1.

A very long wire carrying a current 4sqrt2 A is bent at a right angles. The magnitude of magnetic field (|B|) at a point P lying on a line perpendicular to the bent wire at a distance, d=20 cm from the point of the bending will be (Let mu_(0)=4pixx10^(-7)H//m)

Answer»

`1muT`
`0.8muT`
`2muT`
`4muT`

Solution :Given, `mu_(0)=4pixx10^(-7)` H/m
distance, d=20 cm =0.2m
and current, `I=4sqrt2A`
`:.` MAGNETIC field at a POINT P due to current carrying wire 1,

`B_(1)=(mu_(0))/(pi).(I)/(d)=10^(-7)xx(4sqrt2)/(0.2)`
`=2sqrt2xx10^(-6)T`
Magnetic field at point P due to current carrying wire 2,
`B_(2)=(mu_(0))/(4pi).(I)/(d)=10^(-7)xx(4sqrt2)/(0.2)=2sqrt2xx10^(-6)T`
since, `B_(1)andB_(2)` both are in perpendicular direction to each other HENCE the resultant magnetic field at point P,
`B=sqrt(B_(1)^(2)+B_(2)^(2))`
`=sqrt((2sqrt2xx10^(-6))+(2sqrt2xx10^(-6))^(2))`
`=2sqrt2xx10^(-6)sqrt(1+1)`
`=4xx10^(-6)T=4muT`
Hence, the magnitude of the magnetic field is `4muT.`


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