At each corner of a square of side l there are point charges of magnitude Q, 2Q, 3Q, and 4Q.What is the magnitude and direction of the force on the charge of 2Q?

Respuesta :

Answer:

magnitude of force on charge 2Q  = [tex]\frac{KQ^{2} }{I^{2} }[/tex]

Direction of force on charge = 61 ⁰

Explanation:

The magnitude on the force on the charge can be evaluated by finding the net force acting on the charge 2Q  i.e x-component of the net force and the y-component of the net force

║F║ = [tex]\sqrt{f_{x}^{2} + f_{y}^{2} }[/tex]  =  after considering the forces coming from Q, 3Q and 4Q AND APPLYING COULOMBS LAW

magnitude of force acting on 2Q = [tex]\frac{KQ^{2} }{I^{2} }[/tex]

The direction of the force on charge 2Q is calculated as

tan ∅ = [tex]\frac{f_{y} }{f_{x} }[/tex] = 1.8284

therefore ∅ = [tex]tan^{-1}[/tex]  1.8284

= 61⁰

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