Gauss's law and Coulomb's law , although...

Gauss's law and Coulomb's law , although expressed in different forms , are equivalent ways of describing the relation between charge and electric field in static conditions . Gauss's law is `epsilon_(0) phi = q_(encl)`,when `q(encl)` is the net charge inside an imaginary closed surface called Gaussian surface. The two equations hold only when the net charge is in vaccum or air .
A Gaussian surface encloses two of the four positively charged particles. The particles that contribute to the electric field at a point `P` on the surface are

`q_(1)` and `q_(2)`

`q_(2)` and `q_(3)`

`q_(4)` and `q_(3)`

`q_(1) , q_(2) , q_(3)` and `q_(4)`

Text Solution

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The correct Answer is:

Electric field is always net electric field in the formula `int E . Ds = (q)/(epsilon_(0))`
Since `q` is the charge inside the closed surface , `E_(p)` is due to `q_(1) , q_(2) , q_(3) , and q_(4)`.

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Gauss's law and Coulomb's law , although expressed in different forms , are equivalent ways of describing the relation between charge and electric field in static conditions . Gauss's law is epsilon_(0) phi = q_(encl) ,when q(encl) is the net charge inside an imaginary closed surface called Gaussian surface. The two equations hold only when the net charge is in vaccum or air . The net flux of the electric field through the surface is

due to `q_(1)` and `q_(2)` only

due to `q_(3)` and `q_(4)` only

equal due to all the four charges

cannot say

Gauss's law and Coulomb's law , although expressed in different forms , are equivalent ways of describing the relation between charge and electric field in static conditions . Gauss's law is epsilon_(0) phi = q_(encl) ,when q(encl) is the net charge inside an imaginary closed surface called Gaussian surface. The two equations hold only when the net charge is in vaccum or air . The net flux of the electric field through the surface due to q_(3) and q_(4) is

zero

positive

negative

cannot say

Gauss's law and Coulomb's law , although expressed in different forms , are equivalent ways of describing the relation between charge and electric field in static conditions . Gauss's law is epsilon_(0) phi = q_(encl) ,when q(encl) is the net charge inside an imaginary closed surface called Gaussian surface. The two equations hold only when the net charge is in vaccum or air . If the charge q_(3) and q_(4) are displaced (always remaining outside the Gaussian surface), then consider the following two statements : A : Electric field at each point on the Gaussian surface will remain same . B : The value of oint vec(E ) .d vec(A) for the Gaussian surface will remain same.

Both `A` and `B` are true .

Both `A` and `B` are false.

`A` is true , but `b` is false.

`B` is true , but `A` is false.

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