First slide

Magnetic field due to a straight current carrying wire

Question

A very long wire carrying a current of 5A, lies a long the Z axis. Then magnetic induction at the point P (3, 4, 1) m is

Moderate

A

0.2 µT
B

2.5 µT
C

5.5 µT
D

0.5 µT

Solution

Distance of the point P from the Z-axis is $d = \sqrt{3^{2} + 4^{2}} m = 5 m$
$∴ B_{P} = \frac{μ_{o} i}{2 πd} = \frac{4 π \times 10^{- 7} \times 5}{2 π \times 5} T = 0.2 μT$

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