Radiation resistance of a small dipole current element of length l at a frequency of 6...

Radiation resistance of a small dipole current element of length l at a frequency of 6 GHz is 9 ohms. If the length is changed by 5%, then the percentage change in the radiation resistance?

Expert Solution

The short dipole antenna is one that is short when compared to a wavelength at the operating frequency.

Radiation resistance of short dipole element is given by formula:

where; R is radiation resistance

L is physical length of element

is wavelength and is given by of which c is speed of light and v denotes frequency

From the formula of radiation resistance, we can say that

In out question, frequency(v) is constant, and so wavelength is constant. So only variable in the formula is length.

Therefore we can write .

Let the radiation resitance before change in length is R₁ and after change in length is R₂. Also let the length of element before change is L₁ and after change is L₂.

Manojponduru answered 1 year ago

By using MATLAB software: Exercise 2: Generate radiation pattern for a dipole as its length varies....

By using MATLAB software: Exercise 2: Generate radiation pattern for a dipole as its length varies. % M-File: ML0803 % % Dipole antenna movie shows radiation % pattern as dipole length grows from 0.1 % lambda to 2.1 lambda. % % Variables % L dipole length (in wavelengths) % bL2 phase constant * length/2 % N number of theta points % th,thr angle theta in degrees,radians % num,den temporary variables % F un-normalized power function clc %clears the command window...

An electric space heater has a Nichrome heating element with a resistance of 6 Ω at...

An electric space heater has a Nichrome heating element with a resistance of 6 Ω at 20°C. When 120 V are applied, the electric current heats the Nichrome wire to 1004°C. The temperature coefficient of resistivity of Nichrome is 4 x 10-4 K-1. (a) What is the initial current drawn by the cold heating element? (b) What is the resistance of the heating element at 1004°C? (c) What is the operating wattage of this heater?

A horizontal bar length, L, weighs 6 pounds and rests at on two scales at the...

A horizontal bar length, L, weighs 6 pounds and rests at on two scales at the left and tight ends of the bar. A box (4lb) rests 1/4 way, from the left end. What is the reading of on each scale ? Please include all steps and provide the answer in letters.

6 mm diameter power line carries 40 A current and the resistance of one meter is...

6 mm diameter power line carries 40 A current and the resistance of one meter is 0.02 ohms. Find the surface temperature of the wire on a day when the wind temperature is 10 ° C, the wind speed is 40 km / h and it crosses the wire. Air characteristics: p = 1.246 kg / m3. k = 0.02439 W / m ° C. Pr = 0.7336, v = 1.426x10 m / s. (Electrical power, P = 1 *...

A settling tank treating 5.5x10*6 L of water per day has dimensions as follows: length, 12.2m;...

A settling tank treating 5.5x10*6 L of water per day has dimensions as follows: length, 12.2m; width, 7.0m; depth, 3.5m. Calculate the detention time of water in the tank? Calculate the minimum particle (expressed as diameter of spheres) size that could settle the tank?

Consider a wire of length L = 0.30m that runs north-south on a horizontal surface. There is a current of I = 0.50A flowing north in the wire.

Consider a wire of length L = 0.30m that runs north-south on a horizontal surface. There is a current of I = 0.50A flowing north in the wire. (The rest of the circuit, which actually delivers this current, is not shown.) The Earth's magnetic field at this location has a magnitude of 0.50 (or, in SI units, 0.5 X10^-4 Tesla) and points north and 38 degrees down from the horizontal, toward the ground. What is the size of the magnetic force on the wire due to the Earth's magnetic field? In considering the agreement...

Question