A horizontal antenna of length L =100 m, which is distance h = λ/2 from the ground, carries
current I(t) = I0 sin(ωt), where I0 = 10A and ω = 2π105

rad/s. A) Check if it is short or long
antenna and write down the corresponding solutions for electric E~ and magnetic H~ fields large
distance r from the antenna (choose coordinate axes so that Z axis is along the antenna and the
X axis is vertical); B) Calculate the amplitude of the magnetic field r = 10 km away from the
antenna in the ZX plane at the polar angle of θ = π/6 with respect to the Z-axis above the ground;
C) Sketch the radiation patterns in the ZX and XY planes.

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .