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Question -

The wires which connect thebattery of an automobile to its starting motor carry a current of 300 A (for ashort time). What is the force per unit length between the wires if they are 70cm long and 1.5 cm apart? Is the force attractive or repulsive?



Answer -

Current in both wires, I =300 A

Distance between the wires, =1.5 cm = 0.015 m

Length of the two wires, l =70 cm = 0.7 m

Force between the two wires isgiven by the relation,

Where,

 = Permeability of free space = 

Since the direction of thecurrent in the wires is opposite, a repulsive force exists between them.

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