Two point charges qA = 3 μC and qB = −3 μC are located 20 cm apart in vacuum. (a) What is the electric field at the midpoint O of the line AB joining the two charges? (b) If a negative test charge of magnitude 1.5 × 10−9 C is placed at this point, what is the force experienced by the test charge?

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(a) The situation is represented in the given figure. O is the mid-point of line AB. Distance between the two charges, AB = 20 cm ∴AO = OB = 10 cm Net electric field at point O = E Electric field at point O caused by +3μC charge, E1 = along OB Where, = Permittivity of free space Magnitude...
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(a) The situation is represented in the given figure. O is the mid-point of line AB. Distance between the two charges, AB = 20 cm ∴AO = OB = 10 cm Net electric field at point O = E Electric field at point O caused by +3μC charge, E1 = along OB Where, = Permittivity of free space Magnitude of electric field at point O caused by −3μC charge, E2 = = along OB = 5.4 × 106 N/C along OB Therefore, the electric field at mid-point O is 5.4 × 106 N C−1 along OB. (b) A test charge of amount 1.5 × 10−9 C is placed at mid-point O. q = 1.5 × 10−9 C Force experienced by the test charge = F ∴F = qE = 1.5 × 10−9 × 5.4 × 106 = 8.1 × 10−3 N The force is directed along line OA. This is because the negative test charge is repelled by the charge placed at point B but attracted towards point A. Therefore, the force experienced by the test charge is 8.1 × 10−3 N along OA. read less
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