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Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (N). The voltage drop across the capacitor is where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + = E(t). dQ we have dt 1 OP Since I R- dt +Q = E(t). Suppose the resistance is 302, the capacitance is 0.05F, a battery gives a constant voltage of 30V, and the initial charge is Q(0) = 0 coulombs. Find the charge and the current at time t. Q(t) = I(t) = Question Help: O Video O Message instructor Submit Question

Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (N). The voltage drop across the capacitor is where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + = E(t). dQ we have dt 1 OP Since I R- dt +Q = E(t). Suppose the resistance is 302, the capacitance is 0.05F, a battery gives a constant voltage of 30V, and the initial charge is Q(0) = 0 coulombs. Find the charge and the current at time t. Q(t) = I(t) = Question Help: O Video O Message instructor Submit Question

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage Q where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives drop across the capacitor is Q = E(t). C RI + dQ , we have dt 1 Since I dQ R dt E(t). C Suppose the resistance is 302, the capacitance is 0.05F, a battery gives a constant voltage of 30V, and the initial charge is Q(0) = 0 coulombs. Find the charge and the current at time t. Q(t) = I(t) Question Help: D Video M Message instructor Submit Question
Transcribed Image Text:Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage Q where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives drop across the capacitor is Q = E(t). C RI + dQ , we have dt 1 Since I dQ R dt E(t). C Suppose the resistance is 302, the capacitance is 0.05F, a battery gives a constant voltage of 30V, and the initial charge is Q(0) = 0 coulombs. Find the charge and the current at time t. Q(t) = I(t) Question Help: D Video M Message instructor Submit Question
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