A long straight wire carries the current along positive x-direction. Consider four points in space A(0,1,0),B(0,1,1),C(1,0,1) and D(1,1,1). Which of the pairs will have same magnitude of magnetic field?
A
A and B
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B
A and C
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C
B and C
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D
B and D
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Solution
The correct option is D B and D
We know that magnetic field due to a current carrying infinite length wire is B=μ0I2πd
So for all the points only variable is perpendicular distance d.
Since wire lies on x axis, ∴d=√y2+z2 dA=1 dB=√2 dB=1 dD=√2