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Q.

When two infinitely long parallel wires separated by a distance of 1m, each carry a current of 3 amperes, the force in newton / meter length experienced by each will be, given $μ_{0} = 4 π \times 10^{- 7}$ SI units.

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a

$6 \times 10^{- 7}$

b

$18 \times 10^{- 7}$

c

$2 \times 10^{- 7}$

d

$3 \times 10^{- 7}$

answer is D.

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Detailed Solution

$\frac{F}{l} = \frac{μ_{0} i_{1} i_{2}}{2 πr} \Rightarrow \frac{F}{l} = \frac{2 \times 10^{- 7} \times 3 \times 3}{1} = 18 \times 10^{- 7} N / m$

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When two infinitely long parallel wires separated by a distance of 1m, each carry a current of 3 amperes, the force in newton / meter length experienced by each will be, given μ0=4π×10−7 SI units.