Two long, parallel conductors are carrying currents in the same direction, as se
ID: 1284381 • Letter: T
Question
Two long, parallel conductors are carrying currents in the same direction, as seen in the figure below.
Conductor A carries a current of IA = 122 A and is held firmly in position; conductor B carries current IB and is allowed to slide freely up and down (parallel to A) between a set of non-conducting guides. If the linear mass density of conductor B is 0.112 g/cm, what value of current IB will result in equilibrium when the distance between the two conductors is 2.17 cm?
b95f7e456a88fd6d84c9164d2c9e3aa2e0349546 Two long, parallel conductors are carrying currents in the same direction, as seen in the figure below. Conductor A carries a current of IA = 122 A and is held firmly in position; conductor B carries current IB and is allowed to slide freely up and down (parallel to A) between a set of non-conducting guides. If the linear mass density of conductor B is 0.112 g/cm, what value of current IB will result in equilibrium when the distance between the two conductors is 2.17 cm?Explanation / Answer
apply gravtational force = magnetic force
so mg = u0i1i2L/2piD
so I2 = (m/L) * g * 2pi D/(uoi1)
0.112 gm/cm = 0.01112 kg/m
I2 = 0.0112 * 9.8 * 2*3.14* 0.0217/(4pie-7 * 122)
i2 = 97.61 Amps
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