The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed
The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed
a) What is the time constant for this circuit?
b) What is the final voltage across the 50 capacitor?
c) What is the expression for the voltage across the 50 capacitor?
d) Sketch the waveform for .
e) What is the maximum instantaneous current that will flow through the capacitor?
f) When will the voltage reach 5.0 V?
Homework Answers
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The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed
The capacitor in the circuit is initially uncharged, when at t = 0 s, the switch is closed. At what time is the voltage across the capacitor equal to 7.5 V?
The capacitor in the circuit is initially uncharged, when at t = 0 s, the switch is closed. At what time is the voltage across the capacitor equal to 7.5 V?
9. For the given circuit, if the initial voltage across the capacitor is vc(0*) = 0,...
9. For the given circuit, if the initial voltage across the capacitor is vc(0*) = 0, find an expression for the voltrage across the capacitor as a function of time and graph voltage versus time. R= 100 k2 w v=100 V uc) C = 0.01 uF 10. If a 100-F capacitance is initially charged to 1000V and at t=0, it is connected to a 1-ka resistance, at what time has 50 percent of the initial energy stored in the capacitance...
An RLC circuit has an initial voltage across the capacitor and polarity as marked on the...
An RLC circuit has an initial voltage across the capacitor and
polarity as marked on the circuit shown below. The switch is closed
at t = 0 and a current i(t) is assumed to flow clockwise in the
circuit. Determine which expression correctly represents the
Laplace-transformed value of current, i(s). Note that the
coefficient of the highest power of s in the denominator may have
to be made unity.
(TCO 2) An RLC circuit has an initial voltage across the...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
An RC circuit is connected across a DC voltage source through an open switch. The switch...
An RC circuit is connected across a DC voltage source through an open switch. The switch is closed at t = 0 s. Which of the following is a correct statement regarding the circuit? The capacitor charges to its maximum value in one time constant. The resistor and the capacitor share the applied voltage equally as a function of time. The current flows through the circuit even after the capacitor is fully charged. Once the capacitor is fully charged, there...
Learning Goal: To analyze an RC circuit to determine the initial voltage across a capacitor, the...
Learning Goal: To analyze an RC circuit to determine the initial voltage across a capacitor, the time constant, and the expression for the natural response of the capacitor voltage, and then to find other circuit quantities such as current,voltage, power, or energy. The natural response of an RC circuit is the response of the capacitor voltage to the sudden removal of a DC source. When this occurs, the capacitor releases its stored energy Figure < 10121〉 t 0 V. Figure...
What is the voltage across the capacitor immediately after the switch S is closed? At that...
What is the voltage across the capacitor immediately after the
switch S is closed? At that instant,
what current flows out of the battery?
100 10.02 12.0 V' C= 1.5uF ২9.02 5.0 )
a.) Consider the circuit below. Assume that the capacitor is fully discharged prior to t=0. The switch is closed at t=0...
a.) Consider the circuit below. Assume that the capacitor is
fully discharged prior to t=0. The switch is closed at t=0
connecting the voltage source to the rest of the circuit. What is
the steady-state value of the voltage across the capacitor, VC(t),
after the switch is closed for a long time? Put your answer in the
box below, without the units (Volts).
b.) What is the time constant, ?, in ?s of the circuit in this
question.
c.) What...
7.55 The switch in the circuit of Fig. P 7.55 has been in position a for a long time. At t- 0 the switch is moved to position b. Calculate (a) the initial voltage on the capacitor; (b) the final volt...
The switch in the circuit of Fig. P 7.55 has been in position a for a long time. At t- 0 the switch is moved to position b. Calculate (a) the initial voltage on the capacitor; (b) the final voltage on the capacitor; (c) the time constant (in microseconds) for t > 0; and (d) the length of time (in microseconds) required for the capacitor voltage to reach zero after the switch is moved to position b.
Consider the circuit depicted in Fig. 2. The switch SW1 has been closed for a long time before it...
Consider the circuit depicted in Fig. 2. The switch SW1 has been closed for a long time before it is opened at time t = 0. The switch SW2 has been open for a long time before it is closed att = 0.1 (sec). i) Find the initial current I(0) flowing in the inductor and the initial voltage V(0) across the capacitor. ii) Find the voltage V(t) across the capacitor and the current I(t) through the inductor for 0 ≤ t ≤...
9. For the given circuit, if the initial voltage across the capacitor is vc(0*) = 0, find an expression for the voltrage across the capacitor as a function of time and graph voltage versus time. R= 100 k2 w v=100 V uc) C = 0.01 uF 10. If a 100-F capacitance is initially charged to 1000V and at t=0, it is connected to a 1-ka resistance, at what time has 50 percent of the initial energy stored in the capacitance...
An RLC circuit has an initial voltage across the capacitor and
polarity as marked on the circuit shown below. The switch is closed
at t = 0 and a current i(t) is assumed to flow clockwise in the
circuit. Determine which expression correctly represents the
Laplace-transformed value of current, i(s). Note that the
coefficient of the highest power of s in the denominator may have
to be made unity.
(TCO 2) An RLC circuit has an initial voltage across the...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
Learning Goal: To analyze an RC circuit to determine the initial voltage across a capacitor, the time constant, and the expression for the natural response of the capacitor voltage, and then to find other circuit quantities such as current,voltage, power, or energy. The natural response of an RC circuit is the response of the capacitor voltage to the sudden removal of a DC source. When this occurs, the capacitor releases its stored energy Figure < 10121〉 t 0 V. Figure...
What is the voltage across the capacitor immediately after the
switch S is closed? At that instant,
what current flows out of the battery?
100 10.02 12.0 V' C= 1.5uF ২9.02 5.0 )
a.) Consider the circuit below. Assume that the capacitor is
fully discharged prior to t=0. The switch is closed at t=0
connecting the voltage source to the rest of the circuit. What is
the steady-state value of the voltage across the capacitor, VC(t),
after the switch is closed for a long time? Put your answer in the
box below, without the units (Volts).
b.) What is the time constant, ?, in ?s of the circuit in this
question.
c.) What...
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