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An element dl = dx hat i ( where dx hat ...

An element `dl = dx` `hat i` ( where dx `hat i` = 1 cm) is placed at the origin and carries a large current `I = 10 ` A. what is the magnetic field on the Y-axis at a distance of `0.5m?`

Text Solution

Verified by Experts

`dl = dx = 1 cm = 10^(-2)` m
`I = 10A, r = 0.5`m
using Biot - Savart's law
`dB = (mu_(0))/(4 pi) (I dl xx r)/r^(3) `
` = (mu_(0))/(4 pi) (Idx)/r^(2) (hati xx hatj) `
` = (mu_(0))/(4 pi) (I dx)/r^(2) hatk (hati xx hatj = hatk) `
` = (10^(-7) xx 10 xx 10^(-2))/((0.5)^(2)) hatk `
` dB = 4 xx 10^(-8) hatk T`
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