Find the shapes of input and output voltage in circuit -

Question

Problem 1:

In the circuit shown below determine the length 1 and length 2 of transmission lines T1 and T2 to make the Input impedance (INPUT) equal to 50 ohms. Assume the frequency of circuit operation equate 300 MHz.

Problem 2:

Using the bouncing wave diagram find the shapes of input and output voltage in circuit shown In Frgure 1 when the source votage is a step two shown in figure 2. Draw these voltages.

Problem 3:

The electrostatic field density E is obtained from the negative gradient of a Scalar electric potential V. Determine E at the point P(1, 1, 0) if

a) V = V₀ exp(-x)*sin(Πy/4) in Cartesian coordinate system.

b) V = V₀ R cosθ in Cartesian coordinate system.