Problem 3 a wire of length 16cm is suspended by flexible leads above a long straight wire. equal but opposite currents are established in the wires such that the 16cm wire floats 1.5mm above the long wire with no tension in the suspension leads. if the mass of the 16cm wire is 14g = 0.014kg, what is the current? select one of the following: (a) 16a (b) 80a (c) 120a (d) 3.2a (e) 0.13a

I = 80 A

Explanation:

It is given that,

Mass of the wire, m = 14 g = 0.014 kg

Length of the wire, l = 16 cm = 0.16 m

Distance from wire,

The force of gravity acting on the wire is balanced by the magnetic force. Mathematically, it is given by :

The magnetic field at the axis of wire is given by :

I = 80 A

So, the current flowing in the wire is 80 A. Hence, this is the required solution.

no

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