1.

A long straight wire carrying a current of `25A` is placed in an external uniform magnetic field `3*0xx10^-4T` parallel to the current. Find the magnitude of the resultant magnetic field at a point `1*5cm` away from the wire.

Answer» Correct Answer - `4*48xx10^-4T`
Here, `I=25A`, `r=1*5xx10^-2m`, `B_2=3xx10^-4T`
Magnetic field due to straight current carrying wire,
`B_1=(mu_0)/(4pi)(2I)/(r)=10^-7xx(2xx25)/((1*5xx10^-2))=10/3xx10^-4T`
This magnetic field will act perpendicular to external magnetic field `B_2(=3xx10^-4T)`.
Therefore, the magnitude of the resultant magnetic field is
`B=sqrt(B_1^2+B_2^2)=sqrt((10/3xx10^-4)^2+(3xx10^-4)^2)`
`=4*48xx10^-4T`


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