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Same current I is flowing in three infin...

Same current I is flowing in three infinitely long wires along x, y and z directions. What is the magnetic field at point `(0, 0, -a)`?

A

`(mu_(0)i)/(2pia)(hatj-hati)`

B

`(mu_(0)i)/(2pia)(hati+hatj)`

C

`(mu_(0)i)/(2pia)(hati-hatj)`

D

`(mu_(0)i)/(2pia)(hati + hatj +hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A

`oversetrarr(B) = oversetrarr(B)_(1)+oversetrarr(B)_(2)`
`oversetrarr(B) = (mu_(0))/(4pi) (2I)/(a) hatj + (mu_(0))/(4pi) (-hati)`
`=(mu_(0))/(4pi) (2I)/(a) (-hati +hatj)`
.
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