Two long, parallel wires are separated by a distance of 0.400 m. The currents I

Question

Two long, parallel wires are separated by a distance of 0.400 m. The currents I1 and I2 have the directions shown.

(a) Calculate the magnitude of the force exerted by each wire on a 1.2 m length of the other.
N

Is the force attractive or repulsive?

attractive repulsive    

(b) Each current is doubled, so that I1 becomes 10.00 A and I2 becomes 4.00 A. Now what is the magnitude of the force that each wire exerts on a 1.2 m length of the other?
N

Two long, parallel wires are separated by a distance of 0.400 m. The currents I1 and I2 have the directions shown. (a) Calculate the magnitude of the force exerted by each wire on a 1.2 m length of the other. N Is the force attractive or repulsive? attractive repulsive (b) Each current is doubled, so that I1 becomes 10.00 A and I2 becomes 4.00 A. Now what is the magnitude of the force that each wire exerts on a 1.2 m length of the other? N

Explanation / Answer

  Force between to wires carrying currentsI1 and I2 at distance r is

   F   =   ?0* I1 * I2 * L / 2? * r

   L   =   lengthof wire

   a.   F   =   4?* 10-7 * 5.00 * 2.00 * 1.2 / 2? * 0.400

            =   6.00* 10-6   N

      Since direction of currents are opposite, force will be repulsive.

   b.   With   I1   =   10 A

                  I2   =   4..00   A

      F'   =   4?* 10-7 * 10 * 4 * 1.2 / 2? *0.400

            =   1.48* 10-7 N

            = 0.148*10-6 N

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