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Consider a uniformly charged sheet ABCD,...

Consider a uniformly charged sheet `ABCD`, which is a part of an equilateral triangular sheet of a side a as shown in the figure.
Choose the correct options regarding the electric field `E` at point `O` due to this sheet.

A

a. Magnitude of `vecE`, increases with the increase in a (Keeping charge density same)

B

b. Magnitude of `E`, decreases, with increase in a (keeping total charge same)

C

c. If charge density is `sigma` and `a=1m`, magnitude of `E` is equal to `(7sigma)/(44epsilon_(0))ln sqrt(2) `

D

d. If charge density is `sigma` and `a=2m`, magnitude of `E` is equal to `(7sigma)/(22epsilon_(0))ln sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
`dE=2(1/(4piepsilon_(0)))(sigmadx)/x(1/2)`
`dE=(sigma)/(4piepsilon_(0)) (dx)/x`
`E=(7sigma)/(44epsilon_(0) In sqrt(2)`
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