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The relation between the λg, λc, λ0 is given by ____(a) \(\frac{1}{λ_0} =\sqrt{\frac{1}{λ_g^2} +\frac{1}{λ_c^2}} \)(b) \(\frac{1}{λ_g}=\frac{1}{λ_0^2} -\frac{1}{λ_c^2} \)(c) \(\frac{1}{λ_0} =\sqrt{\frac{1}{λ_g^2} -\frac{1}{λ_c^2}}\)(d) \(\frac{1}{λ_g}=\frac{1}{λ_0^2} +\frac{1}{λ_c^2} \)The question was posed to me in a national level competition.I want to ask this question from Standing Wave Ratio Method topic in division Modern Antennas & Antenna Measurements of Antennas

Answer»

The correct answer is (a) \(\frac{1}{λ_0} =\sqrt{\frac{1}{λ_g^2} +\frac{1}{λ_c^2}} \)

To elaborate: The RELATION between the λg, λc, λ0 is GIVEN by \(\frac{1}{λ_g^2} =\frac{1}{λ_0^2} -\frac{1}{λ_c^2} \)

⇨\(\frac{1}{λ_0} =\sqrt{\frac{1}{λ_g^2} +\frac{1}{λ_c^2}}\)

and \(λ_0=\frac{c}{f}.\)


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