Question: Two long, parallel wires of length L, separation d, and cross sectional radius a are connected by a U-turn at each end to form a
Two long, parallel wires of length L, separation d, and cross sectional radius a are connected by a U-turn at each end to form a closed circuit. Insert a battery with potential difference V at one U-turn and a shunt resistor R at the other U-term. Assume that R is much larger than the ohmic resistance of the wires and the internal resistance of the battery. Show that the wires repel (attract) if R is smaller (greater) than

Ro = Ho I 0 In(d/a).
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The fact that R is very large means that the entire voltage drop occurs over the resis tor Therefo... View full answer
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