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Transient Response in RL Circuits Quiz

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Questions and Answers

What is the solution to the non-homogeneous differential equation representing the current in the RL circuit?

$i = Ke^{-t/\tau} - V$

$i = Ke^{-t/\tau} + V$

$i = Ke^{-t/\tau} - \frac{V}{R}$

$i = Ke^{-t/\tau} + \frac{V}{R}$ (correct)

What type of differential equation is the equation describing the transient response of the RL circuit?

Non-linear differential equation of second order

Linear differential equation of first order (correct)

Homogeneous differential equation of first order

Non-homogeneous differential equation of first order

How is the value of the arbitrary constant 'K' determined in the current equation for the transient response of the RL circuit?

By taking the derivative of the current equation

By integrating the voltage equation

By using the initial conditions (correct)

By applying Kirchhoff's current law

What is the applied constant voltage 'V' in the equation describing the transient response of the RL circuit?

<p>The voltage applied to the circuit when the switch S is closed</p> Signup and view all the answers

What happens to the inductor in the RL circuit when the switch S is closed?

<p>It resists the change in current flow</p> Signup and view all the answers

Study Notes

RL Circuit Transient Response

The solution to the non-homogeneous differential equation representing the current in the RL circuit involves finding the general solution and the particular solution, then combining them to obtain the complete solution.

Differential Equation Type

The equation describing the transient response of the RL circuit is a first-order linear differential equation.

Determining the Arbitrary Constant 'K'

The value of the arbitrary constant 'K' is determined by applying the initial condition, i.e., the current at time t = 0, to the general solution.

Applied Constant Voltage 'V'

The applied constant voltage 'V' in the equation describing the transient response of the RL circuit is the voltage source connected to the RL circuit.

Inductor Behavior when Switch S is Closed

When the switch S is closed, the inductor in the RL circuit starts to store energy, causing the current to increase gradually, and the magnetic field around the inductor builds up.

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Description

Test your knowledge of transient response in RL circuits with this quiz. Learn about the complete solution for the current in an RL circuit and its application of Kirchhoff's laws. Ideal for students of basic electrical engineering and DC circuits.