Two objects with charges q and 4q are separated by 1.8 m a) Determine the position (distance from q) of a third charged object that causes all three objects to remain in equilibrium. Express your answer with the appropriate units. b) Determine the charge of a third charged object that causes all three objects to remain in equilibrium.  Express your answer in terms of  q

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Two objects with charges q and 4q are separated by 1.8 m

a) Determine the position (distance from q) of a third charged object that causes all three objects to remain in equilibrium. Express your answer with the appropriate units.

b) Determine the charge of a third charged object that causes all three objects to remain in equilibrium.  Express your answer in terms of  q


c) Is the equilibrium stable or unstable? (Hint:An object is in a stable equilibrium if a small displacement of the object from the equilibrium results in a force exerted on the object that points opposite to the direction of displacement.) Choose one of the options. 

Option 1: The equilibrium is unstable for any displacement.
Option 2:The equilibrium is stable for any displacement.
Option 3:The equilibrium is stable for a displacement along the line joining the objects, but unstable for a displacement along the perpendicular direction.
Option 4:The equilibrium is unstable for a displacement along the line joining the objects, but stable for a displacement along the perpendicular direction.

 

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