9. -2C point charge is placed at a distance of 2 m in air from 3C point charge. Find the magnitude and direction of electric field at point distance 1 m apart from both charges.
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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=20cm
∴AO=OB=10cm
Net electric field at point O=E
Electric field at point O caused by +3 C charge,
E1=4π∈0(AO)23×10−6=4π∈0(10×10−2)23×10−6N/C along OB
Where,
∈0= Permittivity of free space
4π∈01=9×109Nm2C−2
Magnitude of electric field at point O caused by - 3 C charge,
E2=∣∣∣∣∣4π∈0(OB)2−3×10−6∣∣∣∣∣=4π∈0(10×10−2)23×10−6N/C along OB
∴
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