1.

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.

Answer»

Magnitude of `vecE`, increases with the increase in (Keeping CHARGE density same)
Magnitude of `E`, decreases, with increase in (keeping total charge same)
If charge density is `sigma` and `a=1m`, magnitude of `E` is equal to `(7sigma)/(44epsilon_(0) In sqrt(2)`
If charge density is `sigma` and `a=2m`, magnitude of `E` is equal to `(7sigma)/(22epsilon_(0))In sqrt(2)`

SOLUTION :`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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