Question

Two point charges 1 uc and 4 uc are placed at x=0 m and x=3 m on x axis respectively. The position between the two charges where net electric field is zero

Answer 1

Given :

Magnitude of first charge (q₁) = 1μC

Magnitude of second charge (q₂) = 4μC

Distance between charges = 3m

To Find :

The position at which net electric field between the charges is zero

Solution :

• Let the point be at a distance of X from the first charge

• As the net electricfield is zero the electric field produced by two charges should be equal

                   E₁ = E₂

• kq₁/r₁²  =  kq₂/r₂²

• 1/x²   =  4/(3-x)²

• (3-x)² / x²  = 4

• (3-x) / x  = 2

• 3-x = 2x

• 3x = 3

• x = 1m

The electric field is zero at a distance of 1m from the 1μC charged particle