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A RC circuit is constructed with a (initially uncharged) 5.00-µF capacitor and a 5.00- ohm resistor, which are connected in series to an ideal battery with emf 60.0 V. At a certain time after the circuit is connected, it is found that heat is being produced in the resistor at a rate of 300 W. How much energy is stored in the capacitor at that time (in Joules)? None of these 1.8x104 1.13x10-3 3.75x10-3 9x10-3

A RC circuit is constructed with a (initially uncharged) 5.00-µF capacitor and a 5.00- ohm resistor, which are connected in series to an ideal battery with emf 60.0 V. At a certain time after the circuit is connected, it is found that heat is being produced in the resistor at a rate of 300 W. How much energy is stored in the capacitor at that time (in Joules)? None of these 1.8x104 1.13x10-3 3.75x10-3 9x10-3

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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An RC circuit is constructed with a (initially uncharged) 5.00-μF capacitor and a 5.00-ohm resistor, which are connected in series to an ideal battery with an emf of 60.0 V. At a certain time after the circuit is connected, it is found that heat is being produced in the resistor at a rate of 300 W. How much energy is stored in the capacitor at that time (in Joules)? - None of these - \(1.8 \times 10^4\) - \(1.13 \times 10^{-3}\) - \(3.75 \times 10^{-3}\) - \(9 \times 10^{-3}\)
Transcribed Image Text:An RC circuit is constructed with a (initially uncharged) 5.00-μF capacitor and a 5.00-ohm resistor, which are connected in series to an ideal battery with an emf of 60.0 V. At a certain time after the circuit is connected, it is found that heat is being produced in the resistor at a rate of 300 W. How much energy is stored in the capacitor at that time (in Joules)? - None of these - \(1.8 \times 10^4\) - \(1.13 \times 10^{-3}\) - \(3.75 \times 10^{-3}\) - \(9 \times 10^{-3}\)
Expert Solution
Step 1

Solution:

Given:

R = resistance of resistor = 5.00 Ω

C = capacitance of capacitor = 5.00 μF = 5.00 x 10-6 F

Vb = emf of supply battery = 60.0 V

PResistor = heat produced in resistor at time t at the rate = 300 W

Ucapacitor = energy stored in capacitor at time t in joules = ?

Choose the correct option (energies are given in joules):

  1. None of these
  2. 1.8 x 104
  3. 1.13 x 10-3
  4. 3.75 x 10-3
  5. 9 x 10-3
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