Two infinitely long current-carrying wires carry constant currents $i_{1} = 11 A$ and $i_{2} = 7 A$ as shown in the figure. The force applied by wire 1 on wire 2 is $P \times 1 0^{- 7} N$ . Find $P$ . Take $π = \frac{22}{7}$ .

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TestHub · Accepted Answer

F y ​ = 0 due to system ∴ dF x ​ = 2 π x μ 0 ​ i 1 ​ i 2 ​ ​ d ℓ sin θ ⇒ dF x ​ = 2 π μ 0 ​ i 1 ​ i 2 ​ ​ ∞ x ​ dy ​ ⇒ F x ​ = π 4 μ 0 ​ i 1 ​ i 2 ​ ​ ∫ − ∞ ​ y 2 + 4 2 d y ​ ⇒ F x ​ = π 4 μ 0 ​ i 1 ​ i 2 ​ ​ [ 4 1 ​ tan − 1 ( 4 y ​ ) ] − ∞ ∞ ​ ⇒ F x ​ = μ 0 ​ i 1 ​ i 2 ​ = 968 × 1 0 − 7 N

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