Consider the circuit below. Assume that the capacitor is initially uncharged.V1 = 24 VR, = 10 kC, = 10 µFR2 = 30 kNHinta. What is the initial current through resistor R, when the switch is closed (t = 0)?Current through R2 at t = 0 ismA.b. What is the current through resistor R2 when the capacitor is fully charged, long after the switch isclosed (t → 0)?Current through R2 as t → ∞ ismA.

Answered: Image /qna-images/answer/05ddc28a-22e5-44b7-bfd1-b247c1145078.jpg

Answered: Consider the circuit below. Assume that…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 74AP: Consider a circuit that consists of a real battery with an emf and an internal resistance of r...

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Consider a circuit that consists of a real battery with an emf and an internal resistance of r connected to a variable resistor R. (a) In order for the terminal voltage of the battery to be equal to the emf of the battery, what should the resistance of the variable resistor be adjusted to? (b) In older to get the maximum current from the battery, what should the resistance variable resistor be adjusted to? (c) In order for the maximum power output of the battery to be reached, what should the resistance of the variable resistor be set to?
A flashing lamp in a Christmas earring is based on an RC discharge of a capacitor through its resistance. The effective duration of the flash is 0.250 s, during which it produces an average 0.500 W from an average 3.00 V. (a) What energy does it dissipate? (b) How much charge moves through the lamp? (c) Find the capacitance, (d) What is the resistance of the lamp? (Since average values are given for some quantities, the shape of the pulse profile is not needed.)
Ralph has three resistors, R1, R2, and R3, connected in series. When connected to an ideal emf source E1, current I1 flows through the resistors. a. If the resistors are instead connected to a second source with E2=2E1, what is the new current through the resistors in terms of the first current? b. Show that, if each resistance is doubled and the resistors are connected in series to the second emf source, the current through the resistors is equal to I1.
An unloaded capacitor and a resistor are connected in series as in the figure. At t=0, the switch is closed. If E=36V, C=15 mF and R=24x105 ohm, the circuita) find the time constant the maximum charge on the capacitor and the maximum current in the circuit?b) Express the load and current as functions of time.
Considering the same circuit, only with the switch thrown from b to a at time t = 0 after having been in position b for a long time. DATA: Vb = 12 V, C = 10 µF, R = 20 Ω.a.) What is the curnent through the resistor just BEFORE the switch is thrown?b.) What is the current through the resistor just AFTER the switch is thrown?c.) What is the charge across the capacitor just BEFORE the switch is thrown?d.) What is the charge on the capacitor just AFTER the switch is thrown?e.) What is the charge on the capacitor at at time t = 0.3 msec after the switch is thrown?
The figure below shows a capacitor, with capacitance C = 35.0 µF, and a resistor, with resistance R, = 57.5 kΩ, connected in series to a battery, with = 31.0 V.The circuit has a switch, which is initially open. a) What is the circuit's time constant (in s)? b)After the switch is closed for one time constant, how much charge (in C) is on the capacitor?
A circuit with a resistance R=64 omega is connected to a battery with potential difference across the terminals of deltaV=9.5 V. Part (a) input an expression for the current passing through the circuit, I. Part (b) What is the current in milliamps, mA? Part (c) If the resistance of the circuit was increased by a factor of ten, Rnew =10R, what is the new current in milliamps, mA?
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 figure below shows a capacitor, with capacitance C = 4.72 µF, and a resistor, with resistance R = 6.48 MΩ, connected in series to a battery, with ε = 26.0 V. The circuit has a switch, which is initially open. (a) What is the circuit's time constant (in seconds)? (b) What is the maximum charge (in µC) on the capacitor after the switch is closed? (c) What is the current (in µA) through the resistor 10.0 s after the switch is closed?
The figure below shows a capacitor, with capacitance C = 7.72 µF, and a resistor, with resistance R = 5.23 MΩ, connected in series to a battery, with = 32.5 V. The circuit has a switch, which is initially open. a) What is the circuit's time constant (in seconds)? b) What is the maximum charge (in µC) on the capacitor after the switch is closed? c) What is the current (in µA) through the resistor 10.0 s after the switch is closed?
An RC circuit has an emf of 10 sin t (volts), a resistance of 100 ohms, a capacitance of 0.005 farad, and no initial charge on the capacitor. (a)what is the differential equation governing the amount of charge on the capacitor? (b) what is the integrating factor of it?(c) what is the charge on the capacitor at any time t? (d)what is the current in the circuit at any time t?
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

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