Consider an infinite sheet of charge in the xy-plane with uniform charge density Ps. The charge associated with an elemental area ds is:
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- A disk of radius R and mass M has a nonuniform surface charge density sigma = Cr, where C is a constant and r is measured from the center of the disk. find the constant c in terms of the mass M and R?Please AsapA solid insulating sphere of radius R =5.00 cm has a non-uniform charge density p = Por2, where r is measured from the center of the sphere and po is constant. Concentric with this sphere is a conducting spherical shell with inner radius a = 7.00 cm and outer radius b = 9.00 cm, having a net charge q = -1.00 µC. a) Find the value for the constant po (including units), given that the total charge on the insulating sphere is Q = 4.00 nC. Be sure to first derive expression in symbolic form in terms of Q, R. Box both the symbolic expression and the final answer. b) Derive an expression for electric field forr b. Box it. e) Draw an E vs. r graph and show the values for E at distances R, a, b.
- A total amount of positive charge Q is spread onto a thin non-conducting circular annulus of inner radius a and outer radius b. The charge is distributed in a way so that the charge density per unit area is given by ? =??3, where r is the distance from the center of the annulus to any point on it and k is a constant.(a) Find an expression for the total charge Q on the annulus. (b) Find an expression for the potential V at the center of the annulus in term of Q, a and bA ball of conductor of radius RE has total Charge 2Q and a concentric spherical cavity of radius R₁ > RE. At the exact center of the cavity is a charge 3Q. Find the charge q at the radius RE and supply the missing numerical factor below. q=1 QAn infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 28 µC/m³. Concentric with the cylinder is a cylindrical conducting 14.9 cm, and outer radius c = 17.9 cm. R(0,4) P(a4) shell of inner radius b = The conducting shell has a linear charge density A = -0.36µC/m. 47 cm from the origin along the 1) What is E,(R), the y-component of the electric field at point R, located a distance d = y-axis as shown? |-12.29*10^3 N/C Submit 2) What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (47 cm, 47 cm). 2.001*10^3 V Submit 3) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? |-1366.9 V Submit
- A cylindrical shell of length l and inner radius a and outer radius b carries a volume charge density given by ρ(r) = α/r where r is the distance to the axis of the shell and α a positive constant. Determine the total charge carried by the shell.A quarter-disc in the first quadrant has a surface charge density given by Kcos(φ)C/m2 . If the radius of the disc is b, calculate the electric field at a point P(0, 0, −h).