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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? |
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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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