4.13 An annular disk of inner radius a and outer radius b is placed on the xy-plane and centered at the origin. If the disk carries uniform charge with density p, find E at (0, 0, h).

Consider the situation shown in the figure below. An electric field of 300 V/m is confined to a circular area d = 10.3 cm in diameter and directed outward perpendicular to the plane of the figure. Consider that the field is increasing at a rate of 19.6 V/m .S. Eout P (a) What is the direction of the magnetic field at the point P, r upwards downwards = 15.1 cm from the center of the circle? (b) What is the magnitude of the magnetic field at the point P, r T = 15.1 cm from the center of the circle?

A circular arc of charge has a non-uniform linear charge density ^ = Asin(e) where 0 is as shown in the figure. Find an expression for the electric field at the center of the arc (the origin shown). क 8 X

A student measures the electric flux through a closed spherical surface of volume V to be X. She then removes the charge from inside the spherical surface and places it in a closed cylindrical surface of volume V/2. She then claims that the flux through the cylindrical surface is 2X. Is the student right or wrong ? Give reasons to your answersb) A uniform charged conducting sphere of 1.2m diameter has a surface charge density of 8.1µ c/m2 . Find;i) The net charge on the sphere. ii) What is the total electric flux leaving the surface of the sphere? Describe the changes to the magnitude and direction of the force on one of the charges in an electric dipole when the distance between the charges increase.