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,

Where I is the intensity, P is the power, and A is the area of cross-section.

Solved Examples

Let us discuss the questions related to intensity.

Problem 1: Calculate the intensity of a wave whose power is 25 KW and the area of cross-section is 35×10⁶m²?
Answer:

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

I=25×10³ /35×10⁶

=7.14×10^-2W/m²

Problem  2: Calculate the power of a wave whose intensity and area of the cross-section are 30×10^-5W/m² and 50m² respectively?
Answer:

Known quantities are,
I = 30×10^-5W/m² and A = 50m²
Intensity formula is,

P= I x A

P = 30 x 10^-5 x 50

P= 0.015W

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