Two wires parallel to each other and seperated by a distance d carry different c
ID: 2250604 • Letter: T
Question
Two wires parallel to each other and seperated by a distance d carry different currents; they exert a force with magnitude F on each other.
(a) The wires carry current in opposite directions. If the current carried by one of the wires is tripled and the distance between the wires is tripled, then what will the force's magnitude be (as a multiple of F) and will it be repulsive or attractive?
________ F (attractive or replusive)
? (b) The wires carry current in the same direction . If the current carried by both wires is quadrupled and the distance between the wires is quintupled, then what will the force's magnitude be (as a multiple of F) and will it be repulsive or attractive?
_______ F (attractive or replusive)
Explanation / Answer
(a)the force F between the wires is
F = k x (I1I2/d)
where k is some constant
when the current and distance are tripled the new force is
F1 = k x (3I1I2/3d) = F
as the wires carry current in opposite direction the force between them is attractive
(b)when the current carried by both wires is made 4 times and the distance between them is made 4 times then the new force is
F2 = k x (4I1 x 4I2/4d) = 4 x k x (I1I2/d) = 4F
as the wires carry current in same direction the force between them is repulsive
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