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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawMedium2 minPYQ_2022

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A long wire carries a steady current. It is bent into a coil of one turn such that magnetic induction at centre is $B$ , then same wire is bent to from a coil of smaller radius of $n$ turns such that magnetic induction at centre is $B$ , then

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Solution:

Initially, $B = \frac{μ _{0} I}{2 r}$ For coil with smaller radius $r^{'} = \frac{r}{n}$ , such that $2 π r = n (2 π r^{'})$ : $\Rightarrow B^{'} = n (\frac{μ _{0} I}{2 r ^{'}}) = \frac{μ _{0} n I}{2 ( r / n )} \Rightarrow B^{'} = n^{2} B$

Stream:MHT_CETSubject:PhysicsTopic:MagnetismSubtopic:Biot-savart's & Ampere's Circuital law

⏱ 2mℹ️ Source: PYQ_2022

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