1. Electric Charges and Fields
medium

ચાર બિંદુવત્ વિદ્યુતભારો $q_{A}=2\; \mu\, C, q_{B}=-5\; \mu \,C,$ $q_{C}=2\; \mu \,C,$ અને $q_{D}=-5\;\mu \,C$, એક $10 \,cm$ ની બાજુવાળા ચોરસ $ABCD$ ના શિરોબિંદુઓ પર અનુક્રમે રહેલા છે. ચોરસના કેન્દ્ર પર મૂકેલા $1 \;\mu\, C$ વિદ્યુતભાર પર લાગતું બળ શોધો. 

Option A
Option B
Option C
Option D

Solution

The given figure shows a square of side $10 \,cm$ with four charges placed at its corners. $O$ is the centre of the square. Where, (Sides) $AB = BC = CD = AD =10 \,cm$

(Diagonals) $AC = BD =10 \sqrt{2} \,cm$

$AO = OC = DO = OB =5 \sqrt{2}\, cm$

A charge of amount $1\, \mu\, C$ is placed at point $O$

Force of repulsion between charges placed at corner $A$ and centre $O$ is equal in magnitude but opposite in direction relative to the force of repulsion between the charges placed at corner $C$ and centre $O$. Hence, they will cancel each other. Similarly, force of attraction between charges placed at comer $B$ and centre $O$ is equal in magnitude but opposite in direction relative to the force of attraction between the charges placed at corner $D$ and centre $O$. Hence, they will also cancel each other. Therefore, net force caused by the four charges placed at the corner of the square on $1\, \mu \,C$ charge at centre $O$ is zero.

Standard 12
Physics

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