An (open) electrical circuit consists of an inductor, a resistor, and a capacitor. There is an initial charge of 2 coulombs on the capacitor. At the instant, the circuit is closed, a current of 2 amperes is present and a voltage of E(t)=23cost is applied. In this circuit the voltage drop across the resistor is 9 times the instantaneous change in the charge, the voltage drop across the capacitor is 14 times the charge, and the voltage drop across the inductor is 3 times the instantaneous change in the current. Write an initial value problem to model the circuit. Write the differential equation that models this circuit in terms of the charge, q. ?q′′+?q′+?q=?

An (open) electrical circuit consists of an inductor, a resistor, and a capacitor. There is an initial charge of 2 coulombs on the capacitor. At the instant, the circuit is closed, a current of 2 amperes is present and a voltage of E(t)=23cost is applied. In this circuit the voltage drop across the resistor is 9 times the instantaneous change in the charge, the voltage drop across the capacitor is 14 times the charge, and the voltage drop across the inductor is 3 times the instantaneous change in the current. Write an initial value problem to model the circuit. Write the differential equation that models this circuit in terms of the charge, q. ?q′′+?q′+?q=?

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 64E

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