Homework Answers
By KVL across second loop,
q/C - iR - Vb = 0
q/C - R*dq/dt - Vb = 0
dq/dt = q/RC - Vb/R
dq/[q/RC - Vb/R] = dt
after integrating
RC* ln(q/RC - Vb/R) = t
After applying the limit that q at t=0 will be CVa and at some time t it will be CV,
CV/RC - Vb/R)/(CVa/RC - Vb/R) = e^(-t/RC)
(V - Vb)/(Va - Vb) = e^(-t/RC)
V = Vb + (Va - Vb)e^(-t/RC)
Add Answer to:
8. Consider the circuit from question 3. Relabel the battery as Va and then change the...
(12 pts) In the circuit below the capacitor is fully charged to 12.0 V. Switch S...
(12 pts) In the circuit below the capacitor is fully charged to 12.0 V. Switch S is next flipped down for discharge of the capacitor. (a) Show the new switch position on the diagram and the current flow direction during discharge. (b) Sketch the voltage Vc across the capacitor C (during discharge) as a function of time t on the graph below. (c) Calculate the time constant for the discharge from the given R and C values. 8. Graph of...
Problem 7 A resistor with resistance R, battery with voltage AV, capacitor with capacitance C, and...
Problem 7 A resistor with resistance R, battery with voltage AV, capacitor with capacitance C, and switch are connected in series. The switch is closed at t = 0. The time constant of the circuit is T. What is the initial voltage across the resistor immediately after the student is closed? Select One of the Following: (a) o (b) AV (c) TAV (d) AV/T (e) AV/(R+C) Problem 8 A capacitor is charged to potential difference V and then allowed to...
Question 3 0/1 pts Consider the circuit shown. The switch is initially open and the capacitor...
Question 3 0/1 pts Consider the circuit shown. The switch is initially open and the capacitor completely discharged. All resistors have a resistance R and the capacitor has a capacitance C. The battery is ideal and provides a potential V The switch is closed at time 0, allowing current to flow. Which graph most appropriately represents the current through the battery (indicated by an arrow) as a function of time? Time VIR VIR Time
In the circuit of the figure below, the battery emf e m f is 60 V,...
In the circuit of the figure
below, the battery emf e m f is 60 V, the resistance R is 150 Ω,
and the capacitance C is 0.500 µF. The switch S is closed for a
long time interval, and zero potential difference is measured
across the capacitor. After the switch is opened, the potential
difference across the capacitor reaches a maximum value of 150 V.
What is the value of the inductance?
In the circuit of the figure below,...
ln the figure below you see a circuit with a battery (V), a capacitor (C), and...
ln the figure below you see a circuit with a battery (V), a
capacitor (C), and two resistors (R1 and R2). The circuit has a
switch that can be in two positions: switched to touch point A or
switched to touch point B. By setting first the switch to A you can
charge the capacitor, and then switching it to B you discharge the
capacitor through the resistor. (This is the simple mechanism
behind a camera flash, you can imagine...
r R ε с [7 points] 14. In the circuit shown above a battery with emf...
r R ε с [7 points] 14. In the circuit shown above a battery with emf & and internal resistance r may be connected to a capacitor C through switch S. The switch may also connect the capacitor to resistor R. The capacitor is initially uncharged. Express your final answers only in terms of the variables €.r.C, R, and any necessary constants, as appropriate. a) At time t = 0, the switch is moved from the right to the left....
Question 4a Consider the LRC circuit shown below. At 0, the switch S is closed and a voltage Va-V...
Question 4a Consider the LRC circuit shown below. At 0, the switch S is closed and a voltage Va-Vr = Vo cos wt is applied between A and F A -000i R. The equation describing the evolution of Q(t), the charge on the capacitor is CGiven Q0) amd #(o) - 0), the geteral solution of 1) may be written as (0), the general solution of (1) may be written as where Qc(t) as t0o, so after a long time, 2L...
In the circuit of the figure below, the battery emf E is 50 V, the resistance...
In the circuit of the figure below, the battery emf E is 50 V, the resistance R is 210 Q, and the capacitance C is 0.500 pF. The switch S is closed for a long time interval, and zero potential difference is measured across the capacitor. After the switch is opened, the potential difference across the capacitor reaches a maximum value of 150 V. What is the value of the inductance? Н С
Problem Consider the circuit shown below, in which the switch instantaneously moves back and forth between...
Problem Consider the circuit shown below, in which the switch instantaneously moves back and forth between contacts A and B, spending 2 seconds in each position. Thus, the capacitor repeatedly charges for 2 seconds and then discharges for 2 seconds. Assume that uc (0)-0 V and the switch moves to position A at -0s. a) Find the voltage across the capacitor vc for t = 2 s, t = 4 s, t = 6 s, and t b) Sketch vc...
Question B2 Figure 8 shows a DC electric circuit with a 2-way switch. The capacitor is...
Question B2 Figure 8 shows a DC electric circuit with a 2-way switch. The capacitor is initially not charged. At t= Os, switch is at position and the capacitor is then charged up 1000 Position1 RT Position2 (20V R 500 0.02F (NV Figure 8 (a) Whent > sec, the capacitor is charged through R, to steady state, 0 Find the complete response of y(t) fort > 0s. (5 marks) (m) Sketch the response of (t) for t> Os. (3 marks)...
(12 pts) In the circuit below the capacitor is fully charged to 12.0 V. Switch S is next flipped down for discharge of the capacitor. (a) Show the new switch position on the diagram and the current flow direction during discharge. (b) Sketch the voltage Vc across the capacitor C (during discharge) as a function of time t on the graph below. (c) Calculate the time constant for the discharge from the given R and C values. 8. Graph of...
Problem 7 A resistor with resistance R, battery with voltage AV, capacitor with capacitance C, and switch are connected in series. The switch is closed at t = 0. The time constant of the circuit is T. What is the initial voltage across the resistor immediately after the student is closed? Select One of the Following: (a) o (b) AV (c) TAV (d) AV/T (e) AV/(R+C) Problem 8 A capacitor is charged to potential difference V and then allowed to...
Question 3 0/1 pts Consider the circuit shown. The switch is initially open and the capacitor completely discharged. All resistors have a resistance R and the capacitor has a capacitance C. The battery is ideal and provides a potential V The switch is closed at time 0, allowing current to flow. Which graph most appropriately represents the current through the battery (indicated by an arrow) as a function of time? Time VIR VIR Time
In the circuit of the figure
below, the battery emf e m f is 60 V, the resistance R is 150 Ω,
and the capacitance C is 0.500 µF. The switch S is closed for a
long time interval, and zero potential difference is measured
across the capacitor. After the switch is opened, the potential
difference across the capacitor reaches a maximum value of 150 V.
What is the value of the inductance?
In the circuit of the figure below,...
ln the figure below you see a circuit with a battery (V), a
capacitor (C), and two resistors (R1 and R2). The circuit has a
switch that can be in two positions: switched to touch point A or
switched to touch point B. By setting first the switch to A you can
charge the capacitor, and then switching it to B you discharge the
capacitor through the resistor. (This is the simple mechanism
behind a camera flash, you can imagine...
r R ε с [7 points] 14. In the circuit shown above a battery with emf & and internal resistance r may be connected to a capacitor C through switch S. The switch may also connect the capacitor to resistor R. The capacitor is initially uncharged. Express your final answers only in terms of the variables €.r.C, R, and any necessary constants, as appropriate. a) At time t = 0, the switch is moved from the right to the left....
Question 4a Consider the LRC circuit shown below. At 0, the switch S is closed and a voltage Va-Vr = Vo cos wt is applied between A and F A -000i R. The equation describing the evolution of Q(t), the charge on the capacitor is CGiven Q0) amd #(o) - 0), the geteral solution of 1) may be written as (0), the general solution of (1) may be written as where Qc(t) as t0o, so after a long time, 2L...
In the circuit of the figure below, the battery emf E is 50 V, the resistance R is 210 Q, and the capacitance C is 0.500 pF. The switch S is closed for a long time interval, and zero potential difference is measured across the capacitor. After the switch is opened, the potential difference across the capacitor reaches a maximum value of 150 V. What is the value of the inductance? Н С
Problem Consider the circuit shown below, in which the switch instantaneously moves back and forth between contacts A and B, spending 2 seconds in each position. Thus, the capacitor repeatedly charges for 2 seconds and then discharges for 2 seconds. Assume that uc (0)-0 V and the switch moves to position A at -0s. a) Find the voltage across the capacitor vc for t = 2 s, t = 4 s, t = 6 s, and t b) Sketch vc...
Question B2 Figure 8 shows a DC electric circuit with a 2-way switch. The capacitor is initially not charged. At t= Os, switch is at position and the capacitor is then charged up 1000 Position1 RT Position2 (20V R 500 0.02F (NV Figure 8 (a) Whent > sec, the capacitor is charged through R, to steady state, 0 Find the complete response of y(t) fort > 0s. (5 marks) (m) Sketch the response of (t) for t> Os. (3 marks)...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago