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9. Consider the circuit of Figure P8.9, in which R = 100 Q and R, =...
Consider the circuit shown in
(Figure
1)
, where all resistors have the same resistance R.
At
t=0,
with the capacitor C
uncharged, the switch is closed.At
t=0,
the three currents can be determined by analyzing a simpler, but
equivalent, circuit. Identify this simpler circuit and use it to
find the values of
I1
,
I2,
and
I3
at
t=0.
Consider the circuit shown in (Figure 1) , where all resistors have the same resistance R. At t=0, with the...
22. For the circuit of Figure P9.22, L = 0.04 H, C = 2.5 mF, and R= 102. (a) Find the value of R (in ohms) that makes the circuit of Figure P9.22 crit- ically damped. (b) Given this value of R, suppose vc(0) = 160 mV and i (0) = -60 mA. Compute vcſt). (c) Determine the first time at which the capacitor voltage is zero. Plot your result using MATLAB or the equiva- lent to verify your calculation....
Learning Goal: To understand the dynamics of a series R-C circuit. Consider a series circuit containing a resistor of resistance R and a capacitor of capacitance C connected to a source of EMF ε with negligible internal resistance. The wires are also assumed to have zero resistance. Initially, the switch is open and the capacitor discharged. (Figure 1)Let us try to understand the processes that take place after the switch is closed. The charge of the capacitor, the current in...
Consider the circuit in figure 4: An electro motoric force epsilon results in a current throughout the circuit. The blue resistors has a resistance of R, and the green has a resistance of 3R. The capacitor has capacitance C. The contact at point a is not connected in the first question. a) Find the total current through the circuit At time t = 0 the contact at point a is connected, as illustrated by figure 5. b) Find the charge...
Consider the circuit of Figure 1. The voltage source Vs and
resistance Rs comprise a circuit model of a function
generator.
Find the circuit time constant τ for t≥0. Assuming that the
capacitor is initially uncharged, find and accurately sketch vR(t)
and vC(t) for t≥0. Calculate vR(t) and vC(t) for t = 0, τ, 2τ, 3τ,
4τ, and 5τ seconds.
Find the 10-90% rise time of vC(t) (this is the time required for
vC(t) to transition from 10% (0.5V) to...
Figure 3: RC circuit where, VB = 5.00V , and C = 3.5mF Consider
the circuit in Figure 3, where,VB = 5.00V , and C = 3.5mF .
a) What should be the resistance of the resistor, such that the
capacitor charges in to 75% its max charge in a time t = 72.8s?
b) The instant the switch is closed, where is the vast majority
of the potential dropped? Explain.
c) How much work is needed to charge the...
Question 4: RC Circuit: a) Charging capacitor: A simple RC circuit is given in Figure 4a. The capacitor is empty initially and switch was open for a long time. 4E, (V) EMF is used to charge the capacitor as switch is closed at t=0s. By using Kirchhoff's voltage law and Ohm's law that you learned so far, analyze this circuit and find the unknowns given below. 1)At t=0s. draw the equivalent circuit and find v. (Os), i. (Os), i (Os),...
Consider a series RC circuit as in the figure below for
which R = 3.00 MΩ, C = 4.00 µF, and ε =
31.0 V.
(a) Find the time constant of the circuit.
(b) What is the maximum charge on the capacitor after the switch
is thrown closed?
(c) Find the current in the resistor 10.0 s after the switch is
closed.
S CE R w + 3
Consider the circuit of Figure 1. The voltage source vs and
resistance Rs comprise a circuit model of a function generator.
1. Find the circuit time constant ? for t?0. Assuming that the
capacitor is initially uncharged, find and accurately sketch vR(t)
and vC(t) for t?0. Calculate vR(t) and vC(t) for t = 0, ?, 2?, 3?,
4?, and 5? seconds.
2. Find the 10-90% rise time of vC(t) (this is the time required
for vC(t) to transition from 10%...
Consider a series RC circuit as in the figure below for which R = 7.00 M12, C = 4.00 uF, and ε = 35.0 V. c: R + E (a) Find the time constant of the circuit. S (b) What is the maximum charge on the capacitor after the switch is thrown closed? μα (c) Find the current in the resistor 10.0 s after the switch is closed. РА