Question: 6. Consider the three straight, infinitely long, thin wires. These wires having the same line mass density are equally spaced with a separation D

6. Consider the three straight, infinitely long, thin wires. These wires having

6. Consider the three straight, infinitely long, thin wires. These wires having the same line mass density are equally spaced with a separation D fixed in place and each wire carries a current I out of the page as shown in the figure. < I -D 04 D I xe (a) Along the x-axis, find the location(s) where the magnetic field vanishes. < (b) When the middle wire is rigidly displaced by a small distance y ( < < D) along the positive y- direction while the other two wires are still fixed in place, find the angular frequency w of the simple harmonic motion of the middle wire in terms of , D, and I.

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