D. An RC circuit has an emf of 10 sin t (volts), a resistance of 100 ohms, a capacitance of 0.005 farac and no initial charge on the capacitor. 13. What is the differential equation governing the amount of charge on the capacitor? *

D. An RC circuit has an emf of 10 sin t (volts), a resistance of 100 ohms, a capacitance of 0.005 farac and no initial charge on the capacitor. 13. What is the differential equation governing the amount of charge on the capacitor? *

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter20: Capacitance In Ac Circuits

Section: Chapter Questions

Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...

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Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).

Question

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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.
D.
13. What is the differential equation governing the amount of charge on the
capacitor? *
14. What is the integrating factor of your answer in 13? *
15. What is the charge on the capacitor at any time t? *
16. What is the current in the circuit at any time t.

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