Pressure amplitude distribution: Horn equation.

The pressure amplitude distribution p(x) of harmonic oscillation, p(x,t) = p(x) cos(wt), in the horn is governed by the equation:

where A(x) is the cross-section are, k is the wavenumber, w=2 pi f is de angular frequency, c = 340 m/s is the sound speed in air, f is the frequency.

Boundary conditions of horn opened at the both sides are: p(0) = p(L)=0.

It shows the first three modes of the second order differential equation given above. It shows clearly the pressure null at ends.

It shows the first 10 modes.

Click on BUY NOW, we have solved the horn equation, step-by-step. We have used MATLAB to solve this equation, we included the code.

RLC series circuit

For the circuit shown find an equation which shows how the current varies with time. Assume zero initial conditions when the switch is closed. Use Laplace transform and Kirchhoff's voltage law:

Click on BUY NOW to see the step-by-step solution, we have plotted the solution with MATLAB.

Signal and System Analysis

It shows the continuous signal as blue line, whereas the red line is the low-pass filter signal with a cutoff frequency of 75 Hz.

It shows the continuous signal as blue line, whereas the red line is when the low-pass filter has been applied. It has a cutoff frequency of 30 Hz.

We have the step-by-step solution of Frequency Modulate and Amplitude Modulate problems... click on BUY  NOW to get the final solution.