Answer:
Torque [tex]= 4.856 * 10^{-3}[/tex] Nm
Explanation:
Torque can be calculated by using below given relation
[tex]T= BIA[/tex] ---------- Equation (1)
Where T is the torque in Nm
B is the magnetic field in Tesla
I is the current in Ampere
and A is the area in square meter
Since the current is flowing in circular loop, its area will be equal to [tex]A = \pi r^2[/tex]
Circumference [tex]= 2 \pi r[/tex]
[tex]2.55 = 2 * 3.14 * r\\r = \frac{2.55}{2*3.14} \\r = 0.406[/tex]
Substituting the value of r in the formula of area we get -
[tex]A = 3.14 * (0.406)^2\\A = 0.518[/tex]
Substituting all the values in equation 1
[tex]T= 0.75 * 12.5 * 10^{-3} * 0.518 \\T = 4.856 * 10^{-3}[/tex]