Question

A current of 10 A flows in each of two conducting wires parallel to each other.The separation between the wires is 2 cm. Find the force per unit length of one of the wires.​

Answer 1

$\large \red { \mathtt{ \underline{answer} :}}$

$\blue{ \mathtt{force \: on \: one \: wire \: due \: to \: other \: is \: f = b i_{2}l}}$

$\pink{ \mathtt{where \: magnetic \: field \: b = \frac{\mu_{0} i_{1} }{2\pi \: r}}}$

$\green{first \: wire \: at \: distance \: r. }\\ \\ \gray{thus \: force \: per \: unit \: length \: between \: them \: is \: \frac{f}{l} = bi_{2} = \frac{ \mu_{0}i_{1}i_{2} }{2\pi \: r}}$

$\red{\boxed{\bold{\mathtt{for\: the \:result\: see\: the\: attachement}}}}$