The relationship of the flux through the curved surface and flat surface due to apositive charge placed outside the given surface.

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Chapter 19.3, Problem 1aTH

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The relationship of the flux through the curved surface and flat surface due to apositive charge placed outside the given surface.

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E. When E and A were parallel, we called the quantity EA the electric flux through the surface. For the parallel case, we found that EA is proportional to the number of field lines through the surface. By what trigonometric function of 0 must you multiply EA so that the product is proportional to the number of field lines through the area for any orientation of the surface? Rewrite the quantity described above as a product of just the vectors E and A.

Study the three-dimensional conductor in the figure, which has a cavity in the center. The conductor has an excess charge 1.4 uC on it. S1 What is the electric flux (in N-m2/C) through the Gaussian surface S1 shown in the figure? 91 =0 v Correct! Now put a point of charge 24.4 µC inside the cavity of the conductor. What is the flux (in N•m2/C) through the Gaussian surface S,? 1 =0 v Correct! Now consider the Gaussian surface S. With the charge still inside the cavity, what is the flux (in Nm2/C) through this surface? sin() cos() tan() 8 9 HOME cotan() asin() acos() 4 5 atan() acotan() sinh() *1|2 cosh() tanh() cotanh() +| - END O Degrees O Radians vol BACKSPACE DEL CLEAR

ELECTRIC FLUX Write the given and complete solution. 1. A uniform electric field E = 8000 N/C passing through a flat square area A = 10 m?. Determine the electric flux. 2. A disk of radius 196 mm is oriented with its normal unit vector fi at 60° to a uniform electric field E of magnitude 5.87 x 103 N/C. (a) What is the electric flux through the disk? (b) What is the flux through the disk if n is parallel to E. 60° 3. A hollow sphere has unknown charges distributed uniformly over its surface. At a distance of 0.63 m from the center of the sphere, the electric field points radially inward and has a magnitude of 4.56 x103 N/C. How much charge is on the sphere? 4. A flat rectangle is placed in a uniform electric field with a magnitude of 7.8 x 103 N/C. The electric flux through the rectangle when its face is 45° to the field lines is 89.75 Nm2/C. Find the width of the flat rectangle with a length of 9.45cm.