A wire (mass = 55 g, length = 30 cm) is suspended horizontally by two vertical wires which conduct a current I = 5.0 A, as shown in the figure. The magnetic field in the region is into the paper and has a magnitude of 90 mT. What is the tension in either wire?
Solution:
The mass of the wire,
Length of the wire,
The current passing through the conductor,
The magnetic field in the region,
Let us consider the tension in each wire is
Now, we will check the forces acting on the conductors.
The weight and magnetic force will act in a downward direction.
Total tension in the wires is
These two forces will be balanced
Therefore, we have
Now, substitute all the known values
This is the tension in each wire.
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