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A circular loop carrying a current of 1.6 A is oriented in a magnetic field of 0.30 T. The loop has an area of 0.14 m 2 and is mounted on an axis, perpendicular to the magnetic field, which allows the loop to rotate. What is the torque on the loop when its plane is oriented at a 21° angle to the field?

Respuesta :

Answer:

The torque on the loop is [tex]2.4 \times 10^{-2}[/tex] Nm

Explanation:

Given:

Current [tex]I = 1.6[/tex] A

Magnetic field [tex]B = 0.30[/tex] T

Area of loop [tex]A = 0.14[/tex] [tex]m^{2}[/tex]

Angle between magnetic field and area vector [tex]\theta =[/tex] 21°

Form the formula of  torque in case of magnetic field,

 г [tex]= MB \sin \theta[/tex]

Where [tex]M =[/tex] magnetic moment

  [tex]M = IA[/tex]

 г [tex]= IAB \sin 21[/tex]

 г [tex]= 1.6 \times 0.30 \times 0.14 \times 0.3583[/tex]

 г [tex]=2.4 \times 10^{-2}[/tex] Nm

Therefore, the torque on the loop is [tex]2.4 \times 10^{-2}[/tex] Nm