Electric field can be found by the gradient of scalar potential. To find the electric field we have to find the gradient of given potential at that point. Please find the attached solution.
2 2 Зу The electric potential at points in an xy plane is given by V...
The electric potential at points in an xy plane is givenby V = (2.9 V/m2)x2 -(2.7V/m2)y2. What are(a) the magnitude of the electric field at thepoint (3.4 m, 1.9 m) and (b) the angle that thefield there makes with the positive x direction.
The electric potential at points in an xy plane is givenby V = (3.0 V/m2)x2 -(3.8V/m2)y2. What are(a) the magnitude of the electric field at thepoint (4.3 m, 1.7 m) and (b) the angle that thefield there makes with the positive x direction.
The electric potential at points in an xy plane isgiven by V = (2.2 V/m2)x2-(3.7 V/m2)y2. What are(a) the magnitude of the electric field at thepoint (3.3 m, 2.6 m) and (b) the angle that thefield there makes with the positive x direction. (a) Number Units N/C or V/m (b) Number Units ° (degrees)
The figure below shows two charges on an xy-plane.
a. Calculate the electric potential at points A, B, C, and
D.
b. Calculate the magnitude and direction of the electric field
at the origin (0,0).
c. On the figure, draw a few equipotential lines as well as
some electric field lines that indicate the direction of the
electric field.
d. Sketch the electric potential as a function of x, with x on
the horizontal axis and V(x) on the vertical...
The electric potential V in the space between the plates of a given vacuum tube is given by V = (4.50×102) x2, where V is in volts if x, the distance from one of the plates, is in meters. Calculate the magnitude and direction (sign) of the electric field at 2.880 cm.
The electric potential at a certain point is given by V = 2.4y3 - 5.6y, where V is in volts and x is in meters. What is the electric field at that point? Select one: a. 7.20y^2-5.6 V b. 0.00 V c. -0.80y^4 +5.6y^2 V d. 0.80y^4 -5.6y^2 V e. -7.20y^2 +5.6 V
The electric potential at a certain point is given by V = 2.473 -5.6y, where Vis in volts and x is in meters. What is the electric field at that point? Select one: O a. -0.80y^4 +5.6y^2 V O b. 0.00 V O c.7.20y 2-5.6 V O d. 0.80y^4 -5.6y 2 V e.-7.20y^2 +5,6 V
Electric Field Lines and Potential The figure shows the E-field in the plane of two point charges. Determine for each of the following statements whether it is correct or incorrect. 2 Incorrect The electric potential (volts) is larger at 'c' than 'e'. Incorrect The net charge Q1+Q2 is negative. Correct The E-field at 'b' points north. Incorrect The E-field at 'c is zero. Correct The E-field at 'b' points directly toward Q2. Incorrect The magnitude of the E-field at 'a'...
Consider two points in an electric field. The potential at point 1, V1 is 22 V. The potential at point 2, V2 is 168 V. An electron at rest at point I is accelerated by the electric field to point 2. Part (a) Write an equation for the change of electric potential energy ΔU of the electron in terms of the symbols given.Select from the variables below to write your expression. Note that all variables may not be required. Part (b) Find...
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.