Electronic and communication (ECE)

Solve the following system of equations by gauass jordan method 3x-y+2z=12,X+2y+3z=11,2x-2y-z=2

Calculate the directivity of the source with the pattern U=Umsinөsin3Ø using i)Exact Method ii) Approximate method . 0≤ө≤Π and 0≤ Ø ≤Π and zero elsewhere.

Derive equations for voltage and current for a Transmission line.

Describe the python functions int(), float(), and str() with examples

Show that the directivity for an unidirectional operation is 2(n+1) for an intensity variation of U=Umcosnθ

8. Derive an expression and determine by analytical method the angles of maxima, minima and half power points and draw the field pattern for two isotropic point sources of same amplitude and in phase placed symmetrically wrt the origin. Assume the distance between the sources to be λ/2.