A charge Q is at the origin. Find the electric flux through the square surface in the x ® z plane, bounded by the four points (Figure 2.17 in text) (0,b, 0), (b, b, 0), (b, b, b), (0, b, b). (4)
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- A Gaussian surface in the form of a hemisphere of radius r lies in a uniform electric field of magnitude E. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface. NOTE: Express your answers in terms of the given variables, using when needed. (a) What is the flux through the base of the surface? Φ (b) What is the flux through the curved portion of the surface? Φ =2.6An infinitely long cylindrical conductor of a radius r is charged with a uniformly distributed electrical charge, if the charge per unit length of it equal A coulomb/m. ( using gauss law) calculate the electric field at point d. d.
- (a) A particle with charge q is located a distance d from an infinite plane. Determine the electric flux through the plane due to the charged particle. (Use the following as necessary: & and q.) $E, plane = (b) A particle with charge q is located a very small distance from the center of a very large square on the line perpendicular to the square and going through its center. Determine the approximate electric flux through the square due to the charged particle. (Use the following as necessary: & and q.) $E, square= (c) Explain why the answers to parts (a) and (b) are identical.Find the electric flux through a single side of regular octahedron of the side a 4cm with the charge 180 nC placed at the geometric centre of it. Take k to be 8.99x10° N/C. Give your answer to the nearest tenth of Nm2/C. Your Answer:The electric field in a region of space near the origin is given by E(z, y, :) – E, (*) yî+ xî a (a) Evaluate the curl Vx E(x, y, z) (b) Setting V(0, 0, 0) = 0, select a path from (0,0, 0) to (x, y, 0) and compute V (r, y,0). (c) Sketch the four distinct equipotential lines that pass through the four points (a, a), (-a, a), (-a, -a), and (a, -a). Label each line by the value of V.