P, Q and R are long parallel straight wires i | vedclass

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(A) Two parallel wires carrying currents in the same direction attract each other, while those carrying currents in opposite directions repel each oth

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towards left

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(A) Two parallel wires carrying currents in the same direction attract each other, while those carrying currents in opposite directions repel each other.Let the distance between adjacent wires be $r$.Force per unit length between two parallel wires is given by $f = \frac{\mu_0 I_1 I_2}{2 \pi d}$.For wire $R$, it experiences two forces:$1$. Force due to wire $Q$ $(F_{RQ})$: Since currents in $Q$ and $R$ are in the same direction, $Q$ attracts $R$. This force is directed towards the left (towards $Q$).$F_{RQ} = \frac{\mu_0 (4A)(6A)}{2 \pi r} = \frac{24 \mu_0}{2 \pi r}$ (towards left).$2$. Force due to wire $P$ $(F_{RP})$: Since currents in $P$ and $R$ are in the same direction, $P$ attracts $R$. This force is directed towards the left (towards $P$).$F_{RP} = \frac{\mu_0 (2A)(6A)}{2 \pi (2r)} = \frac{12 \mu_0}{4 \pi r} = \frac{6 \mu_0}{2 \pi r}$ (towards left).Since both forces are directed towards the left, the resultant force on $R$ is towards the left.

$P, Q$ and $R$ are long parallel straight wires in air, carrying currents as shown. The direction of the resultant force on $R$ is:

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