Two long straight parallel lines of charges, Q_1 and Q_2, carry positive charge

Question

Two long straight parallel lines of charges, Q_1 and Q_2, carry positive charge per unit lengths of lambda_1 and lambda_2, respectively, lambda_1 > lambda_2. The locus of points where the electric field in zero in this case is: a. At a point halfway between the lines. b. Along a line between the lines closer to line #1 than line #2 c. Along a line between the lines closer to line #2 than line #1 d. Along line #1. e. Cannot be determined Consider a spherical Gaussian surface of radius R cantered at the origin. A charge Q is placed inside the sphere. To maximum the magnitude of the electric flux through the Gaussian surface, the charge should be located. a. At the origin b. Anywhere inside the surface. c. At x = 0, y = 0, z = R/2 d. At x = 0, y = R/2, z = 0 e. At x = R/2, y = z = 0 When a negative charges is related and moves along an electric field line, it moves to a position of a. Lower potential and lower potential energy. b. Lower potential and higher potential energy. c. Higher potential and lower potential energy. d. Higher potential and higher potential energy. e. Decreasing magnitude of the electric field. A conducting sphere contains positive charge distributed uniformly over its surface. Which is about the potential due to this sphere is correct? a. The potential is lowest, but not zero, at the center of the sphere. b. The potential at the center of the sphere is zero. c. The potential at the surface is higher than the potential at the center. d. The potential at the center of the sphere is the same as the potential at the surface. e. The potential at the center is the same as the potential at infinity. If the potential in a region is given by V(x, y, z) = xy - 3z^-2, then the z component of the electric at region is x + y - 6z^-3

Explanation / Answer

6)

phi = E.dA

using gauss's law it can be anywhere inside the loop

9 )

Ez = dV/dz

Ez = -6z^-3

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