Two point charges, -10.7μC and 25.038 μC, are placed at x = 0 cm and x = 4 cm, respectively. Consider the x-axis directed to the right. Answer in SI units. (a) At what point along the x-axis is the electric field zero? (b) At what points along the x-axis is the electric potential zero (leftmost first)? Let V = 0 at r = ∞.

A uniform electric field of magnitude 295 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point  are  (−0.300, −0.750) m,  and those of point  are  (0.750, 0.450) m.  Calculate the electric potential difference VB − VA using the dashed-line path.

A uniform electric field of magnitude 336 V/m is directed in the positive x-direction. Suppose a 19 µC charge moves from the origin to point A at the coordinates, (20 cm, 53 cm). What is the absolute value of the change in potential from the origin to point A? Answer in units of V.

In the figure a plastic rod having a uniformly distributed charge Q = -29.9 pC has been bent into a circular arc of radius 4.32 cm and central angle 120°. With V = 0 at infinity, what is the electric potential in volts at P, the center of curvature of the rod? Number i Units R Q

An electric potential produced by some distribution of charge in a region is given by the equation V= 4xy2 - 3z²x + 15y²z with V in volts and the coordinates in meters. Determine the z-component of electric field (in kV/m) at the point (1.0, 3.0, 2.0) m.

A charge of uniform density (59 nC/m) is distributed along the x axis from the origin to the pointx = 19.8 m. What is the electric potential (relative to zero at infinity) at a point, x = 83 m. on the x axis?

In the figure a plastic rod having a uniformly distributed charge Q = -27.2 pC has been bent into a circular arc of radius 1.82 cm and central angle 120°. With V = 0 at infinity, what is the electric potential in volts at P, the center of curvature of the rod? Number i Units + Q

A uniform electric field of magnitude 350 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point are (-0.550, -0.400) m, and those of point Bare (0.200, 0.850) m. Calculate the electric potential difference VB - VA using the dashed-line path. V TE x

A charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity.  V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =

A thin plastic rod of length d = 1.3 m lies along the x-axis with its midpoint at the origin. The rod carries a uniform charge density of λ = 9.5 nC/m. The point P is located along the y-axis at (0,y = 55 cm).   Calculate the electric potential at P, in volts.