Physics, asked by archanaptps1976, 11 months ago

Consider a system of n charges q1, q2,…,qn with position vectors 1, 2, 3, …, n relative to some origin ‘O’. Deduce the expression for the net electric field ⃗ at a point P with position vector p, due to this system of charges.

Answers

Answered by RitaNarine
6

Given:

A system of n charges q.

The position vectors of these charges are 1,2 ,3 , ..n, relative to origin.

To Find:

The expression for the net  electric field É at a point P with position vector  p, due to the system of charges.​

Solution:

Consider single charge q.

Let this q be present at a position vector r.

Let 1/4π∈ = K

Electric field due to this charge q  at p is,

  • E = Kq/(|r- p|^{2} ) (r - p) , along vector r- p .

Similarly we can add the Electric fields due to all the charges as,

  • E = K ∑ r - P/{| r - p|^{2}}

The expression for the net  electric field É at a point P with position vector  To, due to the system of charges is  E =  1/4π∈  ∑ r - p/| r - p|^{2},  r = 1,2,3,...n.

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