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Two point charges qA =3 mu C and qB = -3...

Two point charges `q_A =3 mu C and q_B = -3muC ` are located 20 cm apart in vacuum.
What is the electric field at the midpoint O of the line AB joining the two charges?
If a negative test charges of magnitude ` 1.5 xx 10^(-9) C `
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Text Solution

Verified by Experts

Here ` q_A =3 mu C = 3xx 10 ^(-6) C, q_B =-3mu C `
`= -3 xx 10 ^(-6) C,AB =20 cm = 0.2 m and AO =OB = `
` therefore " " oversetto (E_O) =oversetto (E_A) + oversetto (E_B) =9xx 10 ^(9) [( 3xx10 ^(-6) )/( (0.1)^(2) ) + (3xx10 ^(-6))/( (0.1)^(2)) ]` along OB `= 5.4 xx 10 ^(6) NC^(-1) ` along OB
When a charges ` q_0 =-1.5 xx10 ^(-9) C ` is placed at point O,then
` oversetto (F_O) =q_0 oversetto (E_O) = ( - 1.5 xx 10^(-9)) xx 5.4 xx10 ^(6) `
` =- 8.1 xx 10 ^(-3) N ` along OB `= 8.1 xx 10 ^(-3) N ` along OA.
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