# Intensity Formula

## What is Intensity

Intensity is the quantity of energy the wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed. It is generally measured with units of watts per square meter. Intensity will depend on the strength and amplitude of a wave. Intensity is represented as I. The formula for intensity is articulated by,

$I=\frac{P}{A}$

WhereÂ IÂ is the intensity,Â PÂ is the power, andÂ AÂ is the area of cross-section.

### Solved Examples

Let us discuss the questions related to intensity.

ProblemÂ 1:Â Calculate the intensity of a wave whose power is 25 KW and the area of cross-section is 35Ã—106m2?

Known measures are,
P = 25 KW = 25Ã—103Â W, A =35Ã—106m2
Intensity formula is,

$I=\frac{P}{A}$

I=25Ã—103Â /35Ã—106

=7.14×10-2W/m2

ProblemÂ  2:Â Calculate the power of a wave whose intensity and area of the cross-section are 30Ã—10-5W/m2Â and 50m2Â respectively?

Known quantities are,
I = 30Ã—10-5W/m2Â and A = 50m2
Intensity formula is,

$I=\frac{P}{A}$

P= I x A

P = 30 x 10-5Â x 50

P= 0.015W

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