Question

Abcd is a square of side 0.2m charge of 2×10-9 c and 4×10-9 and 8×10-9 are placed at a corner



a.B and c respectively .Calculate the work required to transfer a charge of 2×10-9 from d to the center o of the squre

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student-name Rucha Tenglikar asked in Physics

ABCD is a square of side 0.2m charge 2nC 4nC & 8nC are placed at the corner A,B,C respectively. Calculate the work required to transfer a charge of 5nC from the corner D to the center of the square.

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student-name Rucha Tenglikar answered this

13 helpful votes in Physics, Class XII-Science

experts plz ans fast

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student-name Mallesh Koram answered this

1505 helpful votes in Physics, Class X

Dear Student,

Please find below the solution to the asked query:

So, to find the work has to do bring the charge to D is the product of the charge at D and the potential due to the three other charges at A, B & C. Therefore,

VD=VA+VB+VC=KqAr+KqB2√r+KqCr=K{qB+2√[qA+qC]}2√r⇒VD=9×109{4×10−9+2√[2×10−9+8×10−9]}0.2×2√⇒VD=5×9×109{4×10−9+1.414×10×10−9}1.414⇒VD=45×18.141.414=816.31.414⇒VD=577.3 V

So, the work has to be done is,

W=qV=2×10−9×577.3=1154.6×10−9⇒W=1.154 μJ