A 2.00-nF capacitor with an initial charge of 5.27 µC is discharged through a 2.47-kN resistor. (a) Calculate the current in the resistor 9.00 us after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that > 0.) dt -172500 How is the instantaneous current related to the potential difference across the capacitor? mA (b) What charge remains on the capacitor after 8.00 us? 1.042 (c) What is the (magnitude of the) maximum current in the resistor? 1.067

Principles of Physics: A Calculus-Based Text
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Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 55P
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A 2.00-nF capacitor with an initial charge of 5.27 µC is discharged through a 2.47-k2 resistor.
(a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that e > 0.)
dt
|-172500
How is the instantaneous current related to the potential difference across the capacitor? mA
(b) What charge remains on the capacitor after 8.00 µs?
1.042
µC
(c) What is the (magnitude of the) maximum current in the resistor?
1.067
A
Transcribed Image Text:A 2.00-nF capacitor with an initial charge of 5.27 µC is discharged through a 2.47-k2 resistor. (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that e > 0.) dt |-172500 How is the instantaneous current related to the potential difference across the capacitor? mA (b) What charge remains on the capacitor after 8.00 µs? 1.042 µC (c) What is the (magnitude of the) maximum current in the resistor? 1.067 A
Consider the circuit shown in the figure, where E,
22.7 V, E, = 12.3 V, and R = 14.0 Q. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including
%3D
answers submitted in WebAssign.)
28.0 N
+
E2
12.0 N
+
R
(a) What is the current (in A) in each resistor?
.2193
11
Apply Kirchhoff's junction and loop rules to the circuit to find three separate equations in terms of the unknown currents, and solve your system for I,, I, and/or I2.
A
I2
Apply Kirchhoff's junction and loop rules to the circuit to find three separate equations in terms of the unknown currents, and solve your system for I,, I,, and/or I3.
.355
=
A
I3
Apply Kirchhoff's junction and loop rules to the circuit to find three separate equations in terms of the unknown currents, and solve your system for I,, I, and/or I2. A
.5743
(b) What is the power (in W) delivered to each resistor?
P1
1.3466
Apply the equation relating power, resistance, and current, and use your results from part (a) to calculate the power delivered to each resistor. W
P2
Apply the equation relating power, resistance, and current, and use your results from part (a) to calculate the power delivered to each resistor. W
1.5123
P3
Apply the equation relating power, resistance, and current, and use your results from part (a) to calculate the power delivered to each resistor. W
4.6175
(c) What is the total power (in W) supplied by both batteries?
9.3446
Transcribed Image Text:Consider the circuit shown in the figure, where E, 22.7 V, E, = 12.3 V, and R = 14.0 Q. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including %3D answers submitted in WebAssign.) 28.0 N + E2 12.0 N + R (a) What is the current (in A) in each resistor? .2193 11 Apply Kirchhoff's junction and loop rules to the circuit to find three separate equations in terms of the unknown currents, and solve your system for I,, I, and/or I2. A I2 Apply Kirchhoff's junction and loop rules to the circuit to find three separate equations in terms of the unknown currents, and solve your system for I,, I,, and/or I3. .355 = A I3 Apply Kirchhoff's junction and loop rules to the circuit to find three separate equations in terms of the unknown currents, and solve your system for I,, I, and/or I2. A .5743 (b) What is the power (in W) delivered to each resistor? P1 1.3466 Apply the equation relating power, resistance, and current, and use your results from part (a) to calculate the power delivered to each resistor. W P2 Apply the equation relating power, resistance, and current, and use your results from part (a) to calculate the power delivered to each resistor. W 1.5123 P3 Apply the equation relating power, resistance, and current, and use your results from part (a) to calculate the power delivered to each resistor. W 4.6175 (c) What is the total power (in W) supplied by both batteries? 9.3446
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