Exam 22: Electric Fields and Gausss Law

A small charge of -11 $\mu$ C is in a constant vertical electric field E = 2.32 * 10³ N/C in the positive y-direction.If the acceleration of the charge is -0.80 m/s²,what is the mass of the charge? There is no gravity.

The electrons in a particle beam enter an electric field of 2000 N/C and are stopped in a distance of 1 m.What was the kinetic energy of one of these electrons prior to entering the electric field?

Four electric fields,E₁,E₂,E_3, and E₄ are produced at four different points,1,2,3,and 4 by charges q,2q,q,and 2q,respectively.If the distances of the four points from the charges are 10,10,20,and 20 cm,respectively,rank in order from largest to smallest their electric field strengths.

A + 8.0-nC point charge is located in the center of a thick conducting spherical shell.The shell has an inner radius of 1.0 m,an outer radius of 1.2 m,and a charge of -3.0 nC.What is the magnitude of the electric field at r = 0.5 m?

A point charge q is located at the center of a sphere of radius R.Also concentrically inside the sphere is a uniform ring having linear charge density $\lambda$ and radius a (a <R).The flux through the sphere is

A 63 g metal ball hangs from a string.An electric field,pointing to the right,is then turned on.After the electric field is turned on,the ball hangs at a 25 degree angle away from the vertical.If the charge on the ball is 1.4 *10^-5 C,what is the magnitude of the electric field?

A spherical Gaussian surface of radius R surrounds a point charge Q.If the radius of the sphere is doubled,the electric flux through its surface is

A metal sphere of radius R = 30 cm carries a total charge Q = 2.0 $\mu$ C.What is the magnitude of the electric field at a point 5 m away? The point is located on the positive x-axis,where the center of the sphere is located at the origin.

What is the electric field (in N/C)at point A?

The electric flux through a spherical Gaussian surface of radius R centered about an amount of charge Q is 1200 N/C m².What is the electric flux through a cubic Gaussian surface of side R centered about the same charge Q?

The figure shows a hollow conducting spherical shell with an inner radius of 8 cm and an outer radius of 10 cm.A charge,q,placed at the center of the shell causes an electric field at the inner surface of the shell,E_i,which has a magnitude of 80 N/C and points toward the center of the sphere.Additionally,there is an electric field at the outer surface,E_o,which has a magnitude of 80 N/C and points away from the center of the sphere.Determine the charge on the inner surface of the spherical shell.

An electric dipole is placed into a uniform electric field directed to the right as shown in the figure.What motion will the dipole have in this electric field?

What is the mass of an object with a net charge of + 10 mC whose weight is balanced by an electric field,E = 300 N/C,as shown?

An electric dipole has opposite charges of 5.0 * 10^-15 C which are separated by a distance of 0.50 mm.It is oriented in a uniform electric field of 1.0 * 10³ N/C.If the magnitude of the torque exerted on the dipole by the electric field is 1.05 * 10^-15 Nm,what is its orientation with respect to the electric field?