Figure shows a graph of E (V/m) as a function of x in m. The potential at the origin is -50 V. What is the electric potential at x = 3.0 m?
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- What is the capacitance of a parallel plate capacitor in vacuum? Sol. The basic definition for capacitance is: C = Since the electric potential can also be written as V = Ed Where, E is the electric field contribution of the parallel plate (two plane charge): = ol E0 %3D Sigma is the surface charge density given by: O= By, substitution, we get the capacitance of the parallel plate to be:The charge density on a disk of radius R = 13.0 cm is given by a = ar, with a = 1.44 µC/m³ and r measured radially outward from the origin (see figure below). What is the electric potential at point A, a distance of 34.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration. V R AImagine three concentric spherical conductive shells of radii 5 cm, 10 cm, and 15 cm charged with 4 µC, 11 µC, and -15 µC, respectively. What is the electric field at r=1.4 cm, r=12 cm, and r=21.8 cm? V/m, Enter an exact number. E1 = E2= V/m, E3= V/m. What are the electric potentials at these points? V1 = V, V2= V, V3= V.
- ASAP PLZZZZIn the coordinate system, particle 1 with charge q1 = q, where q = 3.2 μC, is located at coordinates (-a, 0) m, where a = 4.2 m; particle 2 with charge q2 = 2q is located at coordinates (a, 0); particle 3 with charge q3 = q is located at coordinates (0, a). a. What is the expression for the electric potential at the origin, V0, using the given symbols? b. Using α to denote the direction of the electric field at the origin E0, measured counterclockwise from the positive x-axis, find sin(α). c. Calculate the value of α, in degrees between 0 and 360°.A metallic sphere of radius 10 cm has a charge of 5μC. What is the electric potential at 5 cm
- Consider a uniformly charged solid sphere of radius R carrying total charge Q. Q V(R) = ATREO Derive an expression for the electric potential V(R) on the surface of the sphere? Enter your expression in terms of given quantities, the permittivity of free space €0, and rational and exact irrational numbers. Assume that the zero reference point for the potential is at the center of the sphere IncorrectA thin plastic rod 8.2 cm long carrying charge -0.022 µC is bent into a circular ring. What is the electric potential at the center of the ring, assuming V = 0 at infinity? Express your answer in kV, to at least one digit after the decimal point.SSD_W06_04 0/3 points (graded) R. +Q B R. The figure above shows a solid insulating sphere of radius R2 with charge -Q (Q > 0) distributed uniformly throughout the volume. This sphere is centered within a thin spherical shell of radius R1; a charge +Q is distributed uniformly on the surface of the spherical shell. Very far away from the sphere and the spherical shell, the electric potential is zero. Use k for Coulomb's constant. At point A on the surface of the spherical shell, what is the electric potential VA? VA = Point B is on the surface of the sphere. What is the potential difference, VB – VẠ? VB - VA = Point C is at the center of the sphere. What is the potential difference, Vo - VB? Ve - VB =
- The electric potential in a certain region is represented by the graph shown below. What is the electric force vector on an alpha particle that is at x = 0.70 cm and moving to the right? Express your answer in vector form. F = v (10° v) 10 6 5 4 3 2 1 X (cm) 6 1 2 3 4 5A line of charge with a non-uniform charge density λ=ay, where a=−10 nC/m2 lies along the y axis with one end at the origin and the other at y=h, where h=0.5 m. What is the total charge? What is the electric potential of this line charge at point P?The electric potential is given by the following expression: V(x, y, z) = x²yz + 2y²z, where V is in volts. Determine the electric field (magnitude and direction) at point (1, 1, 2).