Gauss Law rec - Recitation - Gausss Law Name_ 1. Describe...

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Recitation - Gauss’s Law Name___________________________ 1. Describe electric flux (both in words and mathematical expression - be certain to describe the variables). 2. Suppose you have a uniform electric field E in the k direction. ( Report all answers in terms of E and r) Assume you have an area A 1 that is circular in shape with radius r lying in the xy-plane centered at the point (5,5,0). a. What is the electric flux through this surface in terms of E and r? ________________________ b. Now move the center of area A 1 to the point (-5,-10,3) but keep the plane of the circle parallel to the xy-plane. What is the electric flux through A 1 ? ________________________ Figure 1 c. Will the flux through A 1 change as long as I keep the plane of the circle parallel to the xy-plane? _________ d. Now tilt the circle at a 30° angle to the xy-plane. What is the electric flux through A 1 ? ________________________ e. Will the flux through A 1 change if I relocate the center and keep the 30° tilt? _________ f. Now imagine that our area is tilted to an even higher angle with respect to the xy-plane. ( Still less than 90°)
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Will the electric flux through A 1 increase , decrease or remain constant? ________________________ g. At what angle do we get no flux through A 1 ? _____________ Now suppose we use an Area A 2 shaped like a hemisphere (fig. #2) where the rim of the bowl is in the xy-plane and of radius r. h. What is the electric flux through A 2 ? ___________ i. Suppose we leave the rim where it is and assume the inside is made of rubber so we may stretch the inside part into any shape we want. What will the electric flux through A
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Gauss Law rec - Recitation - Gausss Law Name_ 1. Describe...

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