Compare the magnitude of the magnetic field at the center of a circular current loop of radius 50 mm with the magnitude of the magnetic field at the center of a solenoid of the same radius and with 2.0 turn per millimeter. Assume the current is the same through the current loop and the solenoid.

Respuesta :

Answer

given,

Radius of the circular current = 50 mm

Number of turn = M = 2 turn/mm

magnetic field at the center of the loop

       [tex]B = \dfrac{\mu_0 I}{2R}[/tex]

magnetic field at the center of  solenoid

         [tex]B' = \mu_o n I[/tex]

now, ratio

=[tex]\dfrac{B'}{B} = \dfrac{ \mu_o n I}{\dfrac{\mu_0 I}{2R}}[/tex]

=[tex]\dfrac{B'}{B} =2 n R[/tex]

=[tex]\dfrac{B'}{B} =2\times 2 \times 50[/tex]

                            B' = 200 B

magnetic field inside the solenoid is 200 times the magnetic field of loop.