DATA You set up the circuit shown in Fig. 26.22a, where R = 196 Ω. You close the switch at time t = 0 and measure the magnitude i of the current in the resistor R as a function of time t since the switch was closed. Your results are shown in Fig. P26.80 . where you have chosen to plot In i as a function of t . (a) Explain why your data points lie close to a straight line, (b) Use the graph in Fig. P26.80 to calculate the capacitance C and the initial charge Q 0 on the capacitor, (c) When i = 0.0500 A, what is the charge on the capacitor? (d) When q = 0.500 × 10 −4 C, what is the current in the resistor? Figure P26.80
DATA You set up the circuit shown in Fig. 26.22a, where R = 196 Ω. You close the switch at time t = 0 and measure the magnitude i of the current in the resistor R as a function of time t since the switch was closed. Your results are shown in Fig. P26.80 . where you have chosen to plot In i as a function of t . (a) Explain why your data points lie close to a straight line, (b) Use the graph in Fig. P26.80 to calculate the capacitance C and the initial charge Q 0 on the capacitor, (c) When i = 0.0500 A, what is the charge on the capacitor? (d) When q = 0.500 × 10 −4 C, what is the current in the resistor? Figure P26.80
DATA You set up the circuit shown in Fig. 26.22a, where R = 196 Ω. You close the switch at time t = 0 and measure the magnitude i of the current in the resistor R as a function of time t since the switch was closed. Your results are shown in Fig. P26.80. where you have chosen to plot In i as a function of t. (a) Explain why your data points lie close to a straight line, (b) Use the graph in Fig. P26.80 to calculate the capacitance C and the initial charge Q0 on the capacitor, (c) When i = 0.0500 A, what is the charge on the capacitor? (d) When q = 0.500 × 10−4 C, what is the current in the resistor?
You connect a battery, resistor, and capacitor as in Fig. 26.20a, where E = 36.0 V, C = 5.00 mF, and R = 120 Ω. The switch S is closed at t = 0. (a) When the voltage across the capacitor is 8.00 V, what is the magnitude of the current in the circuit? (b) At what time t after the switch is closed is the voltage acrossthe capacitor 8.00 V? (c) When the voltage across the capacitor is 8.00 V, at what rate is energy being stored in the capacitor?
You connect a battery, resistor, and capacitor as in the figure, where R = 16.0 Ω and C = 8.00 ×10−6 F. The switch S is closed at t = 0. When the current in the circuit has magnitude 3.00 A, the charge on the capacitor is 40.0 × 10−6 C.
(a) What is the emf of the battery?
(b) At what time t after the switch is closed is the charge on the capacitor equal to 40.0×10−6 C?
(c) When the current has magnitude 3.00 A, at what rate is energy being stored in the capacitor?
(d) When the current has magnitude 3.00 A, at what rate is energy being supplied by the battery?
A 10 MΩ resistor is connected in series with a 1.0 μF capacitor and a battery with emf 12.0 V. Before the switch is closed at time t=0,the capacitor is uncharged. What fraction of the final charge Qf is on the capacitor at t=10s?
Chapter 26 Solutions
University Physics with Modern Physics (14th Edition)
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DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY