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: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter31: Gauss’s Law For Magnetism And Ampère’s Law

Section: Chapter Questions

Problem 55PQ

See similar textbooks

Similar questions

In the circuit of Figure P27.25, the switch S has been open for a long time. It is then suddenly closed. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time. Figure P27.25 Problems 25 and 26.
3, i,A garden is rectangular being 22 m wide and 45 m long. How long is a line drawn from one corner to the opposite corner and what angle does it make to the long side? ii, The electric current flowing in a resistor is given by I = 20 sin(100t) where I is in Amperes and t is in seconds. A, What is the maximum current? B, What is the frequency of the current? C, What is the time taken to change from zero to maximum current in each cycle?
1. An AC appliance cord has its live wire and neutral wire separated by 3.00 mm and carries a 5.00 A current. a) What is the force per unit length between the wires? b) Are the forces between the two wires attractive or repulsive? Explain. c) Do appliance cords need any special design features to compensate for these forces? Explain.
Part (a) Calculate the maximum charge, in coulombs, on the capacitor. Q = ______ C Part (b) The switch is now moved to position b. What is the magnitude of the instantaneous current, in amperes, through resistor at the instant the switch makes contact with terminal b? I = ______ A Part (c) With time measured from the instant that switch S is closed in position b, enter an expression for the voltage across the capacitor as a function of time. V(t) = ______ Part (e) With time measured from the instant that switch S is closed in position b, calculate the time, in seconds, when the charge on the capacitor is one-half of its maximum value. t1/2 = ______ s Part (f) Calculate the current through the resistor, in amperes, at time t=85.5ms after the switch is closed in position b. I = ______ A
An AC appliance cord has its live wire and neutral wire separated by 3.00 mm andcarries a 5.00 A current.a) What is the force per unit length between the wires?b) Are the forces between the two wires attractive or repulsive? Explain.c) Do appliance cords need any special design features to compensate for theseforces? Explain
a)Two 2.0 m long parallel wires, P and Q are separated by a distance of 20 mm, carrying currents of 5.5 A and 2.2 A respectively in opposite directions. iii. Determine the magnitude and direction of the force exerted on the wire P. iv. Explain how to determine direction of force on wire P. b)An alternating voltage is given by ? = 340 sin 314?, where V is measured in volts and t in seconds. This voltage is supplied across a pure capacitor of 200 ??. i. Determine the rms voltage.
A wire and a 10-Ω resistor are used to form a circuit in the shape of a square with dimensions 20 cm by 20 cm. A magnetic field is directed into the plane (into the page) of the circuit. The magnitude of the magnetic field is steadily decreased from 2.70 T to 0.40 T in a time interval of 75 ms. (a) Draw the figure (b) What is the direction of the induced current through the resistor? Reasons must be stated step by step. (c) What is the magnitude of the induced current?
The switch in the figure has been in position a for a long time. It is changed to position b at t = 0 s. the charge Q on the capacitor immediately after the switch is changed is 18 μC the current I through the resistor immediately after the switch is changed is Part A What is the charge Q on the capacitor at t = 40 μs?Express your answer with the appropriate units. Part B What is the current I through the resistor at t = 40 μs?Express your answer with the appropriate units. Part C what is the charge Q on the capacitor at t = 200 μs?Express your answer with the appropriate units. Part D What is the current I through the resistor at t = 200 μs?Express your answer with the appropriate units.
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
In the circuit of Figure P27.25, the switch S has been open for a long time. It is then suddenly closed. Take = 10.0 V, R1 = 50.0 k, R2 = 100 k, and C = 10.0 F. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time. Figure P27.25 Problems 25 and 26.
(a) What is the resistance of a lightbulb that uses an average power of 75.0 W when connected to a 60.0-Hz power source having a maximum voltage of 170 V? (b) What If? What is the resistance of a 100-W lightbulb?
Each of the three situations in Figure P32.68 shows a resistor in a circuit in which currents are induced. Using Lenzs law, determine whether the current in each situation is from a to b or from b to a. a. If the current I in the wire in Figure P32.68A is increased from zero to I, what is the direction of the current induced across the resistor R? b. The switch in Figure P32.68B is initially closed and is thrown open at t = 0. What is the direction of the current induced across the resistor R immediately afterward? c. A bar magnet is brought close to the circuit shown in Figure P32.68C. What is the direction of the current induced across the resistor R?