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Q.

Two charges +5μC and +10μC  are placed 20 cm apart. The net electric field at the mid-Point between the two charges is 

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a

4.5×106 N/C directed towards +10μC

b

13.5×106 N/C directed towards +5μC

c

13.5×106 N/C directed towards +10μC

d

4.5×106 N/C directed towards +5μC

answer is A.

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Detailed Solution

From following figure, 

EA= Electric field at mid point M due to +5μC charge 

=9×109×5×106(0.1)2=45×105N/C

EB= Electric field at M due to +10μC charge 

=9×109×10×106(0.1)2=90×105N/C

Question Image

Net electric field at 

M=EBEA=45×105N/C=4.5×106N/C,

in the direction  of  EB i.e.towards +5μC charge 

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