Four equal charges Q each are placed at four corners of a square of side a. Work done in carrying a charge -Q from its centre to infinity is?
Answers
Answer:
AC with the cooler system
When he come up in the club, he be blazin' up
Got stacks on deck like he savin' up
And he ill, he real, he might gotta deal
He pop bottles and he got the right kind of build
He cold, he dope, he might sell Coke
He always in the air, but he never fly coach
He a motherfnckin' trip, trip, sailor of the ship, ship
When he make it drip, drip kiss him on the lip, lip
That's the kind of dude I was lookin' for
And yes you'll get slapped if you're lookin' ho
I said, excuse me you're a hell of a guy
I mean my, my, my, my you're like pelican fly
I mean, you're so shy and I'm loving your tie
You're like slicker than the guy with the thing on his eye.Q
Answer:
4√2 kQ²/a
Explanation:
Workdone in moving a charge(q) from infinity to a certain point(at P.D. V) is qV.
Therefore,
Workdone in moving a charge(q) from a certain point(at P.D. V) to infinity is - qV.
Let the square be ABCD and centre be O. Since it is a square, AO = BO = CO= DO=r.
Work by Q C charge = - QV = - Q(kq/r)
Work by 4 such charge = - 4Qk(q/r)
*it is just 4 times, as all are at equal distance(r) and have same charge(Q).*
Substitute q = - Q, r = ½ diagonal = (a√2)/2
Total Workdone = - 4Qk (-Q/(a√2/2))
Total Workdone = 4kQ² (2/a√2)
Total work = 4√2 kQ²/a , where k = 1/4πe.
Work = √2Q²/πea
*if charges are not same(say q and Q), you can simply substitute qQ instead of Q². *e refers to epsilon, here.