Question

For given current distribution, each infinite length wire produces magnetic field ‘B’ at origin then resultant magnetic field at origin ‘O’ is

Answer 1

The resultant magnetic field at origin ‘O’ is B(net )" =  2 √2B

Step-by-step explanation:

B2 = B3 = B4 = μO / 4π x 2i / x

2B along positive x axis

2B along positive y axis

Now net magnetic filed at origin.

Net magnetic filed " B(net ) =  √ (B1 + B2)^2 + (B2 + B4)^2

Net magnetic filed " B(net ) =    √  (2B)^2 + (2B)^2

Net magnetic filed " B(net ) =  2 √2B

Thus the resultant magnetic field at origin ‘O’ is B(net )" =  2 √2B

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