probsheet-gausslaw(Spring11)

probsheet-gausslaw(Spring11) - SPRING: 2010-11 P rob Sheet:...

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SPRING: 2010-11 Prob Sheet: Gauss’ law 1. A surface has the area vector 2 3 2 m ) j ˆ i ˆ ( A + = . What is the flux of an electric field through it if the field is (a) C / N i ˆ E 4 = and (b) C / N k ˆ E 4 = . 2. The square surface shown in the adjacent figure measures 3.2 mm on each side. It is immersed in a uniform electric field of 1800 N/C. the field lines make and angle of 35 0 with the normal to the surface as shown. Take the normal to be directed “outward”, as though the surface were one face of a box. Calculate the electric flux through the surface. 3. A point charge of 1.8 μ C is placed at the center of a cubical Gaussian surface 55 cm on edge. What is the electric flux through the surface? 4. At each point on the surface of the cube in the adjacent figure, the electric field is in the positive direction of z. the length of each edge of the cube is 3.0m. On the top surface of the cube C / N k ˆ E 34 - = , and on the bottom face of the cube C / N k ˆ E
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probsheet-gausslaw(Spring11) - SPRING: 2010-11 P rob Sheet:...

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