A $${\lambda \over 2}$$ section of a 600 $$\Omega $$ transmission line, short ciruited at one end and open circuited at the other end, is shown in Fig. A 100 V / 75 $$\Omega $$ generator is connected at the mid point of the section as shown in the Fig. Find the voltage at the open-ciruited end of the line.

A dipole antenna has a sin$$\theta $$ radiation pattern where the angle $$\theta $$ is measured from the axis of the dipole. The dipole is vertically located above an ideal ground plane (Fig.). What should be the height of the dipole H in terms of wave length so as to get a null in the radiation pattern at an angle of 45⁰ from the ground plane? Find the direction of maximum radiation also.

The units of $$\frac q{KT}$$ are

The curve given by the equation $${x^2} + {y^2} = 3axy$$ is