1.

The wires which connect the battery of an automobile to its starting motor carry a current of 300a (for a short 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»

Solution :1. Magnetic force exerted per unit length of either of two extremely long, THIN parallel wires, separated by perpendicular distance y and carrying currents `I_(1)andI_(2)` is,
`F/l=(mu_(0)I_(1)I_(2))/(2piy)`
= `((4pixx10^(-7))(300)(300))/((2PI)(0.015))`
`thereforeF/l=1.2N/m`
2. Total magnetic force on either of two equally long wires is,
`F=1.2xxl`
= `1.2xx0.7`
`thereforeF=0.84N`
3. Above force is REPULSIVE because of opposite directions of electric currents in the given wires.


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