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Four charges q,2q,3q and 4q are placed at corners A,B,C and D of a square.The field at the centre of the square has the direction along: OPTIONS: AB CB AC DB AD

Four charges q,2q,3q and 4q are placed at corners A,B,C and D of a square.The field at the centre of the square has the direction along:
OPTIONS:

  • AB

  • CB

  • AC

  • DB

  • AD

Grade:12th Pass

2 Answers

Arun
25758 Points
4 years ago

Electric field at P due to charge at A is,

EA = kq/(a2/2) along AP

Electric field at P due to charge at B is,

EB = k(2q)/(a2/2) along BP

Electric field at P due to charge at C is,

EC = k(3q)/(a2/2) along CP

Electric field at P due to charge at D is,

ED = k(4q)/(a2/2) along DP

Electric field EA and EC are in opposite directions, so, their net field is,

ECA = k(3q)/(a2/2) - kq/(a2/2) = k(2q)/(a2/2) along CA

Electric field ED and EB are in opposite directions, so, their net field is,

EDB = k(4q)/(a2/2) - k(2q)/(a2/2) = k(2q)/(a2/2) along DB

Since, ECA and EDB are equal in magnitude and they are perpendicular to each other, so, their resultant E will bisect angle APB.

Or we can say it is along CB

Ajeet Tiwari
askIITians Faculty 86 Points
2 years ago
Hello student
642-645_upload 41.png

Hope it helps
Thankyou

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