Problem 10: (8% of Assignment Value)A 420 resistor, an uncharged 1.35 µF capacitor, and a battery with a 6.14 V potential difference are connected in series.Randomized VariablesR = 420 QC = 1.35 μFAV = 6.14 VPart (a)What is the initial current in mA, immediately after they are connected?I = ||Hints:sin()cos()tan()πο789HOMEcotan()asin()acos()EΛ456atan()acotan()sinh()*12->cosh() tanh()cotanh()+-0ENDDegrees Radians✓ BACKSPACESubmitHintFeedbackI give up!2 Submission(s) RemainingFeedback:Part (b)What is the RC time constant in s?Part (c)What is the current, one time constant after they are connected, in milliamps?Part (d)What is the voltage on the capacitor after one time constant in V?DELCLEAR

Answered: Image /qna-images/answer/1576753d-4bb9-4c04-8abc-09ebd98a4c0f.jpg

Answered: Problem 10: (8% of Assignment Value) A…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 87AP: A 160F capacitor charged to 450 V is dischargedthrough a 31.2k resistor, (a) Find the time...

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A 160F capacitor charged to 450 V is dischargedthrough a 31.2k resistor, (a) Find the time constant.(b)Calculate the temperature increase of the resistor, given that its mass is 2.50 g and its specific heat is 1.67kJ/kg °C,noting that most of the thermal energy is retained in the short time of the discharge, (c) Calculate the new resistance, assuming it is pure carbon. (d) Does this change in resistance seem significant?
Consider a power plant is located 60 km away from a residential area uses Q-gauge (A=42.40mm2) wire ofcopper to transmit power at a current of I = 100.00 A.How much more power is dissipated in the copper wires than it would be in superconducting wires?
An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C contains pure carbon resistors. By what factor does their resistance increase over this range?
Consider a resistor made from a hollow cylinder of carbon as shown below. The inner radius of the cylinder is Ri= 0.20 mm and the outer radius is R0 = 0.30 mm. The length of the resistor is L = 0.90 mm. The resistivity of the carbon is =3.5105 m. (a) Prove that theresistance perpendicular from the axis is R=2L1n(R0Ri) . (b) What is the resistance?
The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies with time according to the equation q = 4t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.00 s? (b) What is the value of the current density?
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.)
A homemade capacitor is constructed of 2 sheets of aluminum foil with an area of 2.00 square meters, separated by paper, 0.05 mm thick, of the same area and a dielectric constant of 3.7. The homemade capacitor is connected in series with a 100,00- resistor, a switch, and a 6.00-V voltage source, (a) What is the RC time constant of the circuit? (b) What is the initial current through the circuit, when the switch is closed? (c) How long does it take the current to reach one third of its initial value?
An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.
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.
What is the current through a cylindrical wire of radiusR = 0.1 mm if the current density is J=J0Rr where J0=32000Am2?
A student makes a homemade resistor from a graphite pencil 5.00 cm long, where the graphite is 0.05 mm indiameter. The resistivity of the graphite is =1.38102/m . The homemade resistor is place inseries with a switch, a 10.00-mF capacitor and a 0.50-V power source, (a) What is the BC time constant of the circuit? (b) What is the potential drop across the pencil 1.00 s after the switch is closed?
The charge that flows through a point in a wire as a function of time is modeled as q(t)=q0et/T=10.0Cet/5s . (a) What is the initial current through the wire at time t = 0.00 s? (b) Find the current at time t=12T . (c) At what time t will the current be reduced by one-half I=12I0 ?

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