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A common example of a dipole is the rabbit ears television antenna found on broadcast ... the above formula for the corrected antenna length can be written, ...
An example in organic chemistry of the role of geometry in determining dipole moment is the cis and trans isomers of 1,2-dichloroethene. In the cis isomer the two polar C−Cl bonds are on the same side of the C=C double bond and the molecular dipole moment is 1.90 D.
As a first example relating dipole moment to polarization, consider a medium made up of a continuous charge density ρ(r) and a continuous dipole moment distribution p(r). [ notes 5 ] The potential at a position r is: [ 10 ] [ 11 ] ϕ ( r ) = 1 4 π ε 0 ∫ ρ ( r 0 )
As the length of an antenna is made shorter than its fundamental resonant length (a half-wavelength for a dipole antenna and a quarter-wavelength for a monopole), the radiation resistance the antenna presents to the feedline decreases with the square of the electrical length, that is the ratio of physical length to wavelength, (/). As a result ...
Typical dipole moments for simple diatomic molecules are in the range of 0 to 11 D. Molecules with symmetry point groups or containing inversion symmetry will not have a permanent dipole moment, while highly ionic molecular species have a very large dipole moment, e.g. gas-phase potassium bromide, KBr, with a dipole moment of 10.41 D. [3] A proton and an electron 1 Å apart have a dipole ...
As can be seen in the above table, for linear antennas shorter than their fundamental resonant length (shorter than 1 / 2 λ for a dipole antenna, 1 / 4 λ for a monopole) the radiation resistance decreases with the square of their length; [24] for loop antennas the change is even more extreme, with sub-resonant loops ...
Formula Description Example Name Dipole moment Polar AB Linear molecules CO Carbon monoxide: 0.112 HA x: Molecules with a single H HF Hydrogen fluoride: 1.86 A x OH Molecules with an OH at one end C 2 H 5 OH Ethanol: 1.69 O x A y: Molecules with an O at one end H 2 O Water: 1.85 N x A y: Molecules with an N at one end NH 3: Ammonia: 1.42 ...
For instance, a half-wave dipole has a much longer effective length than a short dipole. However the effective area of the short dipole is almost as great as it is for the half-wave antenna, since (ideally), given an ideal impedance-matching network, it can receive almost as much power from that wave.