In standard TV receiving antenna the dipole element is
0.5 of the wave length
The dipole element is a fundamental part of a standard television receiving antenna. Its primary role is to capture the electromagnetic radio waves carrying the TV signal from the broadcast tower.
For an antenna to efficiently receive signals, it should be "resonant" at the frequency of the signal. Resonance is achieved when the antenna's physical dimensions are in proportion to the wavelength ($\lambda$) of the radio waves. An antenna that is resonant at a specific frequency will interact most strongly with signals of that frequency, leading to maximum signal capture.
A simple dipole antenna consists of two conductive elements arranged end-to-end. For optimal performance in receiving TV signals, the total length of a standard dipole antenna is designed to be approximately equal to half of the wavelength of the signal. Mathematically, this is represented as:
Total Dipole Length $\approx \frac{1}{2}\lambda$
This means that each individual element (or "leg") of the dipole is typically about a quarter of the wavelength long:
Each Element Length $\approx \frac{1}{4}\lambda$
The wavelength ($\lambda$) is inversely related to the frequency ($f$) of the signal, as shown in the formula $\lambda = \frac{c}{f}$, where $c$ is the speed of light. By matching the antenna length to the signal's wavelength, the antenna effectively "resonates" with the incoming TV broadcast, inducing a stronger electrical current that is then processed by the television receiver.
Setting the dipole element length to approximately 0.5 of the wavelength ensures that the antenna is properly tuned for the specific TV frequencies it is designed to receive. This precise sizing maximizes the antenna's efficiency in capturing the television signal, leading to better reception quality.
A half wavelength dipole is kept in the x-y plane and oriented along 45° from the x-axis. Determine the direction of null in the radiation pattern for 0 ≤ Φ ≤ π. Here the angle θ (0 ≤ θ ≤ π) is measured from the z-axis, and the angle Φ (0 ≤ Φ ≤ 2π) is measured from the x-axis in the x-y plane.
The Magnetic field inside a solenoid