The figure shows a very large non-conducting sheet that has a uniform surface ch
ID: 2132850 • Letter: T
Question
The figure shows a very large non-conducting sheet that has a uniform surface charge density Rho (assume Rho < 0). The conducting plane intersects the x-axis at x = 0. A particle of charge Q (assume Q > 0) is a distance d from the sheet. Both are fixed in place. Our goal in this problem is to find the point(s) on the x-axis where the electric field equals zero.
a. First, consider points to the right of the plane (i.e. x > 0). Is there point along the x-axis between the plane and the point charge where the net electric field equals zero? Explain. Hint: you can answer this question without performing a calculation.
b. Is there a point along the x-axis to the right of the point charge where the electric field equals zero? Explain. Hint: you can answer this question without performing a calculation.
c. If you answered yes to either (a) or (b), at what point(s) to the right of the plane is the net electric field equal to zero values? In other words, find the positive value(s) of x where the net electric field equals zero. Put your answer in terms of Rho, Q, d, and physical constants.
d. Under a certain condition, the net electric field equals zero at a point to the left of the plane (i.e. at a negative x value). Under what condition will there be a point to the left of the plane where the net electric field equals zero? Explain.
e. Assuming that the condition in your answer for part (d) is satisfied, at what point to the left of the plane is the net electric field equal to zero? In other words, find the negative value of x where the net electric field equals zero. Put your answer in terms of Rho, Q, d, and physical constants.
The figure shows a very large non-conducting sheet that has a uniform surface charge density Rho (assume Rho 0) is a distance d from the sheet. Both are fixed in place. Our goal in this problem is to find the point(s) on the x-axis where the electric field equals zero. First, consider points to the right of the plane (i.e. x > 0). Is there point along the x-axis between the plane and the point charge where the net electric field equals zero? Explain. Hint: you can answer this question without performing a calculation. Is there a point along the x-axis to the right of the point charge where the electric field equals zero? Explain. Hint: you can answer this question without performing a calculation. If you answered yes to either (a) or (b), at what point(s) to the right of the plane is the net electric field equal to zero values? In other words, find the positive value(s) of x where the net electric field equals zero. Put your answer in terms of Rho, Q, d, and physical constants. Under a certain condition, the net electric field equals zero at a point to the left of the plane (i.e. at a negative x value). Under what condition will there be a point to the left of the plane where the net electric field equals zero? Explain. Assuming that the condition in your answer for part (d) is satisfied, at what point to the left of the plane is the net electric field equal to zero? In other words, find the negative value of x where the net electric field equals zero. Put your answer in terms of Rho, Q, d, and physical constants.Explanation / Answer
A) yes.....Electric field is produced by sheet and point charge are in oppisite directions.they will cancels.hence net electric field = 0
B)no.right side of point charge.electric fields produced by sheet and point charge are in same direction.hence they will add up.not canceled.
C)for part (A).....
electic field produced by plane =Electric field produced by point charge
[ sigma/(2*eo)] = [k.Q/(d-x)^2]...
x=[d-sqrt(k.Q.2*eo/sigma)]........from point charge.........
D) either any one of the charges of plane or point charge becomes negative.....on left of the plane E_net =0.....since both electric field in opposite direction canceles
E)x= - [d + sqrt(k.Q.2*eo/sigma)]
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