Gauss’s law also helps us locate charge on conductors. There are several distinct pieces we need for this, listed below. Explain briefly why is each of them true. (a) The electric field inside a conductor (in the conducting material) is zero if the conductor is in static equilibrium (charges are not moving or at least not accelerating.) (b) The total charge on an isolated conductor (or, really, any object) is constant. (c) The net charge on the wall of a cavity in a conductor is equal to the opposite of the total charge that is floating inside the cavity. (d) Any excess charge on a conductor is all at the surfaces - including both the outer surface of the

A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.) (a) Find the components of the electric field at the point P on the y axis a distance d from the origin.   (b) What are the approximate values of the field components when d >> L?

please answer all parts

Electric field of a ring of charge 1. Consider a thin ring of radius R. The ring is uniformly charged with a total charge Q. Write an expression for the linear charge density à of the ring. 2. The ring has rotational symmetry. That means the object can be rotated about a fixed axis without changing the overall shape. Which one is this axis? (Call it axis of symmetry). Make a small sketch of the ring and its axis of symmetry. Your goal for the next parts is to calculate the net electric field due to the charged ring at a point P located at a distance z from the center of the ring along the axis of symmetry of the ring. 3. Make a sketch of the ring and the point P. Imagine to divide the ring in many tiny elements of charge dq. Inspecting the symmetry of the problem, what do you think will be the direction of the net electric field at point P? 4. Consider an element of charge dq on the ring, write the magnitude of the electric field due to this element of charge at point P. Introduce a…