Represent the resultant force acting on a charge `q_(0)` due to point charges `q_(1),q_(2),q_(3),q_(4)`. Assume the position vectors as `vecr_(0),vecr_(1),vecr_(2),vecr_(3),vecr_(4)` respectively. Give the expression for net force on `q_(0)`

Explanation

Here `vecF_(R_(1))=vecF_(01)+vecF_(02)`
`vecF_(R_(2))=vecF_(R_(1))+vecF_(03)`
`vecF_(R_(3))=vecF_(R_(2))+vecF_(04)`
`:.vecF_(R_(3))=vecF_(01)+vecF_(02)+vecF_(03)+vecF_(04)`
i.e. `vecF_(R_(3))=(1/(4 pi epsilon_(0)))q_(0)(sum_(i=1)^(4)(q_(i))/(r_(0i)^(2)))hatr_(oi)`
for n point charges around `q_(0)`
`vecF_(0)=(1/(4 pi epsilon_(0)))q_(0)(sum_(i=q)^(n)(q_(i))/(r_(0i)^(2)))hatr_(0i)`
The above forces `vecF_(01),vecF_(02),vecF_(03),vecF_(04)` may be represented by the sides of a polygon taken in order ane their resultant is represented by the closing side whose direction is taken in a reverse order.