(Optional) Consider a long whip antenna of the type used on some automobiles and trucks. Show that the natural frequencies of oscillation for the antenna are fm = mv/4L, where m = 1, 3, 5, . . .,v is the wave speed, and L is the length of the antenna. (Hint: The boundary conditions are a node and an antinode.)
(Optional) Consider a long whip antenna of the type used on some automobiles and trucks. Show that the natural frequencies of oscillation for the antenna are fm = mv/4L, where m = 1, 3, 5, . . .,v is the wave speed, and L is the length of the antenna. (Hint: The boundary conditions are a node and an antinode.)
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Transcribed Image Text:(Optional) Consider a long whip antenna of the type used on some automobiles
and trucks. Show that the natural frequencies of oscillation for the antenna are
fm = mv/4L, where m = 1, 3, 5,
the antenna. (Hint: The boundary conditions are a node and an antinode.)
v is the wave speed, and L is the length of
%3D
.
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Step 1
Given frequency equation compare with standard formula of frequency we can calculate wavelength, find node and antinode.
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