The figure shows two parallel, straight wires that are very long. The wires are

Question

The figure shows two parallel, straight wires that are very long. The wires are separated by a distance of 0.061 m and carry currents of I_f = 14 A and I_2 = 7.7 A. (a) Find the magnitude and direction of the force that the magnetic field of wire 1 applies to a 1.5-m section of wire 2 when the currents have opposite directions. magnitude N direction (b) Find the magnitude and direction of the force that the magnetic field of wire 1 applies to a 1.5-m section of wire 2 when the currents have the same directions. magnitude N direction

Explanation / Answer

given,

distance between two wires = 0.061 m

current on wire1 = 14 A

current on wire2 = 7.7A

length of wire = 1.5m

since,

force / length = 2 * 10^-7 * I1 * I2 / distance between wires

putting the values,

force / 1.5 = 2 * 10^-7 * 14 * 7.7 / 0.061

force = 0.00530N

a) if the current in the same direction wires will attract each other with the force of 0.00530N

b) if the current in the opposite direction wires will repel each other with the force of 0.00530 N

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