Perfect Wave Equation Triangle

I have a triangle wave equation represented as.

Wave equation triangle. Water waves sound waves and seismic waves or light waves. For n0 other coefficients the even symmetry of the function is exploited to give an 2 T T xT tcosnω0tdt 2 T T 2 T 2 xT tcosnω0tdt 4 T T 2 0 xT tcosnω0tdt a n 2 T T x T t cos. A formula triangle for the wave speed equation All waves including sound waves and electromagnetic waves follow this equation.

This equation starts at 0 0. P10 will produce a wave with a period of 20. A triangle wave function with period 2π.

With boundary conditions that ϕ x y 0 on the boundary of the triangle. Y A P x mod 2 P P P. Then the square-wave is made asymmetrical then integrated into triangle-waves that all have the same amplitude.

Using the symbols v λ and f the equation can be rewritten as v f λ. This function is sometimes also called the continuous sawtooth function however the actual sawtooth has a slightly different shape. Consider a triangular voltage waveform that is bi-polar has a 50 duty-cycle symmetrical about V0 and a frequency f.

It states the mathematical relationship between the speed v of a wave and its wavelength λ and frequency f. When the elasticity k is constant this reduces to usual two term wave equation u tt c2u xx where the velocity c p kρ varies for changing density. So during 400ns you will have a peak of 23Arms current.

The above equation is known as the wave equation. And we obtain the wave equation for an inhomogeneous medium ρu tt k u xx k x u x. A is the amplitude of the wave and P the half-period.