Charge of uniform density 50 nC/m3 is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 5.0 cm). Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod) and point B (4.0 cm from the axis).

magnitude of the potential difference is  -1.7 V

Explanation:

given data

Charge of uniform density σ = 50 nC/m³ = 50 × C/m³

radius = 5.0 cm = 0.05 m

point A = 2 cm = 0.02 m

point B = 4 cm = 0.04 m

solution

as we know inside rod, we construct a cylindrical Gaussian surface of length L and radius r  around the axis.

so  electricfield is always perpendicular to the lateral surface area -2πrL

so that

E =   ..........1

E =    

E =  

Δv = - ∫ E.dr

Δv =          

put here value

Δv =        

Δv =  

Δv =  

Δv  = -1.7 V

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.