Aspherically symmetric charge distribution has a charge density given by rho = a/r , where a is constant. find the electric field as a function of r. (suggestion: the charge within a sphere of radius r is equal to the integral of rho dv, where r extends from 0 to r. to evaluate the integral, note that the volume element dv for a spherical shell of radius r and thickness dr is equal to 4πr2dr.) (use epsilon_0 for ε0, a, r, and r as necessary.)

A100-watt light bulb illuminates a solar cell. the electricity from the solar cell operates a water pump that delivers 1 watt of power. what is the efficiency of the system?

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.

Avehicle accelerates from 0 to 30 m/s in 10 seconds on a straight road