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A conductor carrying current 60A is in t...

A conductor carrying current `60A` is in the form of a semicircle `AB` of radius `R` and lying in `xy`-plane with its cenre of origin as shown in the figure. The magnitude of `ointvecB.vecdl` for the circle `x^(2)+z^(2)=3R^(2)` in`xy`-plane due to current in curve `AB` is `nmu_(0)`. Find the value of `n/10`.

Text Solution

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The correct Answer is:
3
`ointvec(B)_("net").dvec(l)=ointvec(B_(1)).dvec(l)+ointvecB_(2).dvecl`
`vecB_(1)` magnetic field due to straight part
`vecB_(2)` magnetic field due to curved part

`0=B_(1)2piRsqrt(3)+intvec(B_(2)).dvec(l)`
`0=-(mu_(0)I)/(4piRsqrt(3))2piRsqrt(3)+intvecB_(2).dvec(l)`
`=0-(mu_(0)I)/2=intvecB_(2).dvec(l)`
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