A CD disk of radius ( R = 3.0 cm ) is sprayed with a charged paint so that the charge varies continually with radial distance r from the center in the following manner: σ = − (6.0 C/m)r / R . Find the potential at a point 4 cm above the center.

Two charged particles create an electric potential, and everywhere in the xy-plane this potential is described by the following function. 32.0 V 50.0 V √(x + 1.18 m)² + y² x² + (y - 2.30 m)² Determine the charge and coordinates for the position of the two particles. Give the charge (in nC) and coordinates (in m) for the position of the particle responsible for the first term first. first term 91 = X = 92 = V = y = Give the charge (in nC) and coordinates (in m) for the position of the particle responsible for the second term. X = y = nC m m nC 3 3 8 m

Еход In an Oxy plane, we for Charge + 1.μC at the charge a Particle A with a Particle B with origin +2μC at (x = 4m, yzom), a particle c with charge -3μ6 at (x = 4m, y=3m) and a Particle & with charge - teμe at (x=0m, y z 3m). Determine the electric potential at the location, where particle D os y DQ found. A① BD 3m ' 1 B 2 3

A plastic disk of radius R = 72.2 cm is charged on one side with a uniform surface charge density 7.67 fC/m², and then three quadrants of the disk are removed. The remaining quadrant is shown in the figure. With V = 0 at infinity, what is the potential in volts due to the remaining quadrant at point P, which is on the central axis of the original disk at distance D = 0.429 cm from the original center? D

A charge of uniform density (27 nC/m) is distributed along the x axis from the origin to the point x = 24.5 m. What is the electric potential (relative to zero at infinity) at a point, x = 76.5 m, on the x axis?

In the figure set V=0 at infinity and let the particles have charges q1= +q= -3.60 *10^-5 C and q2= -6q. They are separated by d=45 cm, with q1 located at the origin. Locate any points on the x axis at which the net potential due to the two particles in zero. What is the positive position? What is a negative position?

A metal sphere with radius 1.10 cm is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb = 9.10 cm. Charge +q is put on the inner sphere and charge −q on the outer spherical shell. The magnitude of q is chosen to make the potential difference between the spheres 400 V, with the inner sphere at higher potential. Calculate q. Express your answer in coulombs. q=__C

A charge of uniform density (51 nC/m) is distributed along the x axis from the origin to the point x = 10.2 m. What is the electric potential (relative to zero at infinity) at a point, x = 77.1 m, on the x axis?

Q.1: Point charges q1(-4.0µC), q2(3.0µC), q3(-2.0µC) and q4(5.0µC) are placed on a line with equal separation d in vacuum. Find the potential due to these charges at point P, which lies on y- axis. Given di = 8.0cm and d = 6.0cm. 94 eb P zb P tb

A charge of uniform density (56 nC/m) is distributed along the x axis from the origin to the point x = 15.1 m. What is the electric potential (relative to zero at infinity) at a point, x = 70.8 m, on the x axis?