Complete Question
The complete question is shown on the first uploaded image
Answer:
The formula for mutual inductance of two concentric loops [tex]M = \frac{\pi a^2 \mu_0}{2R}[/tex]
Explanation:
Generally magnetic field in a concentric coplanar loop is mathematically represented as
[tex]B = \frac{\mu_0 I_b}{2R}[/tex]
Where [tex]\mu_o[/tex] is the permeability o free space
R is the radius
[tex]I_b[/tex] is the current
The magnetic flux of two concentric loops is mathematically represented as
[tex]\O = \frac{\mu_o I_b}{2R} * \pi a^2[/tex]
[tex]= \frac{\pi a^2 \mu_o}{2R} * I_b[/tex]
a is the area
Generally magnetic inductance is mathematically represented as
[tex]M = \frac{\O }{I_b}[/tex]
Substituting for [tex]\O[/tex] in the above equation
[tex]M = \frac{\pi a^2 \mu_0}{2R}[/tex]
