Hz?

8. A series circuit has R = 33 O, L = 0.15 H, and C = 110 microF across a 60-Hz sinusoidal voltage source with a peak value of 18-V. (a) What is the peak voltage across each of these elements? (b) What is the peak voltage across the combination of these elements? (c) What is the current in the circuit? (d) What is the phase angle between voltage and current?

Solution Preview

1. The time constant t = L/R seconds ==> R = L/t = 0.17/0.13 = 1.31 Ohms

2. t = 0.4/1000 = 4*10^-4 sec
When it reaches 3V across the resistor, the circuit current will be,
3/1000 = 3mA
We have I = (V/R) * [1 - Exp(-R/L)t]
Or, 3/1000 = (12/1000)*[1 - Exp(-1000/0.4)t]

Please see attached file on Transients in RLC circuits and Laplace transform.
Please complete the following examples and show detailed workings and narratives including transposition of formula and graphical display where required.

See attached file for full problem description.
18. A 120-V rms voltage at 1000 Hz is applied to a resistor and an inductor in series. If the impedance of this circuit is 110 ohms, what is the maximum value of the current?
19. A 200-ohm resistor, a 40.0-mH inductor and a 2.00-uF capacitor are connected in series with a 120

A circuit consists of a sine wave signal generator and a reactive component (L or C). The output of the generator is a sine wave with a peak amplitude of 8.8 volts at a frequency of 10.0 kHz.
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b. The generator

(a)
A particular 240V, 50Hz electrical appliance is rated at 2kW and has a lagging power factor of 0.7.
(i)
Determine the appliance's power factor when it is used on a 60Hz supply.
(ii)
Calculate the supply voltage required to maintain the appliance at its rated power when operated off a 60Hz supply.
(b)
When plac

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2) What does an inductor do in a dc circuit?
3)What is the point of having a cap to ground in a dc circuit?
4)What is the purpose of a null modem?
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