Question 1 a. A soccer goal, found is a city park, is made up of tubing that supports an odd-shaped hanging net behind the goal, but has a rectangular opening in front. The height of the opening is 2.5m and the width is 3.2m. If a uniform E-field, with a magnitude of 0.1N/C, passes through the goal from the front to the back, entering at 90 degrees to the plane of the goal opening, what is the flux through the net? Also, find the flux through the net if the E-field enters the goal at 60 degrees angle to the plane of the front goal. In both cases, assume that there no charge found inside the goal itself. CR (10) b. Show that the D field due to a point charge has a divergence of zero E(5)

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Chapter1: Units, Trigonometry. And Vectors
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Question 1
a. A soccer goal, found is a city park, is made up of tubing that supports an
odd-shaped hanging net behind the goal, but has a rectangular opening in
front. The height of the opening is 2.5m and the width is 3.2m. If a uniform
E-field, with a magnitude of 0.1N/C, passes through the goal from the front
to the back, entering at 90 degrees to the plane of the goal opening, what is
the flux through the net? Also, find the flux through the net if the E-field
enters the goal at 60 degrees angle to the plane of the front goal. In both
cases, assume that there no charge found inside the goal itself. CR (10)
b. Show that the D field due to a point charge has a divergence of zero E(5)
c.Find the charge in the volume defined 1 ≤ r ≤ 2m in spherical coordinates, if
P=
(c/m)

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