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# Problem: A radar for tracking aircraft broadcasts at 12 GHz microwave beam from a 2.0-m-diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffracts A. What is the diameter of the radar beam at a distance of 30 km? B. if the antenna emits 100 kW of power what is the average microwave intensity at 30 km?

###### FREE Expert Solution

A.

Angular resolution:

$\overline{){\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}{\mathbf{=}}{\mathbf{1}}{\mathbf{.}}{\mathbf{22}}\frac{\mathbf{\lambda }}{\mathbf{D}}}$ where D is the diameter of the slit.

Relationship between wave speed, frequency and wavelength:

$\overline{){\mathbf{c}}{\mathbf{=}}{\mathbf{f}}{\mathbf{\lambda }}}$

This problem involves diffraction of waves from a circular aperture.

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###### Problem Details

A radar for tracking aircraft broadcasts at 12 GHz microwave beam from a 2.0-m-diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffracts

A. What is the diameter of the radar beam at a distance of 30 km?

B. if the antenna emits 100 kW of power what is the average microwave intensity at 30 km?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Single Slit Diffraction concept. You can view video lessons to learn Single Slit Diffraction. Or if you need more Single Slit Diffraction practice, you can also practice Single Slit Diffraction practice problems.