a charge q is placed at the center oa a line joining two exactly equal positive charges Q.The system of three charges will be in equillibrium if q is equal to?
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Ahola!!
A charge placed at the center C of the line joining two equal charges Q at point A and B
Let AB = 2a
If the net force is 0,it will be in equilibrium.
Consider, the charge Q at A
As we know it is equilibrium, the total force on this charge is :
=> 1 / 4π€ qQ /a² + 1/4π€ QQ / (2a) ²= 0
=> 1 / 4π€ qQ /a² = - 1/4π€ Q²/ 4a²
=> q = - Q/ 4
HöPe ïT hèLps ❤
A charge placed at the center C of the line joining two equal charges Q at point A and B
Let AB = 2a
If the net force is 0,it will be in equilibrium.
Consider, the charge Q at A
As we know it is equilibrium, the total force on this charge is :
=> 1 / 4π€ qQ /a² + 1/4π€ QQ / (2a) ²= 0
=> 1 / 4π€ qQ /a² = - 1/4π€ Q²/ 4a²
=> q = - Q/ 4
HöPe ïT hèLps ❤
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