The electric potential in a particular region of space varies only as a function of y-position and is given by the function : V(y)=(4.34y ^2 +15.4y+75.6) Volts. Calculate the magnitude of the electric field at the position y=29.5 meters.
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If the electric potential in a certain region of space is given by ? = 2?-???2 where V is in volts and xyz in meters, determine the electric field, in vector form, at point (0, 1, 2).
Part c) Determine the magnitude of the electric field at the position x = 4 m. ________ V/m (#565675) Electric Field from Potential) An electric field of varying magnitude is directed in the positive x-direction throughout a region of space. The field magnitude varies only along the x-direction. Part a Which of the following statements is true about the relationship between the electric field and the voltage in this region of space. Select the correct answer O The voltage is...
Over a certain region of space, the electric potential is V = 2x - 5x2y + 2yz2. Find the expression for the x component of the electric field over this region. (Use the following as necessary: x, y, and z.) Ex = Find the expression for the y component of the electric field over this region. Ey = Find the expression for the z component of the electric field over this region. Ez = What is the magnitude of the...
Over a certain region of space, the electric potential is V- 2x - 5x2y2yz2 Find the expression for the x component of the electric field over this region (Use the following as necessary: x, y, and z.) Find the expression for the y component of the electric field over this region Find the expression for the z component of the electric field over this region. What is the magnitude of the field at the point P, which has coordinates (2,...
The electric potential V in the space between two flat parallel plates 1 and 2 is given (in volts) by V = 2200x2, where x (in meters) is the perpendicular distance from plate 1. At x = 1.7 cm, (a) what is the magnitude of the electric field and (b) is the field directed toward or away from plate 1?
There is a region of space where the electric potential has the form V(x,y) = (x^2)y + 8x - 36y. At what position(s) is the electric field vector in this same region exactly zero?
The electric potential in a region of space is V= (350Vm) / ( sqrt(x^2 + y^2 ), where x and y are in meters. A: What is the strength of the electric field at (x,y)=(2.6m,2.4m)? E= ? V/m B: What is the direction of the electric field at (x,y)=(2.6m,2.4m)? Give the direction as an angle ccw from the positive x-axis. Express your answer using two significant figures.
Over a certain region of space, the electric potential is V= 4x-7x2y + 2yz2. Find the expression for the x component of the electric field over this region. (Use the following as necessary: x, y, and z.) Find the expression for the y component of the electric field over this region Find the expression for the z component of the electric field over this region What is the magnitude of the field at the point P, which has coordinates (4,...
Over a certain region of space, the electric potential is V = 8x − 7x2y + 3yz2. (a) Find the expressions for the x, y, z components of the electric field over this region. (Use any variable or symbol stated above as necessary.) Ex = Ey = Ez = (b) What is the magnitude of the field at the point P that has coordinates (1.00, 0, -9.00) m?
2. A region of space has a potential distribution that can be written as V(x, y, z) = -14xyz + 142 Volts, where x, y, and z are given in meters. a. (7 points) How much work is required to place a +10 uC charge at coordinates (x,y,z) = (10 m, 10 m, 10 m)? b. (7 points) What are the x-, y, and z-components of the electric field at coordinates (x,y,z) = (10 m, 10 m, 10 m)?