A wire (mass = 50 g,length = 40 cm)is suspended horizontally by two vertical wires which conduct a current I = 8.0 A,as shown in the figure.The magnetic field in the region is into the paper and has a magnitude of 60 mT.What is the tension in either wire?

Question

Quizplus · Accepted Answer

The tension in the wire can be calculated using the equation:

T = mg + BI\^2l/(2d)

where T is the tension, m is the mass of the wire, g is the acceleration due to gravity, B is the magnetic field, I is the current, l is the length of the wire, and d is the distance between the vertical wires.

Substituting the given values, we get:

T = (0.05 kg)(9.81 m/s^2) + (0.06 T)(8.0 A)^2(0.4 m)/(2(0.2 m))

T = 0.34 N

Therefore, the tension in either wire is 0.34 N, which is closest to choice D (0.34 N).

A Wire (Mass = 50 G,length = 40 Cm)is Suspended