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the wires, a changing electric field E exists between the plates of the сараcitor. The electric fiekd lines between the plates create an electric flux through murface S. Avc Au = AVay sin(ot) SOLUTION Conceptualize Figure (a) represents the circuit diagram for this situation. Figure (b) shows a close-up of the capacitor and the electric field between the plates. In figure (b), in which direction is the current flowing? O downward O upward Categorize We determine results using equations discussed in this section, so we categorize this example as ---Select- problem. Analyze (Use the following as necessary: w, AVmax C, and t.) Evaluate the angular frequency (in rad/s) of the source from w = 2xf: w = 2xf = rad/s Use Av, = AVmay sin(@t) to express the potential difference in volts across the capacitor as a function of time in seconds (Enter the angular frequency in rad/s): Avc = AVmax sin(ot) = 30.0 sin Use I, = 4 to find the displacement current in amperes as a function of time. Note that the charge on the capacitor is dt = (C Av) = c(AVmax sin(at)) dt Substitute numerical values to find i, (in A) in terms oft (Do not include units in your answer.): EXERCISE If a 11.0 pF capacitor is connected in series to the original one, what is the maximum displacement current (in A) in the new capacitor?

the wires, a changing electric field E exists between the plates of the сараcitor. The electric fiekd lines between the plates create an electric flux through murface S. Avc Au = AVay sin(ot) SOLUTION Conceptualize Figure (a) represents the circuit diagram for this situation. Figure (b) shows a close-up of the capacitor and the electric field between the plates. In figure (b), in which direction is the current flowing? O downward O upward Categorize We determine results using equations discussed in this section, so we categorize this example as ---Select- problem. Analyze (Use the following as necessary: w, AVmax C, and t.) Evaluate the angular frequency (in rad/s) of the source from w = 2xf: w = 2xf = rad/s Use Av, = AVmay sin(@t) to express the potential difference in volts across the capacitor as a function of time in seconds (Enter the angular frequency in rad/s): Avc = AVmax sin(ot) = 30.0 sin Use I, = 4 to find the displacement current in amperes as a function of time. Note that the charge on the capacitor is dt = (C Av) = c(AVmax sin(at)) dt Substitute numerical values to find i, (in A) in terms oft (Do not include units in your answer.): EXERCISE If a 11.0 pF capacitor is connected in series to the original one, what is the maximum displacement current (in A) in the new capacitor?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Displacement Current in a Capacitor A sinusoidally varying voltage is applied across a capacitor as shown in figure (a). The capacitance is C = 3.28 µF, the frequency of the applied voltage is f = 3.00 kHz, and the voltage amplitude is AVmay = 30.0 V. Find the displacement current in the capacitor. When a conduction current exists in the wires, a changing electric field E exists between the plates of the сарacitor. The electric fiekd lines between the plates create an electric flux through surface S. Avc- Au = AVmay sin(wt) SOLUTION Conceptualize Figure (a) represents the circuit diagram for this situation. Figure (b) shows a close-up of the capacitor and the electric field between the plates. In figure (b), in which direction is the current flowing? O downward O upward Categorize We determine results using equations discussed in this section, so we categorize this example as --Select- problem. Analyze (Use the following as necessary: w, AVmay, C, and t.) max' Evaluate the angular frequency (in rad/s) of the source from w = 2xf: 3D w = 2xf = | |rad/s Use Avc = AVmay sin(@t) to express the potential difference in volts across the capacitor as a function of time in seconds (Enter the angular frequency in rad/s): Avc = AVmax sin(ot) = 30.0 sin dq Use Ig to find the displacement current in amperes as a function of time. Note that the charge on the capacitor is dt q = CAvc: da - dC Av) = c(AVmax sin(wt)) dt dt Substitute numerical values to find i, (in A) in terms of t (Do not include units in your answer.): EXERCISE If a 11.0 µF capacitor is connected in series to the original one, what is the maximum displacement current (in A) in the new capacitor? Hint
Transcribed Image Text:Displacement Current in a Capacitor A sinusoidally varying voltage is applied across a capacitor as shown in figure (a). The capacitance is C = 3.28 µF, the frequency of the applied voltage is f = 3.00 kHz, and the voltage amplitude is AVmay = 30.0 V. Find the displacement current in the capacitor. When a conduction current exists in the wires, a changing electric field E exists between the plates of the сарacitor. The electric fiekd lines between the plates create an electric flux through surface S. Avc- Au = AVmay sin(wt) SOLUTION Conceptualize Figure (a) represents the circuit diagram for this situation. Figure (b) shows a close-up of the capacitor and the electric field between the plates. In figure (b), in which direction is the current flowing? O downward O upward Categorize We determine results using equations discussed in this section, so we categorize this example as --Select- problem. Analyze (Use the following as necessary: w, AVmay, C, and t.) max' Evaluate the angular frequency (in rad/s) of the source from w = 2xf: 3D w = 2xf = | |rad/s Use Avc = AVmay sin(@t) to express the potential difference in volts across the capacitor as a function of time in seconds (Enter the angular frequency in rad/s): Avc = AVmax sin(ot) = 30.0 sin dq Use Ig to find the displacement current in amperes as a function of time. Note that the charge on the capacitor is dt q = CAvc: da - dC Av) = c(AVmax sin(wt)) dt dt Substitute numerical values to find i, (in A) in terms of t (Do not include units in your answer.): EXERCISE If a 11.0 µF capacitor is connected in series to the original one, what is the maximum displacement current (in A) in the new capacitor? Hint
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