current | resistivity | Current electricity | ohm law | electric current | physics

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Current electricity and ohm's law(Current electricity) :- •What is current? Rate of flow of electric charge with time through any cross section of a wire is called current. It is denoted by I . Thus if charge "dq" flows through a wire in small time "dt" then electric current through wire is given by :                                             I=dq/dt  1 ampere = 1coulomb/1 second  1A=C/s •Ampere :-                                                           The current Through a wire is called one ampere if one coulomb charge is flow through Any cross section of wire in one second   •Ohm's law:- Ohm’s principal discovery was that the amount of electric current through a metal conductor...

State and prove the Gauss's Theorem (electrostatic) | electostatic | physics

Gauss’s Theorem (Electrostatic) 

 Statement:-

According to Gauss’s theorem the net-outward normal electric flux through any closed surface of any shape is equivalent to 1/ε0 times the total amount of charge contained within that surface.

Proof of Gauss’s Theorem Statement:-

Let the charge be = q
Let us construct the Gaussian sphere of radius = r
Now, Consider , A surface or area ds having ds (vector)

Normal having the flux at ds:

d e = E (vector) d s (vector) cos θ

But , θ = 0

Therefore, Total flux:

C = f d Φ

E 4 π r2

Therefore,

σ = 1 / 4πɛo q / r2 × 4π r2

σ = q / ɛo

• Some important board exam level question answers:-


Q. 1) Write Gauss's theorem for a charge outside a closed surface. 

Ans:- The theorem becomes zero. 


Q. 2) What is an equipotential surface ?

Ans:- A surface, which has same electric   potential everywhere on it is called   equipotential surface. 










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