A rod sits horizontally along the x-axis with a continuous uniform charge distribution such that the  linear charge density λ is 0.025 C/m, with one end of the rod at the origin and the other end of the rod  at x = 0.35m. Find the electric potential at the point on the x-axis where x = 0.45 m given that the  potential an infinite distance from the rod is defined as being equal to zero.

A plastic rod has been bent into a circle of radius R = 5.03 cm. It has a charge Q, = +7.42 pC uniformly distributed along one-quarter of its circumference and a charge Q, distributed along the rest of the circumference (see the figure). With V = 0 at infinity, what is the electric potential (a) at the center C of the circle and (b) at point P, which is on the central axis of the circle at distance D = 6.91 cm from the center? -6Q1 uniformly P, Q2 R (a) Number Units (b) Number Units Click if you would lik

A long coaxial cable carries a positive uniform volume charge density, ρ, on theinner cylinder (radius a), and a negative uniform surface charge density, σ, of thecylindrical shell (radius b). The surface charge has a magnitude so that the cable asa whole is electrically neutral.                                                                                                                                                                                                    find the electric potential V atthe center of the coaxial cable, using s = infinity as a reference point

An isolated conducting sphere of radius r1 = 0.20 m is at a potential of -2000V, with charge Qo. The charged sphere is then surrounded by an uncharged conducting sphere of inner radius r2 = 0.40 m, and outer radius r3 = 0.50m, creating a spherical capacitor. (a)Draw a clear physics diagram of the problem. (b) Determine the charge Qo on the sphere while its isolated. (c)A wire is connected from the outer sphere to ground, and then removed. Determine the magnitude of the electric field in the following regions: R<r1 ; re<R < r2; r2< R < r3; r3 < R (d)  Determine the magnitude of the potential difference between the sphere and the conducting shell. (e) Determine the capacitance of the spherical capacitor.

A stick with a uniform linear charge density of λ = 8 nC/m lays on the x axis from x = 6 m to 10 m.Find the electric field and the electric potential at point P, at the origin, x = 0 m.

The electric potential is given by the following expression: V(x, y, z) = x²yz + 2y²z, where V is in volts. Determine the electric field (magnitude and direction) at point (1, 1, 2).

In a certain region of space, the electric potential is V(z,9,2) = Czy – Ar + By %3D where A, B and C are positive constants. Calculate the r, y and z components of the electric fiekd.

A Uniform electric field of magnitude 300 N/m is directed parallel to the +X axis. The electric potential at the origin is equal to 150 volts. Determine the electric potential: on x-axis at x = 15 cm and x = -15 cm   on y-axis at Y = 6 cm at point (6 cm, 4.5 cm)

A thin ring of radius R and uniformly distributed total charge q is located in the xy-plane with its center at the origin. (a) (5 stig) Show that the electric potential on the central axis (the z-axis) of a distance z from the rings center is given by, V = 1 q 4π€о √R² + 2² (b) (5 stig) Using this result, derive an expression for the electric field at any point along the z-axis.

A disk of radius R has a nonuniform surface charge density sigma = Cr, where C is a constant and r is measured from the center of the disk. Find (by direct integration) the potential at P.