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Unit Step Function Heaviside Function

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Questions and Answers

What is the Unit Step Function also known as?

Continuous V

Heaviside Function (correct)

Discontinuous Source

Constant V

What is assumed when it is mentioned 'the circuit is in 'DC steady state' or is 'at rest'?

Inductors are short circuits

The change is assumed to be instantaneous

All derivatives are zero (correct)

Capacitors are open circuits

When should you calculate the inductor current or the capacitor voltage?

When the circuit is at rest

Before the switch change

When the circuit is open

After the switch change (correct)

What does the node represent in the context of the given information?

Node for 0 Signup and view all the answers

What is the Unit Step Function also known as?

Heaviside function Signup and view all the answers

What represents the initial condition in the context of the given information?

The value of the inductor current or the capacitor voltage at the time of switch change Signup and view all the answers

What does it signify when it is mentioned 'the change is assumed to be instantaneous'?

The circuit experiences a step change in voltage or current at that point. Signup and view all the answers

What do inductors behave as when it is mentioned 'inductors are short circuits'?

They behave as short circuits Signup and view all the answers

Study Notes

Unit Step Function

Also known as the Heaviside Function.

DC Steady State

Assumes circuits have reached a stable state with constant currents and voltages.
Components behave predictably: capacitors are open circuits, inductors are short circuits.

Calculating Inductor Current and Capacitor Voltage

Calculate inductor current and capacitor voltage before a change in input.

Nodes and Initial Conditions

A node represents a point in a circuit where multiple components are connected.
Initial conditions are the values of inductor current and capacitor voltage at the instant before a change in input.

Instantaneous Change

Signifies that a change in input occurs abruptly, with no transition time.

Inductors as Short Circuits

Inductors behave as short circuits when they are in DC steady state, meaning they offer no resistance to current flow.

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Description

This quiz covers the properties of the unit step function, also known as the Heaviside function, including its discontinuities, constant values, and behavior at specific points. It also tests understanding of its connection to nodes.