An infinite, nonconducting sheet has a surface charge density σ = +9.64 pC/m2. (a) How much work is done by the electric field due to the sheet if a particle of charge q0 = 1.60 × 10-19 C is moved from the sheet to a point P at distance d = 3.13 cm from the sheet? (b) If the electric potential V is defined to be zero on the sheet, what is V at P?

A positive charge is evenly distributed on the surface of a metal sphere centered at the origin of the coordinate system. The positive charge produces an electric field that points outwardly in the radial direction. A positive test charge is fixed at a distance R₁ from the center of the coordinate system, far from the surface of the sphere. The electric potential at R₁ is 10V. The positive test charge is then allowed to move freely until it reaches a distance R₂=2R₁ from the center of the coordinate system. What is the electric potential (in Volts) of the test charge at its new resting point? 10

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.

Consider a very large, flat plate with surface charge density 2.06 nC/m2. Give the electric potential (in V) a distance 6.28 m from the plate. Take the plate itself to have zero electric potential.

A hollow metal sphere has a radius of 5.00 cm. If an excess charge of 50.0 uc resides on the sphere, what is the electric potential 10.0 cm from the surface of the sphere?

A rod of length L = 4.00 m with uniform charge of 9.50 nC/m is oriented along the y axis as shown in the diagram. P, (a) What is the electric potential at the location P1 whose coordinates are (0, -6.00 m)? V (b) What is the electric potential at the location P2 whose coordinates are (6.00 m, 2.00 m)?

It is known that the electric quantity Q is uniformly distributed on the spherical surface of radius R, that is, the electric charge per unit area isQ/4piR^2Find the electric potential distribution generated by this charged sphere in space.

The electric field in a region of space is described by E = <25.0x, 0,0> (N/C). An object moves from an initial lcoation on the y-axis at y = 0.750m to a final location on the x-axis at x = 1.250m. Calculate the change in electric potential.

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The thin plastic rod of length L = 18.2 cm in the figure has a nonuniform linear charge density λ= cx, where c= 24.8 pC/m. (a) With V=0 at infinity, find the electric potential at point P₂ on the y axis at y D=4.90 cm. (b) Find the electric field component Ey at P₂. (a) Number i (b) Number i D d- Units V Units V/m