CAPA 9 winter 2014 MOORE
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
1
Notes: 1. To submit a problem, just click the ”Submit” button under it.
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
2
Consider the following circuit:
The ”Submit All” button is not necessary. 2. A problem accepted as correct by CAPA will be highlighted in green. Once you see this, your problem has been submitted and accepted as correct.
3. If you are trying to obtain the correct number of significant digits, use the ’E’ notation. I.e. 44+56 = 100. is wrong, but 45 + 56 = 1.0e2 is right in the number of significant digits. 4. Use period ”.” to denote decimal point. comma ”,” doesn’t work here.
5. You are encouraged to solve all the problems independently. For questions about the assignment itself, please consult one of your tutors. If you have any questions about the capa system, don’t hesitate to contact [email protected], i’ll be glad to help you.
Good Luck!
Problem 1
Here R1 = 5.0 Ω, R2 = 4.0 Ω, R3 = 6.0 Ω, L1 = 3.9 mH, L2 = 2.0 mH, L3 = 3.5 mH, C1 = 3.5 µF , C2 = 3.7 µF , C3 = 4.4 µF .
a) What is the effective resistance of the three resistors? You are correct. Your receipt is 151-7343 b) What is the effective inductance of the three inductors? You are correct. Your receipt is 151-1449 c) What is the effective capacitance of the three capacitors? (For µF enter ”mu F”) You are correct. Your receipt is 151-8121 d)What is the resonant frequency of the circuit? You are correct. Your receipt is 151-361 e) If the circuit is driven on resonance by an oscillating voltage with peak voltage V0 = 55 V , what is the peak voltage across L1 ? You are correct. Your receipt is 151-754 Problem 2
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
3
A 1.33 µF capacitor is charged by a 41.0 V power supply. The fully-charged capacitor is then discharged through a 12.5 mH inductor. Calculate the maximum current in the resulting oscillations. You are correct. Your receipt is 151-8855 Problem 3
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
4
Problem 4
A 2.90 H coil with a resistance of 1.75 × 102 Ω is in series with a 1.53 × 103 Ω resistor. This circuit is connected to an AC voltage source that gives 1.20 × 102 V (rms) at 1.95 × 102 Hz. a) What is the rms value of the potential difference across the resistor? Problem Weight is: 1 You are correct. Your receipt is 151-2503 b) What is the peak value of the potential difference across the coil? Problem Weight is: 1 You are correct. Your receipt is 151-4933 Problem 5 Consider a series RC circuit with R = 179. Ω and an unknown capacitor C as shown below.
a) Regarding the diagram above, which of the following statements are true? Assume that the circuit is not at resonance. (For each statement select True or False). Choices: True, False. A. The current through the inductor always equals the current through the capacitor. B. Energy is dissipated in the resistor but not in either the capacitor or the inductor. C. The current through the inductor is the same as the current through the resistor at all times. D. The voltage drop across the resistor is the same as the voltage drop across the inductor at all times.
The circuit is driven by an AC emf with εrms = 175. V at a frequency of f = 7.60 Hz. The current in the circuit is Irms = 0.270 A. Calculate the capacitance C. Problem Weight is: 1
You are correct. Your receipt is 151-5837 b) Choose the value for the inductance L such that the above circuit carries the largest current. DATA: R = 2.90E+2 ohm. f = 1.83E+3 Hz. C = 6.10E-3 F. Vrms = 75 V . You are correct. Your receipt is 151-2040 c) Using the inductance found in the previous problem, what is the impedance seen by the voltage source? You are correct. Your receipt is 151-2356
You are correct. Your receipt is 151-4923 Problem 6
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
5
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
6
Consider a series LCR circuit with R = 90.0 Ω and L = 0.200 H, driven by a sinusoidal emf with εrms = 6.80 V at frequency f = 250. Hz. The sinusoidal current leads the emf by 54.0◦ .
The picture above shows an LRC circuit driven by a sinusoidal voltage source with frequency f . The voltage and current are ε and I, respectively, and the resonant frequency is fR . Which of the following statements are true? a) Calculate the capacitance C. A. B. C. D. E. F. G.
Choices: True, False. If f > fR , then XC > XL . If f = fR , then ε leads I by exactly 90 degrees. If f = fR , then P = εrms Irms . If f > fR then ε leads I. For any f , Irms = εrms /Z. For fixed ε, I is largest when f = fR . For any f , P = εrms Irms .
Problem Weight is: 1 You are correct. Your receipt is 151-8216 b) What is the rms current in the circuit? Problem Weight is: 1 You are correct. Your receipt is 151-8065 c) If the frequency of the emf is changed to the resonant frequency of the circuit, what is the rms current?
Problem Weight is: 1 Problem Weight is: 1 You are correct. Your receipt is 151-8889
You are correct. Your receipt is 151-7413
Problem 7
Problem 8
To determine the inductance of a coil used in a research project, a student first connects the coil to a 9 V battery and measures a current of 0.696 A. The student then connects the coil to a 24.0 V (rms), 57.6 Hz generator and measures an rms current of 0.508 A. What is the inductance? You are correct. Your receipt is 151-7956
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
7
Problem Set End. You do not need to hit the ”Submit All” button below this line if you have already clicked ”submit” for each individual field.
c Printed from LON-CAPA MSU
Licensed under GNU General Public License
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
8
1
Notes: 1. To submit a problem, just click the ”Submit” button under it.
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
2
Consider the following circuit:
The ”Submit All” button is not necessary. 2. A problem accepted as correct by CAPA will be highlighted in green. Once you see this, your problem has been submitted and accepted as correct.
3. If you are trying to obtain the correct number of significant digits, use the ’E’ notation. I.e. 44+56 = 100. is wrong, but 45 + 56 = 1.0e2 is right in the number of significant digits. 4. Use period ”.” to denote decimal point. comma ”,” doesn’t work here.
5. You are encouraged to solve all the problems independently. For questions about the assignment itself, please consult one of your tutors. If you have any questions about the capa system, don’t hesitate to contact [email protected], i’ll be glad to help you.
Good Luck!
Problem 1
Here R1 = 5.0 Ω, R2 = 4.0 Ω, R3 = 6.0 Ω, L1 = 3.9 mH, L2 = 2.0 mH, L3 = 3.5 mH, C1 = 3.5 µF , C2 = 3.7 µF , C3 = 4.4 µF .
a) What is the effective resistance of the three resistors? You are correct. Your receipt is 151-7343 b) What is the effective inductance of the three inductors? You are correct. Your receipt is 151-1449 c) What is the effective capacitance of the three capacitors? (For µF enter ”mu F”) You are correct. Your receipt is 151-8121 d)What is the resonant frequency of the circuit? You are correct. Your receipt is 151-361 e) If the circuit is driven on resonance by an oscillating voltage with peak voltage V0 = 55 V , what is the peak voltage across L1 ? You are correct. Your receipt is 151-754 Problem 2
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
3
A 1.33 µF capacitor is charged by a 41.0 V power supply. The fully-charged capacitor is then discharged through a 12.5 mH inductor. Calculate the maximum current in the resulting oscillations. You are correct. Your receipt is 151-8855 Problem 3
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
4
Problem 4
A 2.90 H coil with a resistance of 1.75 × 102 Ω is in series with a 1.53 × 103 Ω resistor. This circuit is connected to an AC voltage source that gives 1.20 × 102 V (rms) at 1.95 × 102 Hz. a) What is the rms value of the potential difference across the resistor? Problem Weight is: 1 You are correct. Your receipt is 151-2503 b) What is the peak value of the potential difference across the coil? Problem Weight is: 1 You are correct. Your receipt is 151-4933 Problem 5 Consider a series RC circuit with R = 179. Ω and an unknown capacitor C as shown below.
a) Regarding the diagram above, which of the following statements are true? Assume that the circuit is not at resonance. (For each statement select True or False). Choices: True, False. A. The current through the inductor always equals the current through the capacitor. B. Energy is dissipated in the resistor but not in either the capacitor or the inductor. C. The current through the inductor is the same as the current through the resistor at all times. D. The voltage drop across the resistor is the same as the voltage drop across the inductor at all times.
The circuit is driven by an AC emf with εrms = 175. V at a frequency of f = 7.60 Hz. The current in the circuit is Irms = 0.270 A. Calculate the capacitance C. Problem Weight is: 1
You are correct. Your receipt is 151-5837 b) Choose the value for the inductance L such that the above circuit carries the largest current. DATA: R = 2.90E+2 ohm. f = 1.83E+3 Hz. C = 6.10E-3 F. Vrms = 75 V . You are correct. Your receipt is 151-2040 c) Using the inductance found in the previous problem, what is the impedance seen by the voltage source? You are correct. Your receipt is 151-2356
You are correct. Your receipt is 151-4923 Problem 6
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
5
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
6
Consider a series LCR circuit with R = 90.0 Ω and L = 0.200 H, driven by a sinusoidal emf with εrms = 6.80 V at frequency f = 250. Hz. The sinusoidal current leads the emf by 54.0◦ .
The picture above shows an LRC circuit driven by a sinusoidal voltage source with frequency f . The voltage and current are ε and I, respectively, and the resonant frequency is fR . Which of the following statements are true? a) Calculate the capacitance C. A. B. C. D. E. F. G.
Choices: True, False. If f > fR , then XC > XL . If f = fR , then ε leads I by exactly 90 degrees. If f = fR , then P = εrms Irms . If f > fR then ε leads I. For any f , Irms = εrms /Z. For fixed ε, I is largest when f = fR . For any f , P = εrms Irms .
Problem Weight is: 1 You are correct. Your receipt is 151-8216 b) What is the rms current in the circuit? Problem Weight is: 1 You are correct. Your receipt is 151-8065 c) If the frequency of the emf is changed to the resonant frequency of the circuit, what is the rms current?
Problem Weight is: 1 Problem Weight is: 1 You are correct. Your receipt is 151-8889
You are correct. Your receipt is 151-7413
Problem 7
Problem 8
To determine the inductance of a coil used in a research project, a student first connects the coil to a 9 V battery and measures a current of 0.696 A. The student then connects the coil to a 24.0 V (rms), 57.6 Hz generator and measures an rms current of 0.508 A. What is the inductance? You are correct. Your receipt is 151-7956
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
7
Problem Set End. You do not need to hit the ”Submit All” button below this line if you have already clicked ”submit” for each individual field.
c Printed from LON-CAPA MSU
Licensed under GNU General Public License
Mlanie LaRoche-Boisvert - Electromagnetism Electromagnetism and Optics - Winter 2014 - PH
8
