1) A cylinder of radius a = 6 cm and height h = 8.3 cm is aligned with its axis

Question

1) A cylinder of radius a = 6 cm and height h = 8.3 cm is aligned with its axis along the y-axis as shown. What is the total flux ? that passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.

2) Another infinite line of charge with charge density ?2 = -11.1 ?C/cm parallel to the y-axis is now added at x = 3 cm as shown. What is the new value for Ex(P), the x-component of the electric field at point P?

3) What is the total flux ? that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.

4) The initial infinite line of charge is now moved so that it is parallel to the y-axis at x = -3cm. What is the new value for Ex(P), the x-component of the electric field at point P?

5) What is the total flux ? that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.

Explanation / Answer

The answer starts at "Take the integral of the above from 1r to 3r" , the setting up starts next line.

? = (A)*(B)*(n)*cos(?) where
A is the area of the half circle
B is the magnetic field
n is the number of wires

Derive the formula to get
d? = [2*?*I*L*dx*cos(?)] / [2*?*x] where

cos(?) is 1

Take the integral of the above from 1r to 3r
[ (2*?*I*L) / (2*?) ] * ln(3)

remember ? is 4? X 10^-7

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.