1. Write the differential equation for the charge on the capacitor. q' q=30 cos (20-t) 2. Write a formula for the solution, assuming q(0) = 0. q(t) =

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A circuit consists of a 8 ohm resistor, a 0.1 farad capacitor, and an AC voltage source supplying V(t) = 240 cos(20 t) volts.
1. Write the differential equation for the charge on the capacitor.
q' +
q= 30 cos (20. t)
2. Write a formula for the solution, assuming q(0) = 0.
q(t) =
Transcribed Image Text:A circuit consists of a 8 ohm resistor, a 0.1 farad capacitor, and an AC voltage source supplying V(t) = 240 cos(20 t) volts. 1. Write the differential equation for the charge on the capacitor. q' + q= 30 cos (20. t) 2. Write a formula for the solution, assuming q(0) = 0. q(t) =
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