A solid spherical ball of radius R = 2.5 cm contains a uniform charge Q =...
A solid, spherical plastic ball (of radius a) is given a net charge of +4Q Coulombs. The charge is distributed uniformly throughout the volume of the ball. a.) Determine the total charge enclosed by a Gaussian surface of radius r = a/2 b.) Use Gauss's Law to determine an expression for the electric field at r = a/2. Use the symbol kE in your answer. Do not forget to include a unit vector, since the electric field is a vector.
Q1) A spherical conductor (radius = 1.0 cm) with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm, outer radius = 4.0 cm) which has a total charge of -3.0 pC. What is the magnitude of the electric field 2.0 cm from the center of these conductors. Q2)A charge is uniformly distributed along the entire x-axis. If each 20 cm length of the x-axis carries 2.0 nC of charge. What is the...
A solid insulating sphere of radius a = 0.3 m, carries a total charge Q = 225 pc distributed uniformly throughout its volume. Find the electric flux (in Nm/C), through a concentric Gaussian spherical surface of radius r = 0.2 m, as shown in the figure. Gaussian sphere Select one: a. 85.81 b. 7.54 c. 25.43 d. 15.01 e. 50.62
A nonconducting sphere has a radius R=2.5 cm and uniformly distributed charge q=4.5e-12 C. Take the electric potential at the sphere's center to be zero. What is V at radial distance r=2.2 cm?
A charge q is distributed uniformly throughout a nonconducting spherical volume of radius R. Show that the potential a distance a from the center, where a < R, is given by V= q(3R2 -a2)/(8*pi*R3*constant) The constant is e=(8.85*10^-12)
A solid non-conducting sphere (R = 10 cm) has a charge of uniform density 50 nC/m3 uniformly distributed throughout its volume. (a) Determine the magnitude of the electric field 20 cm from the center of the sphere. (b) Determine the magnitude of the electric field 5 cm from the center of the sphere. Hint: first calculate the charges inside the assumed Gaussian surfaces, assume π = 3. Answer: 45 N/C, 90 N/C.
A charge of −22 µC is distributed uniformly throughout a spherical volume of radius 19.0 cm. Determine the electric field (in N/C) due to this charge at the following distances from the center of the sphere. (Enter the radial component of the electric field.) a) 7cm b) 16cm c) 30 cm
A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the potential difference from the sphere's surface to its center. Express your answer in terms of the variables R, Q and Coulomb constant k. V ( R ) − V ( 0 )= =
A spherical, non-conducting shell of inner radius r = 10 cm and outer radius r * 15 cm carries a total charge 0 = 15 C distributed uniformly throughout its volume. What is the electric field at a distance - 12 cm from the center of the shell? Select one a. 5.75 x 10 NIC b. 2.87 x 10 NIC 2.5.75 x 10 NIC d. 2.87 x 10² Nic
A spherical ball of charge has radius R and total charge Q. The electric field strength inside the ball(r ? R) is E(r)=Emax(r^(4)/R^(4)). 1) What is Emax in terms of Q and R? 2) Find an expression for the volume charge density ?(r) inside the ball as a function of r.