Chapter 22, Problem 032Your answer is partially correct. Try again.In the figure positive charge q = 8.50 pC is spread uniformly along a thin nonconducting rod of length L 14.0 cm, what are the (a) x-and (b) y-components of the electric field produced at point P, at distance R = 6.00 cm from the rod along its perpendicular bisector?Units(a) NumberN/C or V/mUnitsT N/C or V/m

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Asked May 3, 2019
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Chapter 22, Problem 032
Your answer is partially correct. Try again.
In the figure positive charge q = 8.50 pC is spread uniformly along a thin nonconducting rod of length L 14.0 cm, what are the (a) x-and (b) y-
components of the electric field produced at point P, at distance R = 6.00 cm from the rod along its perpendicular bisector?
Units
(a) Number
N/C or V/m
UnitsT N/C or V/m
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Chapter 22, Problem 032 Your answer is partially correct. Try again. In the figure positive charge q = 8.50 pC is spread uniformly along a thin nonconducting rod of length L 14.0 cm, what are the (a) x-and (b) y- components of the electric field produced at point P, at distance R = 6.00 cm from the rod along its perpendicular bisector? Units (a) Number N/C or V/m UnitsT N/C or V/m

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Expert Answer

Step 1

(a) Due to the symmetry, the x-component of the electric field as a point lying on the perpendicular bisector of the rod is zero. The electric field due to the charge element on left portion of the rod cancels with electric field due to the charge element on right portion.  That is  Ex = 0.

b) The electric field at a point on the perpendicular bisector at distance R from the rod is shown in the following diagram. The electric field at P due to a small line element dx can be calculated using Coulombs law as follows.

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Step 2

There is symmetrical line element at exactly opposite side of the line charge. The electric field due to that line element is same as calculated above. The sum of y component of electric field due to both line element dx  is given below.

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Step 3

Integrate above equation within a limit of L/2 to 0 to get x...

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