Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 7, Problem 37P
a)
To determine
Find the expression for
b)
To determine
Find the expression for
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A linear electrical load draws 11 A at a 0.72 lagging power factor./1 153. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 11 and 12
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, IC = 12 - 11, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (11(t)) and after (12(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i2(t) – i1(t) using the theories of trigonometry to obtain the capacitor current
in the form, ¡C(t) = ICm sin(2πft + OC). Compare the result with the result in Part b.
Transmission line data:Data:• Active power of the load (P): 50 kW• Power factor of the load (PF): 0.8 (lagging)• Line-to-line voltage at the load (V_LC): 13.8 kV• Line resistance (R): 2 Ω• Line inductance (L): 0.8 H• Line capacitance (C): 0.0003 F• Required series compensation: 60% of the line impedance.• Line length: 250 kmDetermine:1. Characteristic impedance and propagation constant.2. The generalized long line constants A, B, C, D.3. Total voltage, current and power at the generating end.4. Voltage regulation.5. Parameters A, B, C, D of the compensation circuit.6. New generalized constants of the power system afterseries compensation.7. Conclusion of the results obtained.
3.18
In a single-phase half-wave ac-dc converter, the average value of the load
current is 1.78 A. If the converter is operated from a 240 V, 50 Hz supply
and if the average value of the output voltage is 27% of the maximum
possible value, calculate the following, assume the load to be resistive.
(a) Load resistance
(b) Firing angle
(c) Average output voltage
(d) The rms load voltage
(e) The rms load current
(f) DC power
(g) AC power
(h) Rectifier efficiency
(i) Form factor
(j) Ripple factor
Chapter 7 Solutions
Electric Circuits. (11th Edition)
Ch. 7.1 - The switch in the circuit shown has been closed...Ch. 7.1 - Prob. 2APCh. 7.2 - Prob. 3APCh. 7.2 - Prob. 4APCh. 7.3 - Prob. 5APCh. 7.3 - Prob. 6APCh. 7.4 - Prob. 7APCh. 7.4 - Prob. 8APCh. 7.5 - Prob. 9APCh. 7.5 - Prob. 10AP
Ch. 7.7 - There is no energy stored in the capacitor at the...Ch. 7.7 - Prob. 12APCh. 7 - Prob. 1PCh. 7 - In the circuit shown in Fig. P 7.2, the switch...Ch. 7 - Prob. 3PCh. 7 - The switch shown in Fig. P 7.4 has been open for a...Ch. 7 - Prob. 5PCh. 7 - For the circuit of Fig. P 7.5, what percentage of...Ch. 7 - Prob. 7PCh. 7 - In the circuit in Fig. P 7.8, the voltage and...Ch. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 -
The switch in the circuit seen in Fig. P 7.11 has...Ch. 7 - In the circuit in Fig. P 7.11, let Ig represent...Ch. 7 - The two switches in the circuit seen in Fig. P...Ch. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - For the circuit seen in Fig. P 7.19, find
the...Ch. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - The switch in the circuit in Fig. P 7.25 is closed...Ch. 7 - In the circuit shown in Fig. P 7.26, both switches...Ch. 7 -
In the circuit in Fig. P 7.27 the voltage and...Ch. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - The switch in the circuit seen in Fig. P 7.30 has...Ch. 7 - In Problem 7.30 how many microjoules of energy are...Ch. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - The switch in the circuit shown in Fig. P 7.38 has...Ch. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - For the circuit in Fig. P 7.4, find (in...Ch. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - The switch in the circuit of Fig. P 7.55 has been...Ch. 7 - The switch in the circuit seen in Fig. P 7.56 has...Ch. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - The switch in the circuit shown in Fig. P 7.61 has...Ch. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Prob. 71PCh. 7 - Prob. 72PCh. 7 - Prob. 73PCh. 7 - For the circuit in Fig. P 7.73, how many...Ch. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - Prob. 79PCh. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 87PCh. 7 - Prob. 88PCh. 7 - Prob. 90PCh. 7 - Prob. 91PCh. 7 - Prob. 92PCh. 7 - Prob. 93PCh. 7 - Prob. 94PCh. 7 - Prob. 95PCh. 7 - Prob. 100PCh. 7 - Prob. 101PCh. 7 - Prob. 102PCh. 7 - Prob. 103PCh. 7 - Prob. 104PCh. 7 - Prob. 105PCh. 7 - Prob. 106PCh. 7 - Prob. 107P
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