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Question: The unit of electric current “ampere” is the current which when flowing through each of two parallel...

The unit of electric current “ampere” is the current which when flowing through each of two parallel wires spaced 1 m apart in vacuum and of infinite length will give rise to a force between them equal to

A

B

2×10−7 N/m2 \times 10 ^ { - 7 } \mathrm {~N} / \mathrm { m }

C

D

4π×10−7 N/m4 \pi \times 10 ^ { - 7 } \mathrm {~N} / \mathrm { m }

Answer

2×10−7 N/m2 \times 10 ^ { - 7 } \mathrm {~N} / \mathrm { m }

Explanation

Solution

Force per unit length on two parallel current carrying conductors is given by

Fl=10−7×2i1i2a\frac { F } { l } = 10 ^ { - 7 } \times 2 \frac { i _ { 1 } i _ { 2 } } { a }