Parallel Circuit Sample Problems With Answers

Parallel Circuit Sample Problems With Answers

A parallel circuit is a type of electrical circuit in which the components are connected in parallel. This means that each component has its own path to the power source, and the total current flowing through the circuit is the sum of the currents flowing through each individual component.

Parallel circuits are used in a variety of applications, such as in the electrical systems of cars, homes, and businesses. They are also used in electronic devices such as radios, televisions, and computers.

In this article, we will look at some sample problems involving parallel circuits. We will solve these problems using the following steps:

  1. Draw a diagram of the circuit.
  2. Write down the equation for the total current in the circuit.
  3. Substitute the values of the known quantities into the equation and solve for the unknown quantity.

Let's look at a simple example. Consider the following parallel circuit:

Parallel Circuit Example

In this circuit, we have two resistors, R1 and R2, connected in parallel. The total resistance of the circuit is given by the following equation:

$$R_{total} = \frac{1}{R_1} + \frac{1}{R_2}$$

If we substitute the values of R1 and R2 into this equation, we get:

$$R_{total} = \frac{1}{10 \Omega} + \frac{1}{20 \Omega} = \frac{5}{20 \Omega} = 2.5 \Omega$$

Therefore, the total resistance of the circuit is 2.5 ohms.

Now let's look at a more complex example. Consider the following parallel circuit:

Parallel Circuit Complex Example

In this circuit, we have three resistors, R1, R2, and R3, connected in parallel. The total resistance of the circuit is given by the following equation:

$$R_{total} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$$

If we substitute the values of R1, R2, and R3 into this equation, we get:

$$R_{total} = \frac{1}{10 \Omega} + \frac{1}{20 \Omega} + \frac{1}{30 \Omega} = \frac{6}{60 \Omega} = 10 \Omega$$

Therefore, the total resistance of the circuit is 10 ohms.

These are just a few examples of parallel circuit problems. By following the steps outlined in this article, you can solve any parallel circuit problem that you encounter.

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