1. a) Compute the capacitance of a parallel-plate capacitor with plates 10 cm by 20 cm and separation of 5 mm if the dielectric are (i) an air dielectric, (ii) a ceramic dielectric with permittivity of 7500. (2 Marks)

Delmar's Standard Textbook Of Electricity
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Chapter20: Capacitance In Ac Circuits
Section: Chapter Questions
Problem 2PA: You are working in an industrial plant. You have been instructed to double the capacitance connected...
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1. a) Compute the capacitance of a parallel-plate capacitor with plates 10 cm by 20 cm and separation of
5 mm if the dielectric are
(i) an air dielectric,
(ii) a ceramic dielectric with permittivity of 7500.
(2 Marks)
b) For the arrangement shown in figure 1, find
2 µF
(i) the equivalent capacitance of the circuit,
15 μF
(ii) the voltage across QR, and
R
(iii) the charge on each capacitor.
(3 Marks)
3 µF
240 V O
Figure 1
2.
For a current of r.m.s. value 5 A, and frequency 2 kHz, write down the standard expression.
Hence, calculate:
(a) the instantaneous value 150 µs after it passes through zero, and
(b) the time taken for it to reach 4 A, after passing through zero for the first time.
(5 Marks)
3.
The waveform displayed on an oscilloscope is as shown in Figure 3. The 'time/cm' switch is set to 2
ms/cm, and the 'volts/cm' switch is set to 0.5 V/cm. Determine:
(1) amplitude of waveform Q
(ii) peak to peak value of waveform P
P
(iii) frequency of waveform P
(iv) angular frequency of waveform Q and
(v) phase angle differ ence between P and
Q in Degrees.
(5 Marks)
Figure 3
Transcribed Image Text:1. a) Compute the capacitance of a parallel-plate capacitor with plates 10 cm by 20 cm and separation of 5 mm if the dielectric are (i) an air dielectric, (ii) a ceramic dielectric with permittivity of 7500. (2 Marks) b) For the arrangement shown in figure 1, find 2 µF (i) the equivalent capacitance of the circuit, 15 μF (ii) the voltage across QR, and R (iii) the charge on each capacitor. (3 Marks) 3 µF 240 V O Figure 1 2. For a current of r.m.s. value 5 A, and frequency 2 kHz, write down the standard expression. Hence, calculate: (a) the instantaneous value 150 µs after it passes through zero, and (b) the time taken for it to reach 4 A, after passing through zero for the first time. (5 Marks) 3. The waveform displayed on an oscilloscope is as shown in Figure 3. The 'time/cm' switch is set to 2 ms/cm, and the 'volts/cm' switch is set to 0.5 V/cm. Determine: (1) amplitude of waveform Q (ii) peak to peak value of waveform P P (iii) frequency of waveform P (iv) angular frequency of waveform Q and (v) phase angle differ ence between P and Q in Degrees. (5 Marks) Figure 3
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