What is the magnitude of the electric field at the point (4.00 î - 9.00 ĵ + 3.90 k̂) m if the electric potential is given by V = 3.20xyz2, where V is in volts and x, y, and z are in mete

The electric potential in some region of space is given by V(x,y)=C1+C2x^2+C3y, where V is in volts, x,y are in meters, and C1, C2 and C3 are positive constants. Find the electric field E in this region.

For a spherical surface with radius 0.13 m and is charged by 49 nC, the electric Potential V at r = 0.26 m is (in V)

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.

The electric potential at x = 3.00 m is 120 V, and the electric potential at x = 5.00 m is 190 V. What is the x component of the electric field in this region, assuming the field is uniform? (a) 140 N/C (b) 2140 N/C (c) 35.0 N/C (d) 235.0 N/C (e) 75.0 N/C

The expression of the electric potential is given to be: V(x, y, z) = 14xy – 8x + 6z 1. What is the x-component of the electric field vector (E,)? O-14y + 8 O-14x O14y – 8 O-6 2. What is the y-component of the electric field vector (E,)? O-14y + 8 O-6 O14x 0-14x

The electric potential in a certain region varies with position as V(x) = ax2 - bx + c, where a = 2.3 V/m2, b = 18.5 V/m, and c = 9.5 V. (a)  Find the electric field vector E in this region in terms of the given variables. Be sure to include a unit vector for direction.  (b)  What is the magnitude of the electric field, in volts per meter, at x = 1.0 m? (c)  What is the direction of the electric field at x = 1.0 m? (d)  What is the magnitude of the electric field, in volts per meter, at x = 5.0 m? (e)  What is the direction of the electric field at x = 5.0 m?

In a certain region an electric potential V is present. An unknown charge Q is moved around this region between points at potential difference AV. A physicist measures the change in the potential energy AU as the charge is moved. The table below shows the data of the measurements. The unit for AV are MV (mega-Volts), the units for AU are kJ (kilo-joules). AV 57.1 29.9 16.7 9.97 8.55 8.32 6.52 6.87 Δυ 362.8 157.6 124.3 55.3 48.8 53.9 37.9 47.3 You want to find the value of the unknown charge Q in mC. Since AU = QAV make the plot y=mx where y=AU and x=AV. Use Excel, calculator or whatever you prefer. From the slope of the plot, calculate Q.

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 spherical conductor whose center is at point O and radius R = 20 cm, is given a charge Q = + 100 μC a. Calculate the electric potential at points A and B if the distance OA = 30 cm and the distance OB = 45 cm. b. How much work is required to move an electron from point A to point B?