electric-charges-and-fields Question 50

Question: Q. 9. Given a uniformly charged plane/sheet of surface charge density σ=2×1017C/cm2.

(i) Find the electric field intensity at a point A,5 mm away from the sheet on the left side.

(ii) Given a straight line with three points X,Y and Z placed 50 cm away from the charged sheet on the right side. At which of these points, the field due to the sheet remains the same as that of point A and why?

A&E [CBSE SQP 2016]

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Solution:

Ans. (i) At point A,E=σ2ε0=2×10172×8.85×1012

(1)=1.12×1028 N/C

(ii) At point Y, Because at 50 cm, the charge sheet acts as a finite sheet and thus the magnitude remains same towards the middle region of the plane sheet.

[CBSE Marking Scheme, 2016] 1½



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