Four identical charges $$+50$$ μC each are placed, one at each corner of a square of side $$2m$$. How much external energy is required to bring another charge of $$+50$$ μC from infinity to the centre of the square Given $$14$$πε$$0=9$$×$$109Nm2C2$$

Question

Four identical charges $$+50$$ μC each are placed, one at each corner of a square of side $$2m$$. How much external energy is required to bring another charge of $$+50$$ μC from infinity to the centre of the square Given $$14$$πε$$0=9$$×$$109Nm2C2$$

Infinity Learn · Accepted Answer

Potential at the centre of $$squareV=4$$×$$9$$×$$109$$×$$50$$×$$10$$−$$62/2=902$$×$$104$$ VWork done in bringing a charge (q=50$$ μ$$C) from ∞ to centre (O) of the square is $$W=qV0$$−V∞$$=qV0$$⇒$$W=50$$×$$10$$−$$6$$×$$902$$×$$104=64J$$

Four identical charges $+ 50 μC$ each are placed, one at each corner of a square of side 2m. How much external energy is required to bring another charge of $+ 50 μC$ from infinity to the centre of the square
$(Given \frac{1}{4 {πε}_{0}} = 9 \times 10^{9} \frac{{Nm}^{2}}{C^{2}})$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Four identical charges +50 μC each are placed, one at each corner of a square of side 2m. How much external energy is required to bring another charge of +50 μC from infinity to the centre of the square Given 14πε0=9×109Nm2C2

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Four identical charges $+ 50 μC$ each are placed, one at each corner of a square of side 2m. How much external energy is required to bring another charge of $+ 50 μC$ from infinity to the centre of the square
$(Given \frac{1}{4 {πε}_{0}} = 9 \times 10^{9} \frac{{Nm}^{2}}{C^{2}})$