Charge is distributed throughout a spherical shell of inner radius r1 and outer radius r2 with a volume density given by rho = rho0r1 r , where rho0 is a constant. Determine the electric field due to this charge as a function of r, the distance from the center of the shell. (Use any variable or symbol stated above along with the following as necessary: ε0)

The required electric field is

E=rhor1/3€0r3(r1-r2)

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: