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University of Notre Dame *

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2314

Subject

Electrical Engineering

Date

Oct 30, 2023

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1

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Assignment02: Problem 3 (1 point) C | | | ® =r o\ switch The figure above shows a circuit containing an electromotive force (a battery), a capacitor with a capacitance of C farads (F), and a resistor with a resistance o' R ohms (£2). The voltage drop across the capacitor is @ /C, where @ is the charge (in coulombs), so in this case Kirchhoff's Law gives Q = E(t). RI + % = E(t) Since the currentis I = % we have dQ 1 R +5Q=FE®. Suppose the resistance is 10 €, the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 30V, and the initial charge is @(0) = 0C. Find the charge and the current at time ¢. Q) ='| o -
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