An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign. a. Which direction does the electric field point in, at the point. b. Suppose you moved the problem left or right, or rotated the problem about the x-axis. How does the problem change? c. Pick a shape for your Gaussian surface. Since you don't know the value (or expression) for E, you must pick a surface where the electric flux is either EA or zero. (E must be uniform over the surface for EA.) d. Write your expression for the flux, and your expression for the charge inside the surface. e. Solve the Gauss's Law equation for E. f. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field. g. If a proton is at the point, calculate the force on the proton and its acceleration.
An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign.
a. Which direction does the electric field point in, at the point.
b. Suppose you moved the problem left or right, or rotated the problem about the x-axis. How does the problem change?
c. Pick a shape for your Gaussian surface. Since you don't know the value (or expression) for E, you must pick a surface where the electric flux is either EA or zero. (E must be uniform over the surface for EA.)
d. Write your expression for the flux, and your expression for the charge inside the surface.
e. Solve the Gauss's Law equation for E.
f. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field. g. If a proton is at the point, calculate the force on the proton and its acceleration.
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