Question

A horizontal wire is hung frem the celing of a room by two massless strings. The wire has a length of 0.11 m and a mass of 0.009 kp. A unifom magnetic field of magnitude 0.065 T is directed from the ceiling to the floor. When a current of - 23 A exists in the wire, the wire swings upward and, at equi ibrium, makes an angle with respest to the vertical, as the drawing shows. Find (a) the angle and (b) the tension in each of the two strirngs. maespect lo an anole tu) a. (b) T-

Answer 1

Given is:-

Length of the wire

Mass of the wire  

m 0.009kg

Magnetic field  

В 0.0657.

Current  $I=23A$

Now,

part-a

According to Newton’s second law, the weight of the wire is balanced by the vertical component of the tension force, therefore

eq-1

and the magnetic force is balanced by the horizontal component of the tension force

eq-2

we know that  

Hence dividing eq-2 by eq-1 we get

or

by plugging all the values we get

which gives us

Part-b

From eq-1 we get

by plugging all the values we get

which gives us