Answer:
(a) 0.336 A m²
(b) 0 Nm
Explanation:
(a) Magnetic dipole moment, μ, is given by
[tex]\mu = IA[/tex]
I is the current in the loop and A is the area of the loop.
The loop is a triangle. To find its area, observe that the dimensions form a Pythagorean triple, making it a right-angled triangle with base and height of 30 cm and 40 cm.
[tex]A = \frac{1}{2}\times(0.3\text{ m})\times(0.4\text{ m})=0.06\text{ m}^2[/tex]
[tex]\mu = (5.6\text{ A})(0.06\text{ m}^2) = 0.336\text{ A}\,\text{m}^2[/tex]
(b) Torque is given by
[tex]\tau = \mu B\sin\theta[/tex]
where B is the magnetic field and [tex]\theta[/tex] is the angle between the loop and the magnetic field. Since the field is parallel, [tex]\theta[/tex] is 0.
[tex]\tau = \mu B\sin0 = 0\text{ Nm}[/tex]
