Acircular loop of wire having a radius of 5.58 cm carries a current of 0.230 a. a vector of unit length and parallel to the dipole moment of the loop is given by 0.60 – 0.80. if the loop is located in a uniform magnetic field given by = (0.140 t) + (0.109 t), find (a) the x-component, (b) the y-component, and (c) the z-component of the torque on the loop and (d) the magnetic potential energy of the

see explanation

Explanation:

Given quantities:

radius = r = 0.0558 [m]

current = I = 0.23 [A]

Now we solve this by obtaining the torque acting on the dipole

We obtain the magnetic moment vector M, first, |M| is defined as , where A is the cross-section area of the loop which is then

now the magnetic moment vector is equal to the magnetic dipole moment vector multiplied the magnitude we just obtained  

Now:

a )

b)

a) the determinant gives us:

b) the dot product gives =

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.