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Q.

ABCDEF is a regular hexagon of side a. At each vertex A,B and C a point charge +q is fixed and D,E,F a point charge –q is fixed. Intensity of electric field at a point lying on the line joining FC at a distance x away from the centre of hexagon (x>>>>a) is found to be αaq2πε0x3 , where α is an integer. Find  α

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answer is 7.

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Detailed Solution

E=K(2P0)x31+34=14πε04aqx372=7aq2πε0x2 α=7

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ABCDEF is a regular hexagon of side a. At each vertex A,B and C a point charge +q is fixed and D,E,F a point charge –q is fixed. Intensity of electric field at a point lying on the line joining FC at a distance x away from the centre of hexagon (x>>>>a) is found to be αaq2πε0x3 , where α is an integer. Find  α