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What will be the resulatant field at th...

What will be the resulatant field at the origin due to the four indinite length wires if each wire produces magnetic field `B` at origin ?

A

4 B

B

`sqrt(2)B`

C

`2sqrt(2)B`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
3
Direction of magnetic field `(B_(1) , B_(2), B_(3) and B_(4))` at origin due to wires 1, 2, 3 and 4 are shown in the following figure.
`B_(1)=B_(2)=B_(3)=B_(4)=mu_(0)/4pi .2i/x =B`. So net magnetic field at origin O `B_(net)=sqrt((B_(1)+B_(2))^(2)+(B_(3)+B_(4))^(2))`
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