Four point charges of charge 1uc each are placed at corner of a square of side 2m the work done in removing charge -2uc from centre of squre to infinity is
Answers
Answer:
36√2 x 10^(-3) J
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.
In this condition, r = ½ diagonal = √2 m, and work by each charge is same, so 4 work times of work by any one.
Work = - 4q(k Q/r) = - 4k(qQ/r)
Work = - 4(9 × 10^9) [(-2u)(1u)/√2]
Work = - (36 × 10^9) [- √2 u²]
Work = 36√2 × 10^9 × (10^(-6))²
Work = 36√2 × 10^(-3) J
*proof for this specific condition:
https://brainly.in/question/17565289
Just substitute your values in
W = 4√2 (kqQ/r)
= 4√2 (9 x 10^9) x (1u)(2u)/2
= 36√2 x 10^9 x 10^(-12)
= 36√2 x 10^(-3) J
Answer:
Question :-
Four point charges of charge 1uc each are placed at corner of a square of side 2m the work done in removing charge -2uc from centre of squre to infinity is
Solution :-
Let the square be ABCD and centre be O.
Since it is a square, AO = BO = CO = DO.
Work by 1u C charge
✯ - qV = - q(k 1u/r)
Work by 4 such charge
✯ - 4kqu/r
substitute q
✯ - 2u,
✯ ½
✯diagonal
✯ √2.
Total Work
✯ - 4k(-2uu)/(√2)
Total Work
✯ 4√2k u² J
✯ 4√2k x 10^(-12) J
Subtitute k
✯ 9 x 10^9,
we get
Work
✯ 36√2 x 10^(-3) J
*u refers to micro
✯ 10^(-6)