Chapter 4 Flashcards

1
Q

What is the equation for discharging a capacitor?

A

Vc(t) = Vi.e^-t/RC

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2
Q

What is the equation for charging a capacitor from a DC source through a resistor?

A

Vc(t) = Vs - Vs.e^-t/RC

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3
Q

How do capacitances behave under steady state conditions?

A

As open circuits

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4
Q

How do inductances behave under steady state conditions?

A

As short circuits

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5
Q

In general, what is the equation for any circuit containing one inductance or capacitance?

A

First order ODE

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6
Q

In general, what is the equation for circuits that contain two energy-storage elements?

A

Second order ODE

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7
Q

How do you find the particular solution of a second order equation? (3)

A

Directly from the circuit

Replace L with short circuits) (Replace C with open circuits

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8
Q

How do you find the complementary solution of a first order equation?

A

Solving the homogeneous equation

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