Consider a circuit that consists of a resistor with R = 40Ω, and an inductor with...

Consider a circuit that consists of a resistor with R = 40Ω, and an inductor with L = 1H, a capacitor with C = 0.002F, and a 15V battery.

1. Write the differential equation for the charge Q

2. Classify the equation (order, linear/non-linear, homogeneous/nonhomogeneous)

3. Find two solutions of the complementary equation and show that they form a fundamental set of solutions.

4. Find the general solution of the equation.

5. Assume that the initial charge and current are both 0, find the charge and current at any time t.

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Expert Solution

genius_generous answered 1 year ago

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