Question

What is an example of a linear network?

Answer 1

A linear network is a type of electrical network where the relationship between voltage and current is linear. This means that the components of the network (like resistors, inductors, and capacitors) follow Ohm's law and behave in a predictable way without distortion. Essentially, if you double the voltage, the current will also double, or if you apply a certain voltage, the current will always behave in a proportionate manner.

Example of a linear network:

A simple series circuit consisting of a resistor and a voltage source is a great example of a linear network.

1. Components:
   

   - A voltage source (like a battery)
   - A resistor

1. How it works:
   

   - If you apply a voltage (e.g., 10V) to the resistor, the current flowing through the resistor will depend on the resistance value (using Ohm’s law: \( I = \frac{V}{R} \)).
   - If you increase the applied voltage to 20V, the current will double, which is a linear relationship.

In this case, the resistor is a linear component because it follows Ohm's law, and the circuit overall behaves in a linear fashion, as the current changes in direct proportion to the applied voltage.

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