Magnetic Effects Of Current Question 175

Question: 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 [BIT 1987; CBSE PMT1998; MP PET 1999; MP PMT 2002]

Options:

A) $ 1,N/m $

B) $ 2\times {{10}^{-7}},N/m $

C) $ 1\times {{10}^{-2}},N/m $

D) $ 4\pi \times {{10}^{-7}},N/m $

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Answer:

Correct Answer: B

Solution:

Force per unit length on two parallel current carrying conductor is given by $ \frac{F}{l}={{10}^{-7}}\times 2\frac{i_{1}i_{2}}{a} $

Þ $ \frac{F}{l}={{10}^{-7}}\times 2\times \frac{1\times 1}{1}=2\times {{10}^{-7}},N/m $