A disk of radius R is sprayed with a charged paint so that the resulting charge density varies continually with radial distance, r, from the center of the disc according to σ = σ0 r/R Observation point P is located on the symmetry axis at a distance hℎ above the plane of the disc, as shown.   If R=5.65 cm, h=10.97 cm and σ0=7.03 nC/m2, then what is the potential, in volts, at observation point P?

The potential in a region of space due to a charge distribution is given by the expression V = ax?z + bxy - cz? where a = -4.00 V/m3, b = 7.00 V/m2, and c = 4.00 V/m2. what is the electric field vector at the point (0, -9.00, -8.00) m? Express your answer in vector form. E = 63i + 64k Note that the potential is a function of three variables. Review rules for partial differentiation. V/m

A total charge of -94.0 nC is uniformly distributed throughout a non-conducting sphere with a radius of 5.00 cm. The electric potential at r = 15.0 cm, relative to the potential far away, is _______ V.

An isolated charged soap bubble of radius Ro = 4.65 cm is at a potential of V= 283.0 volts. If the bubble shrinks to a ridios that is 39.0% of the initial radius, by how much does its electrostatic potential energy U change? Assume that the charge on the bubble is spread evenly over the surface, and that the total charge on the bubble remains constant. AU = Upd- Unl = TOOLS x10