Electric Field Problem

A proton is moving parallel to a uniform electric field. The electric field accelerates the proton and increases its linear momentum to 5.0 10-23 kg · m/s from 1.5 10-23 kg · m/s in a time of 6.0 10-6 s. What is the magnitude of the electric field?

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16.62) Two small charged pieces of amber experiences a force when they are separted by a distance R. If the charge on each of the bodies is tripled and the separation between them is halved, what is the ratio of the new force to the original force between them?

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The hydrogen atom may be described as a postively charged proton surrounded by an orbiting, negatively charged electron. In a simple model, the electron is in a circular orbit of radius r= 5.29 x 10( to the negative 11) m about a stationary proton. The mass of the proton is mp= 1.67 x 10 (negative 27)kg and the mass of the proton me= 9.11 x 10 (negative 31)kg. The charge on the proton is +e, and the charge on the electron is , where e= 1.60 x( negative 19) C. (a) What is the Coulomb force between the proton and the electron? (b) What is the linear speed of the electron in its orbit? (c) What is the orbit frequency of the electron about the proton?

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16.70) A solid insulating sphere of radius R has an electric charge uniformly distributed throughout its volume. The charge per unit volume is p (a) Show that outside the sphere the electric field is given by E= pR3 divided by 3EOr squared, where r is the distance from the center of the sphere. (b) Show that the field inside the sphere is given by pr divided 3EO. (c) Deaw a graph of the field from r=O to r=3R. (Hint: Use Guass'[s law and rember that it is the total charge within the Gaussian surface that contributes to the electric field at the surface.)

The electric field and the force experienced by a charge.

16.72) Four equal charges of + 3.0 x 10(negative 7) C are placed on the corners of one face of a cube of edge length 10.0 cm. A charge of -3.0 x 10(negative 7) C is placed at the center of the cube. What are the magnitude and the direction of the force on the charge at the center of the cube?