A charge distribution creates an electric potential that obeys the function:V(x) = 2x3-5x-x 1 A) Find...
(20 pts) Given an electric potential V-2x3 + y, find a symbolic equation for the electric field and charge density everywhere.
3. (20) A spherically symmetric charge distribution creates the following electric field (2) E E,r with 20 r r < a for 4meoa3 (3) E,= Q 4mor2 for r> a where Q and a are positive constants of suitable units. (a) Draw a graph of E, for 0 <r3a; please label your graph clearly (b) Calculate the charge distribution that generates this electric field. (c) Draw a graph of the charge distribution for 0 <r< 3a; please label your graph...
3. The electric potential of a charge distribution is equal to V(x, y, z) = a + b xy + cz?, where a, b, c are constants. Write down the electric field as a function of the coordinates (x, y, z) (5 pts.)
1. A distribution of positive charge creates an E-field that fills the space around the distribution such that the the electric potential at x = 10 m has a bigger magnitude than at x = 20 m. Assume that the charge causing the field is all to the left of x = 0. Given this information, which of the following is not possible? (A). The E-field at x = 10 m is directed along the +x axis. (B). The E-field...
A particular charge distribution produces an electric field along the x-axis of the form, a/x2, where a is a positive constant. Find the expression for potential difference, on the x-axis, between x = A and x = B. That is, find V (B) – V (A). What charge distribution produced this?
DQuestion 2 3 pts A point charge creates an electric field in the positive y-direction with a strength of 1.13 x 105 Nat a specified location. Nearby, another positive test charge creates an electric field with a strength of 0.56 × 10°-in the negative x-direction at the same specific location. What is the magnitude of the total electric field at the specified location? 1.26 x 105 N 0 1.69 × 105 0 1.19 x 105-N 0.57 × 105
Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L having a uniform charge density lambda = 10^-6 C/m and length L=10 cm. Find the electric potential at point P, which is at a distance Z=5 cm. above the midpoint of the line. where In is the natural logarithm. Consider two charged conducting spheres, radii r1 and r2, with charges q1 and q2, respectively. The spheres are far away from each other but connected...
Electric Potential!
O A Positive charge to located at the point (-b,o) and a negative charge -q located at (ajo) in the Cartesion coordina System. Both a and b are positive constant. Denue an expression for eleemic poantal, Von X-axis. Find the poinct at which he polen mal is o on X-ax) Roy. Using your expression for elechic potentral , find electric field on x-anis for xya. ① Plod Eusy in same plocht. ② Plot E=-dul dx 6 What are...
A surface charge distribution S = 2 nC/m2 exists on the body of an infinite cylinder of radius 2 m; the z axis is the axis of this cylinder. Surrounding this surface charge distribution is a volumetric charge density V = 4(1 + r) nC/m3 which exists for 3 < r < 4 where r is the cylindrical coordinate in meters. We will attempt to determine the fields produced by these sources using Gauss's Law. (a) Choose a coordinate system...
A point charge at the origin of a coordinate system produces the electric field E⃗ =(56000N/C)x^ on the x axis at the location x = -0.75 m . Determine the sign of the charge. Determine the magnitude of the charge. Express your answer using two significant figures.