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Two point charges q(A)= 5mu C and q(B)= ...

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?

Text Solution

Verified by Experts


(a)Electric field at O due to `q_(A)`:
`E_(A)=(1)/(4piepsi_(0))(q_(A))/(r^(2))`
Magnitude of electric field at O due to each charge is
`|vecE_(A)|=|vecE_(B)|`
=`9xx10^(9)((5xx10^(-6))/(0.1^(2)))`
`=45xx10^(5)NC^(-1)`
Net electric field at O is
`E=E_(A)+E_(B)`
`=90xx10^(5)NC^(-1)` OR `9xx10^(6)NC^(-1)`
(b)Magnitude of force experienced by the test charge
F=qE
`F=2xx10^(-9)xx90xx10^(5)`
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