Physics, asked by spaceLearner, 1 year ago

At each of the four corners of a square of side a, charge q is placed freely. What charge should be placed at the centre of the square so that the whole system is equilibrium?

Answers

Answered by EvelynXxX
4
Since all the charges placed at the corners are positive, so to maintain equilibrium a negative charge must be placed at the center of the square. 

Now what remains is to calculate the magnitude of this negative charge. To calculate, you can use the coulumb's law for force. Since the system is in equilibrium, net force on any charged body in the system will be zero. So to calculate the center charge, take the net force on a corner charge due to all other charges to be zero.

EvelynXxX: plz mark as brainliest if u found so
spaceLearner: can u tell me the steps by which kushalankur's answer came? because its right. or the last few formulae with variables of your answer?
Answered by kushalankur09p5h135
7
q = -Q/4*(1+ 2√2)................

spaceLearner: can u please show me the steps
kushalankur09p5h135: https://www.quora.com/Each-of-corners-of-square-has-charge-+q-What-should-the-charge-placed-at-the-centre-to-maintain-equilibrium
kushalankur09p5h135: open this link
spaceLearner: what is the value of Q in that answer?
kushalankur09p5h135: Q is the charge placed at the corner of the square
spaceLearner: in the book the answer matches yours. and why did he take (2a) in his 1st equation?
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