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Inessa [10]
3 years ago
5

Two long, parallel wires are separated by a distance of 2.30 cm . The force per unit length that each wire exerts on the other i

s 5.00×10−5 N/m , and the wires repel each other. The current in one wire is 0.700 A .(a) What is the current in the second wire? (b) Are the two currents in the same direction or in opposite directions?
Physics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

a. the current in the other second wire is 820.78 Ampere

b. the two currents are in opposite directions

Explanation:

a. the current in the second wire is given by the expression for the force per unit lenght between two wires

\frac{F}{l} = \frac{U_{0}I_{1} I_{2}  }{2\pi r}

where U_{0} = 4\pi X10^{-7}

substituting all these values into the expression for the force per unit length and then making I_{2} the subject

Note: convert 2.3 cm to meters = 0.023 meters

5.00X10^{-5} =(4\pi X10^{-7} )(0.700)I_{2}  / 2\pi (0.023)

making I_{2} subject

I_{2}=\frac{(5.00X10^{-5})(2\pi )(0.023)}{(4\pi X10^{-7})(0.700) }

simplifying will give

I_{2} =8.22 A

b. the force is attractive if the currents are in the same direction and repulsive if the force are in opposite directions

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