(Challenge Problem) Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m5). Determine the electric field due to the charge at points both inside and outside the sphere. Give your answers in terms of 'pi', 'alpha', R, k, and r. Determine the total amount of charge in the sphere. Qencl = (4- alpha - R5) 5 What is the electric field outside the sphere? E(r > R) = k ( 4n · alpha · R²) 4π 5 2.2

Please solve and answer the question correctly. Be sure to use the correct units and work the problem carefully. Thank you!!

Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 740 N/C. Part A What is the volume charge density for the sphere? Express your answer with the appropriate units. HA p = Value Units Part B What is the magnitude of the electric field at a distance of 2.00 cm from the sphere's center? Express your answer with the appropriate units. E= Value Units

Two point charges are located on a horizontal line as Shown in diagram on the right. The first small circle Represents the charge Q1 the left and small circle on right Q2 . In the middle between the two charges is point P. a) Find the net electric field due to the 2 charges at point P by finding the magnitude and direction of each one if Q1 =3μC and Q2 =5μC and distance between charges = 50 cm.