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(4) charges are placed each at a distanc...

(4) charges are placed each at a distance `a` from origin . The dispole moment of configuration is .
.

A

` 2qa hat j`

B

` 3 q a hat j`

C

` 2 a q [ hat I + hat j]`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A

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` | vec P_1 | = | vec P _3 | =q sqrt 2 a rArr |vec P_2| =2 P_1`
` vec P =vec P_1 +vec P_2 + vec P_3`
` P_x =P_1 cos 45^@ -2 P_1 cos 45^@ + P_1 cos 45^@`
` P_x =0`
` P_y =P_1 sin 45^@ + 2 P_1 sin 45^@ - P_1 sin 45^@`
` P_y = sqrt 2P_1`
` vec P =P_x i + P_y har j` `rArr vec P =2 qa hat j`.
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