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?

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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

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