If the electric potential is zero at infinity, is the electric potential at the surface of a conductor with a total charge Q where Q < 0 positive or negative
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If the electric potential is zero at infinity, is the electric potential at the surface of a conductor with a total charge Q where Q < 0 positive or negative?
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- An electric dipole consists of two charges of equal magnitude and opposite sign separated by a distance 2a as shown in the figure below. The dipole is along the x axis and is centered at the origin. The electric potential at point R on the positive x axis is given by the following equation: 2kega VR = K₂ Z = K₂ VR = lim When x is much greater than a, the following approximation can be used: 2k ga 2kega x2-a² (x >> a) +² R + x>>a V = (a) Use the information above to find the electric potential created by the dipole described above at the point (3a, 0). (Use any variable or symbol stated above along with the following as necessary: K₂.) (b) By what percentage does your answer differ from the result of the approximate expression that is valid when x is much greater than a. %Is the electric potential necessarily constant over the surface of a conductor? True or FalseSuppose a uniform electric field of 15 N/C is in the positive x direction. When a charge is placed at and fixed to the origin, the resulting electric field on the x-axis at x =-4 m becomes zero. What is the magnitude of the electric potential at x = 10 m on the x-axis at this time?
- The electric potential at points in an xy plane is given by V = (2.5 V/m2)x² -(3.6 V/m²)y². What are (a) the magnitude of the electric field at the point (2.3 m, 1.8 m) and (b) the angle that the field there makes with the positive x direction. (a) Number Units (b) Number UnitsA hollow metal sphere has a potential of +380 V with respect to ground (defined to be at V = 0) and has a charge of 4.4 x 10-⁹ C. Find the electric potential at the center of the sphere. Number i Units +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 conducting sphere of radius 5.0 cm is given a net amount of charge of 3.0 x109 C. Note: 109 C = 1 nC (1 nanocoulomb). What is the potential at a distance of 0.55 m from the center of the sphere? Assume that the electric potential at a very large distance from the sphere equals zero. V = VIf the electric potential is given by V(x, y) = (12 V/m2) x2 + (3 V/m) y determine the magnitude of the electric field, in V/m, at the origin.The electric potential of a dipole is E= KQd/((d/2)2+a2))3/2 Find the electric potential V by integrating the elctric field
- If the electric potential along the x-axis is V = 300 x2 V, where x is in meters, what is Ex at x = 4.00 m? 1.20E+03 V/m 2.40E+03 V/m -1.20E+03 V/m -2.40E+03 V/mThe figure shows a thin plastic rod of length L = 14.5 cm and uniform positive charge Q = 56.6 fC lying on an x axis. With V = 0 at infinity, find the electric potential at point P₁ on the axis, at distance d = 3.75 cm from one end of the rod. Number Units P₁ D P₂ -XThe value of potential energy per unit positive charge is referred to as the electric potential. True False