A) Three equal charges 6.3 ?C are located in the xy-plane, one at (0 m, 51...

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Physics

A) Three equal charges 6.3 ?C arelocated in the xy-plane, one at (0 m, 51 m), another at(56m,0m),and the third at(57m,?66m).
Find the magnitude of the electric field at the origin due tothese three charges. The value of the Coulomb constant is8.98755

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3.6 Ratings (590 Votes)

the distance ofÂ Â the charged particlesfrom the reference point (x1,y1)can be calculated asgiven as

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â r = ?[(x2-x1)²+(y2-y1)²]

Â Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â if the reference point is the origin then x1,y1 = 0,0 in the aboveformula

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â the distance of all the charged particles from the origin must be find out using the above relation using ofcoordiantes .

if r1 ,r2 and r3 be the distance of the chrged particlespocessing chrge q1,q2 and q3 from the origin ,

now the net potential at the origin due to the three chargeswill be the sum of the individual potentials of the threechrges

Â Â Â Â Â Â Â Â Â Â Â Â Â V = V1+V2+V3

Â Â Â Â Â Â Â Â Â Â Â Â Â Â whereÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â V1 = k.q1 / r1² where k = 1 /4??

simillarly V2 and V3 .

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