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Two point charges q_(A)= 5mu C and q_(B)= -5muC are located at A and B separated by 0.2m vacuum. What is the electric field at the midpoint O of the line joining the charges? If a negative test charges of magnitude 2mC is placed at O, what is the force experienced by the test charge? |
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Answer» Solution :`q_(A)= 5 xx 10^(-6)C, q_(B)= -5 xx 10^(6)C, AB= 0.2m, r= OA = OB= 0.1m` ELECTRIC field at O due to charge at A `E= (1)/(4pi in_(0)) ((q_(A))/(r^(2)))` `E_(A)= 9 xx 10^(9) [(5 xx 10^(-6))/(10^(-2))]= 45 xx 10^(5) NC^(-1)` Electric field at O due to charge at B `E = (1)/(4pi in_(0)) ((q_(B))/(r^(2)))` `E_(B)= 9 xx 10^(9) [(5 xx 10^(-6))/(10^(-2))] = 45 xx 10^(5)NC^(-1)` Resultant electric field `E= E_(A) + E_(B)= 9 xx 10^(6)NC^(-1)` `F=Q E=2 xx 10^(-9) C xx 90 xx 10^(5) NC^(-1)` `F= 18 xx 10^(-3)N` |
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