How much energy will be dissipated when the switch in the circuit in Fig. 2P.1 is closed. 2.3 R C, = 60 µF C2 = 40 µF R=50 Fig. 2P.1. The capacitor C, in Fig. 2P.1 has an initial charge of 1.0 C; C, is discharged. Calculate the following: a. The peak current b. The current 200 us after the switch closes c. The ultimate energy stored in C, d. The ultimate voltage on C,

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2.3 How much energy will be dissipated when the switch in the circuit in
Fig. 2P.1 is closed.
R
C, = 60 µF
C, = 40 µF
C2
R = 5 0
Fig. 2P.1.
The capacitor C, in Fig. 2P.1 has an initial charge of 1.0 C; C is
discharged. Calculate the following:
a. The peak current
b. The current 200 us after the switch closes
c. The ultimate energy stored in C2
d. The ultimate voltage on C,
2.4 If the resistor in Problem 2.3 is replaced by an inductor with the same
60 Hz reactance, calculate the following, once the switch is closed:
a. The instantaneous current
b. The peak current
c. The energy stored in the inductance 1 ms after the switch is closed
d. The energy stored in C, at the same instant.
2.5 Show that if one capacitor is discharged into another through a
resistor, the energy dissipated in the resistor is independent of the
value of the resistor.
2.6 Each phase of a 3-phase capacitor bank is rated 60 MVA at 13.8/
V3 kV. A second bank has a rating of 30 MVA at 13.8/V3 kV. The two
are to be paralled by momentarily connecting them through a 100 N
stainless steel resistor (one for each phase), which will be subsequently
shorted out. You are to design these resistors (determine the length
and cross-sectional area of the wire to be used) if the temperature rise
of a resistor is not to exceed 200C, when the switching operation is
made at a time when one capacitor is at positive peak voltage and the
other at negative peak voltage.
Transcribed Image Text:2.3 How much energy will be dissipated when the switch in the circuit in Fig. 2P.1 is closed. R C, = 60 µF C, = 40 µF C2 R = 5 0 Fig. 2P.1. The capacitor C, in Fig. 2P.1 has an initial charge of 1.0 C; C is discharged. Calculate the following: a. The peak current b. The current 200 us after the switch closes c. The ultimate energy stored in C2 d. The ultimate voltage on C, 2.4 If the resistor in Problem 2.3 is replaced by an inductor with the same 60 Hz reactance, calculate the following, once the switch is closed: a. The instantaneous current b. The peak current c. The energy stored in the inductance 1 ms after the switch is closed d. The energy stored in C, at the same instant. 2.5 Show that if one capacitor is discharged into another through a resistor, the energy dissipated in the resistor is independent of the value of the resistor. 2.6 Each phase of a 3-phase capacitor bank is rated 60 MVA at 13.8/ V3 kV. A second bank has a rating of 30 MVA at 13.8/V3 kV. The two are to be paralled by momentarily connecting them through a 100 N stainless steel resistor (one for each phase), which will be subsequently shorted out. You are to design these resistors (determine the length and cross-sectional area of the wire to be used) if the temperature rise of a resistor is not to exceed 200C, when the switching operation is made at a time when one capacitor is at positive peak voltage and the other at negative peak voltage.
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