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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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D

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

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

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