Ahollow, conducting sphere with an outer radius of 0.240 m and an inner radius of 0.200 m has a uniform surface charge density of +6.67 × 10^−6 c/m^2. a charge of -0.600 μc is now introduced into the cavity inside the sphere. calculate the strength of the electric field at a distance 0.11 m from the center of the sphere.

446.28*10^3 N/C ( directed to center of the sphere)

Explanation: In order to explain this problem we have to use the electric field expression, which is given by:

E=k*q/r^2 where k is a constant equal 9*10^9 N/C^2*m^2, r is the distance from the charge to calculate the electric field.

Then we have,

E=(9*10^9*0.6*10^-6)/(0.11)^2= 446.28*10^3 N/C

Due to the negative point charge, the electric field is directed to the center of the sphere.

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: