# Superposition Formula

## Superposition Formula

Understanding the Superposition Formula cam be challenging for a number of students. This does not mean that the formula will stay challenging forever. There are several formulas that a student has to learn in the educational journey. The Superposition Formula is one of them. Students need to be aware of all the aspects of the topic and related topics. This means they need to be thorough with the Superposition Formula. It can seem new and intimidating at first, but students encounter a number of some hiccups while learning. The textbooks are the main source of learning and information for students, but they also have limited information. This information about the Superposition Formula is good for the examinations, but might not be enough for other competitive examinations. Students need to rely on other sources, learning to have an entire idea of any topic like Superposition Formula.

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### Principle of Superposition

The total current in any part of a linear circuit equals the algebraic sum of the currents produced by each source separately.

For example:

If the response produced by input A is X and that produced by input B is Y, then the response produced by input A+B is X+Y.

### According to the Principle of Superposition

It is noted that the net displacement is the algebraic sum of displacements of individual waves.

Consider two waves are travelling alone and the displacement of these two waves can be represented by y1(x, t) and y2(x, t).

When these two waves overlap, the resultant displacement can be given as y(x,t).

y (x, t) = y1(x, t) + y2(x, t)

The resultant wave is calculated by considering the sum of wave functions of travelling waves

y1 = f1(x–vt)

y2 = f2(x–vt)

……….

yn = fn (x–vt)

For a complete solution, stay tuned on the Extramarks platform.