Consider two current carrying conductors in x-y plane, carrying constant current $I_{1} a n d I_{2}$ respectively as shown in the figure.Now consider two arbitrary elementary current elements AB & CD of lengths $d l_{1} a n d d l_{2}$ on the loop-1 and loop-2 respectively. Let $d {\vec{F}}_{12}$ be the force which the current carrying element $I_{2} d {\vec{l}}_{2}$ exerts on the current carrying element $I_{1} d {\vec{l}}_{1} & {\vec{F}}_{12}$ represent the net force on 1^st loop by the 2^nd loop, developed due to interaction between current carrying loops. Similarly $d {\vec{F}}_{21}$ be the force which the current
carrying element $I_{1} d {\vec{l}}_{1}$ exerts on the current carrying element $I_{2} d {\vec{l}}_{2} & {\vec{F}}_{21}$ represent the net force on 2^nd loop by the 1^st loop, developed due to interaction between current carrying loops. Choose the correct option(s)

Question

Consider two current carrying conductors in x-y plane, carrying constant current $I_{1} a n d I_{2}$ respectively as shown in the figure.Now consider two arbitrary elementary current elements AB & CD of lengths $d l_{1} a n d d l_{2}$ on the loop-1 and loop-2 respectively. Let $d {\vec{F}}_{12}$ be the force which the current carrying element $I_{2} d {\vec{l}}_{2}$ exerts on the current carrying element $I_{1} d {\vec{l}}_{1} & {\vec{F}}_{12}$ represent the net force on 1^st loop by the 2^nd loop, developed due to interaction between current carrying loops. Similarly $d {\vec{F}}_{21}$ be the force which the current
carrying element $I_{1} d {\vec{l}}_{1}$ exerts on the current carrying element $I_{2} d {\vec{l}}_{2} & {\vec{F}}_{21}$ represent the net force on 2^nd loop by the 1^st loop, developed due to interaction between current carrying loops. Choose the correct option(s)
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Infinity Learn · Accepted Answer

$d {\vec{F}}_{12} + d {\vec{F}}_{21} \neq \vec{0}$

,

${\vec{F}}_{12} + {\vec{F}}_{21} = \vec{0}$

Detailed Solution

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