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← JEE Main 2022 · 28 Jun · Shift 2
PhysicsSingle correct+4 / -1Question 43 of 90

JEE Main 2022 · 28 Jun · Shift 2, Physics question 43

Two parallel, long wires are kept 0.20 m apart in vacuum, each carrying current of xx A in the same direction. If the force of attraction per meter of each wire is 2×10−62\times10^{-6} N, then the value of xx is approximately :

Choose one option
Answer and worked solution

Official answer: C

Force per length. μ0x22πd=2×10−7x20.2=10−6x2=2×10−6\dfrac{\mu_0x^2}{2\pi d}=\dfrac{2\times10^{-7}x^2}{0.2}=10^{-6}x^2=2\times10^{-6}, so x=2≈1.4x=\sqrt2\approx1.4.

(C)