Question

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?

Answer 1

magnitude of force on charge 2Q =
`(KQ^(2) )/(I^(2) )`

Direction of force on charge = 61 ⁰

Step-by-step 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║ =
`\sqrt{f_(x)^(2) + f_(y)^(2) }` = after considering the forces coming from Q, 3Q and 4Q AND APPLYING COULOMBS LAW

magnitude of force acting on 2Q =
`(KQ^(2) )/(I^(2) )`

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

tan ∅ =
`(f_(y) )/(f_(x) )` = 1.8284

therefore ∅ =
`tan^(-1)` 1.8284

= 61⁰