A long horizontal wire carries a current of I 1 = 11.5 A. A second wire, made of

Question

A long horizontal wire carries a current of I1 = 11.5 A. A second wire, made of 0.100 mm diameter copper wire, is 63.0 cm below the first wire and is held in suspension magnetically. What is the magnitude and direction of the current in the bottom wire? Give a + sign if I2 is parallel to I1, and a - sign if I2 is opposite to I1.
The mass density of Copper is 8.93

A long horizontal wire carries a current of I1 = 11.5 A. A second wire, made of 0.100 mm diameter copper wire, is 63.0 cm below the first wire and is held in suspension magnetically. What is the magnitude and direction of the current in the bottom wire? Give a + sign if I2 is parallel to I1, and a - sign if I2 is opposite to I1. The mass density of Copper is 8.9310^3 kg/m^3.

Explanation / Answer

Magnetic field due to the current carrying conductor, B = u*i1/(2pi*r) = 4pi*10^-7* 11.5 / (2pi*0.63) = 0.00000365079 Telsa

F = i2*length of second wire*B = mass of wire* g

or, i2 = (density*pi*0.0001^2)*g/B = 768.45 A

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