Dipole antenna and electrical power

In summary, to calculate the impedance of a current generator feeding an antenna, you will need to use the formula for power (P) given in the homework equations and take into account factors such as frequency, permittivity, and speed of light. You will also need to calculate the voltage (V) and current (I) of the generator using Ohm's Law and the power formula, and then use the formula for impedance (Z=V/I) to find the impedance that the generator "recognizes." The generator will use alternating current, so the sinusoidal nature of the power must be considered in the calculations.
  • #1
Lindsayyyy
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0

Homework Statement



It's me again:)
I have an antenna which emit the electrica power with the formula P given at the relevant equations. Now I shall calculate the impendance which the current generator "recognizes" which feeds the antenna with the current.



Homework Equations



[tex] P=\frac{p_{0}^{2}*\omega^{4}}{12\pi\epsilon*c^{3}} [/tex]and [tex] p(t)= p_{0} *sin(\omega*t) [/tex]

I know that P isn't given this way normally, but the task says it this way.

The Attempt at a Solution



My attempt is that I thought the power which is given by the generator must be same which is emitted by the antenna, so p is constant, in order to find the impendance. My problem is I'm not sure which formula I need for the power from the generator. The generator must use alternating current, mustn't it?

Thanks for help in advance
 
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  • #2



Hello! It seems like you are trying to calculate the impedance of a current generator that is feeding an antenna. In order to do this, you will need to use the formula for power (P) given in the homework equations. This formula takes into account the power (p) being emitted by the antenna, as well as other factors such as frequency (ω), permittivity (ε), and speed of light (c).

To find the impedance, you will also need to know the voltage (V) and current (I) of the generator. These can be calculated using the formula for power (P) as well as Ohm's Law (V=IR). Once you have these values, you can use the formula for impedance (Z=V/I) to find the impedance that the generator "recognizes" when feeding the antenna with current.

Remember, the generator will use alternating current, so you will need to take into account the sinusoidal nature of the power (p) in your calculations. I hope this helps! Let me know if you have any further questions.
 

1. What is a dipole antenna?

A dipole antenna is a type of radio antenna that consists of two conductive elements, usually metal rods, that are connected to a radio receiver or transmitter. It is named for its shape, which resembles two poles or arms extending in opposite directions from a central point.

2. How does a dipole antenna work?

A dipole antenna works by converting electrical energy into electromagnetic waves and vice versa. When an alternating current is applied to the antenna, it creates oscillating electric and magnetic fields, which radiate outward as radio waves. Similarly, when radio waves strike the antenna, they induce an alternating current that can be detected by a receiver.

3. What is the difference between a half-wave dipole and a full-wave dipole?

A half-wave dipole is a dipole antenna whose length is equal to half the wavelength of the radio waves it is designed to transmit or receive. A full-wave dipole is twice the length of a half-wave dipole and is resonant at a slightly lower frequency. Both types are commonly used in radio communication systems.

4. How does a dipole antenna affect electrical power?

A dipole antenna can both transmit and receive electrical power. When used as a transmitter, the antenna converts electrical power into radio waves and radiates them into the surrounding space. When used as a receiver, it captures incoming radio waves and converts them back into electrical energy that can be used to power a device or signal processing circuit.

5. What are some common applications of dipole antennas?

Dipole antennas are used in a variety of applications, including radio and television broadcasting, cell phone communication, WiFi networks, and satellite communication. They are also commonly used in radio frequency identification (RFID) technology, radar systems, and amateur radio equipment.

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