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A series circuit has a capacitor of 0.25 × 10-º F, a resistor of 5 × 10° Q, and an inductor of 1 H. The initial charge on the capacitor is zero. If a 9- volt battery is connected to the circuit 0, determine the charge on the capacitor at t = 0.001 seconds, at t = 0.01 seconds, and at any time t. Also determine the limiting charge as t → ∞. and the circuit is closed at t Enter the exact answer with a < b. The charge at any time is given by the formula Q(1) = (Aeªt + Beb" + C) × 10-6 coulombs, where A = i B = i

A series circuit has a capacitor of 0.25 × 10-º F, a resistor of 5 × 10° Q, and an inductor of 1 H. The initial charge on the capacitor is zero. If a 9- volt battery is connected to the circuit 0, determine the charge on the capacitor at t = 0.001 seconds, at t = 0.01 seconds, and at any time t. Also determine the limiting charge as t → ∞. and the circuit is closed at t Enter the exact answer with a < b. The charge at any time is given by the formula Q(1) = (Aeªt + Beb" + C) × 10-6 coulombs, where A = i B = i

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 20E
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С — i a = i b = i Q(t) → i x 10-0 coulombs as t → ∞ Round your answers to two decimal places. Q(0.001) = i × 10-º coulombs Q(0.01) = i x 10-0 coulombs
Transcribed Image Text:С — i a = i b = i Q(t) → i x 10-0 coulombs as t → ∞ Round your answers to two decimal places. Q(0.001) = i × 10-º coulombs Q(0.01) = i x 10-0 coulombs
A series circuit has a capacitor of 0.25 × 10-0 F, a resistor of 5 × 10° Q, and an inductor of 1 H. The initial charge on the capacitor is zero. If a 9- volt battery is connected to the circuit 0, determine the charge on the capacitor at t = 0.001 seconds, at t = 0.01 seconds, and at any time t. Also determine the limiting charge as t → o. and the circuit is closed at t = Enter the exact answer with a < b. The charge at any time is given by the formula Q(t) = (Ae“ + Beb + C) × 10-6 + C) x 10-6 coulombs, where A = i В — %3D i
Transcribed Image Text:A series circuit has a capacitor of 0.25 × 10-0 F, a resistor of 5 × 10° Q, and an inductor of 1 H. The initial charge on the capacitor is zero. If a 9- volt battery is connected to the circuit 0, determine the charge on the capacitor at t = 0.001 seconds, at t = 0.01 seconds, and at any time t. Also determine the limiting charge as t → o. and the circuit is closed at t = Enter the exact answer with a < b. The charge at any time is given by the formula Q(t) = (Ae“ + Beb + C) × 10-6 + C) x 10-6 coulombs, where A = i В — %3D i
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