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).
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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).
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- answer is not zeroQuestion 5: Consider the following situation: A ring of radius R is centered on the x axis a distance l from the origin. The ring has a uniform electric charge density per unit length d, d > 0. Show that the electric filed at a location on the x axis, a distance l from the origin comes out to be Ē = 2nkeAlR (?+ R?}3/2 Hint: You will need to set up an integration for this problem.A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).
- Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by E, = 3.0 x 10° N/C. What is the linear charge density of the shell? 12.6 -Es r (cm) (a) (b) Number i -5.8 Units nC/mConsider a cylindrically symmetric distribution of charge. It consists of a tube of charge of radius 0.6 m with a linear charge density of 284.8 x 10-12 C/m that is surrounded by a second tube of charge of radius 4.1 m with linear charge density -188.5 x 10-12 C/m. Calculate the magnitude of the electric field, in N/C, 1.7 m away from the axis of the distribution. Use ?0ε0 = 8.85 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distancer from the common axis. The vertical axis scale is set by E, -4.5 x 10° N/C. What is the linear charge density of the shell? Number E r(cm) (A) Units 13.8
- A long nonconducting cylinder (radius 6.0 mm) has a nonuniform volume charge density given by ar, where a= 6.2 mC/m' and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?A spherical shell has a uniform volume charge density p = 2.0nC/m³, inner radius a = 9.0 cm, and outer radius b = 2.4a. What is the magnitude of the electric field at radial distance r = 2a?The figure below shows a non-conducting spherical shell with a charge density of ρ = + 2 x 10-6 C/m^3. If the inner and outer radii of the sphere a = 10 cm and b = 20 cm, respectively, find the electric field strength E as a function of the distance from the center of the sphere's shell r, with r from zero to 30 cm.