Overview
From University Physics, Volume 2Links to an external site., read: Ch. 6, 7.3, 7.4, 7.6
Submit the problems. Please neatly show your work.
Gauss's Law (1-3) and Electric Potential (4-7):
- A flat sheet of paper of area 0.250 m2 is oriented so that the normal to the sheet is at an angle of 60° to a uniform electric field of magnitude 14 N/C. (a) Find the magnitude of the electric flux through the sheet. (b) Does the answer to part (a) depend on the shape of the sheet? Why or why not? (c) For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet (i) largest and (ii) smallest?
- A point charge q1=4.00 nC is located on the x-axis at x=2.00 m, and a second point charge q2=−6.00 nC is on the y-axis at y=1.00 m. What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius (a) 0.500 m, (b) 1.50 m, (c) 2.50 m?
- Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R=4.00 cm. At a distance of r=8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude E=940 N/C. What are (a) the volume charge density for the sphere and (b) the electric field at a distance of 2.00 cm from the sphere’s center?
- A 5 µC point charge is located at the origin and a second point charge of -2 µC is located on the x-axis at the position (3, 0) m. If the potential is taken to be zero at infinity, find the total electric potential at point P with coordinates (0, 4) m.
- Calculate a) the electric potential of a dipole at a point P on the x axis. Point P is located a distance +x from the center of the dipole. The dipole is centered on x = 0. b) the electric field if the point P is far from the dipole x>>a.[Image unavailable: Electric dipole.]
- A total electric charge of 3.50 nC is distributed uniformly over the surface of a metal sphere with a radius of 24.0 cm. If the potential is zero at a point at infinity, find the value of the potential at the following distances from the center of the sphere: (a) 48.0 cm, (b) 24.0 cm, (c) 12.0 cm.
- A high-voltage dc power line falls on a car, so the entire metal body of the car is at a potential of 10,000 V with respect to the ground. What happens to the occupants (a) when they are sitting in the car and (b) when they step out of the car? Explain your reasoning