Q1. A capacitor consists of two circular plates of radius a separated by a distance d (assume d << a). The centre of each plate is connected to the terminals of a voltage source by a thin wire. a d TE +Q A switch in the circuit is closed at time t = 0 and a current I(t) flows in the circuit. The charge on the plate is related to the current according to I (t) calculating the electric field between the plates. Throughout this problem you may ignore edge effects. We assume that the electric field is zero for r > a. dq/dt. We begin by

Q1. A capacitor consists of two circular plates of radius a separated by a distance d (assume d << a). The centre of each plate is connected to the terminals of a voltage source by a thin wire. a d TE +Q A switch in the circuit is closed at time t = 0 and a current I(t) flows in the circuit. The charge on the plate is related to the current according to I (t) calculating the electric field between the plates. Throughout this problem you may ignore edge effects. We assume that the electric field is zero for r > a. dq/dt. We begin by

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Direct-current Circuits

Section: Chapter Questions

Problem 46AP: (a) Determine the equilibrium charge on the capacitor in the circuit of Figure P27.46 as a function...

See similar textbooks

Similar questions

The circuit shown in Figure P28.78 is set up in the laboratory to measure an unknown capacitance C in series with a resistance R = 10.0 M powered by a battery whose emf is 6.19 V. The data given in the table are the measured voltages across the capacitor as a function of lime, where t = 0 represents the instant at which the switch is thrown to position b. (a) Construct a graph of In (/v) versus I and perform a linear least-squares fit to the data, (b) From the slope of your graph, obtain a value for the time constant of the circuit and a value for the capacitance. v(V) t(s) In (/v) 6.19 0 5.56 4.87 4.93 11.1 4.34 19.4 3.72 30.8 3.09 46.6 2.47 67.3 1.83 102.2
(a) What is the average power output of a heart defibrillator that dissipates 400 J of energy in 10.0 ms? (b) Considering the high-power output, why doesn’t the defibrillator produce serious bums?
(a) Determine the equilibrium charge on the capacitor in the circuit of Figure P27.46 as a function of R. (b) Evaluate the charge when R = 10.0 . (c) Can the charge on the capacitor be zero? If so, for what value of R? (d) What is the maximum possible magnitude of the charge on the capacitor? For what value of R is it achieved? (c) Is it experimentally meaningful to take R = ? Explain your answer. If so, what charge magnitude does it imply? Figure P27.46
Chapter 32, Problem 018 Your answer is partially correct. Try again. The circuit in the figure consists of switch S, a 4.50 V ideal battery, a 35.0 M2 resistor, and an airfilled capacitor. The capacitor has parallel circular plates of radius 5.10 cm, separated by 1.50 mm. At time t = 0, switch S is closed to begin charging the capacitor. The electric field between the plates is uniform. At t = 160 µs, what is the magnitude of the magnetic field within the capacitor, at radial distance 3.30 cm? C S R Number Units T. Use correct number of significant digits; the tolerance is +/-1 in the 3rd significant digit
b. The voltage across the plates of a capacitor at any time t seconds is given by t V(t) = Ve¯RC where V, C and R are constants. Given V = 200 volts, C = 0.1 x 10-6 Farads and R = 4 x 105 ohms. Find i. The initial rate of change of voltage ii. The rate of change of voltage after 0.5 s.
Chapter 32, Problem 018 Your answer is partially correct. Try again. The circuit in the figure consists of switch S, a 4.50 V ideal battery, a 35.0 M2 resistor, and an airfilled capacitor. The capacitor has parallel circular plates of radius 5.10 cm, separated by 1.50 mm. At time t = 0, switch S is closed to begin charging the capacitor. The electric field between the plates is uniform. At t = 160 µs, what is the magnitude of the magnetic field within the capacitor, at radial distance 3.30 cm? S R Number Units Use correct number of significant digits; the tolerance is +/-1 in the 3rd significant digit
The current in a single-loop circuit with one resistance R is 5.8 A. When an additional resistance of 1.9 2 is inserted in series with R, the current drops to 5.1 A. What is R? Number i Units +
An uncharged capacitor and a resistor are connected in series to a battery. If & = 9.00 V, C = 20 μF, and R = 2 Mº. a. Find the time constant of the circuit. b. Find the voltage across the resistor at the moment the switch is closed. c. The maximum charge on the capacitor. d. The voltage across the resistor 20 seconds after the switch is closed. e. The time it takes the capacitor to be 50% charged.
In the circuit diagram below, the switch S is closed for a long time (which means that the capacitor C is fully charged, and so there will be no current in the capacitor's branch of the circuit). In the figure, Vo = 12 V, R₁ = 22 R₂ = 42 and C = 1 μF. S I R₂ R₁ C a) What is the voltage across R₁ (when C is fully charged) ? b) What is the voltage across C (when C is fully charged)? c) The switch S is now opened. What is the current through R₁ as a function of time, t?
A parallel plat capacitor is being charged by a battery of Ɛ = 12 V. If the total resistance of the circuit is 5.0 k2, and if the time constant for this circuit is 7= 95 ms (milliseconds), then: 1. What is the capacitance, C, of the capacitor? а) b) What is electric charge on the capacitor (as a function of time)? c) What is the current in the circuit (as a function of time)? d) If the capacitor plates are circular and the separation distance is d = 0.8 mm, calculate the E field value between the plates of the capacitor (as a function of time). e) Calculate the B field value and directions, between the plates of the capacitor (as a function of time), at a distance r from the center of plates.
The capacitor in the circuit shown below is initially uncharged. The switch is closed at t = 0 s. AVbattery = 24 V, C = 3.0 μF, and R = 2.0 Q. At sometime after the switch is closed, the voltage across the resistor is measured to be 16 V. What is the charge on the capacitor at this time, in µC? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
In this circuit, Cis initially uncharged and then switch S is closed. Immediately after switch S is closed, what can be said about the voltage across the capacitor, Vc, and the current through the capacitor, Ic? C Neither Ic nor VC = 0 OVc = 0 Both Ic and Vc = 0 Olc = 0