matlab The electric potential around a charged particle is given by , where ε=8.854x10-12V=14πrqC/Nm2 , q is the charge and r is the distance from the particle. The electric potential of 2 particles at a point P is given by , where q1 and q2 are the particles charges and r1 and r2V=14π(q1r1+q2r2)are distances from the particles to P. Two particles with charges q1=2x10-10 C and q2=3x10-10 C are located in the x-y plane at (0.25,0) and (-.25,0). Calculate and plot the electric potential due to the particles at points in the x-y plane located in the domain -0.3<=x<=0.3 and -0.3<=y<=0.3.

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

Wavelength, frequency, and energy are related. what happens to a wave as it’s wavelength gets shorter?

What is the energy of a photon of ultraviolet radiation with a frequency of 4.4 × 1015 hz? planck’s constant is 6.63 × 10–34