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Solution:
Let, AB = AC = 40 cm = x



Electric field at A due to charge at B   (+q),
EAB=Kqx2 along B to A
Electric field at A due to charge at C   (-q),
EAC=Kqx2 along A to C      
So, net electric field at A due to both the charges,
ER=EAB2+|EAC|2+2|EAB||EAC|cos180°-30°   |ER| =Kq x21+1-2cos30°            = Kq x21+1-2cos30°              =9×109×2×10-640×10-22×1+1-2×32           =5.8×104 N/C

By symmetry, the direction of the resultant field will be at an angle 75° to the side AC as shown in the diagram.

 

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