Question 104: Electromagnetic Induction

Question

There are two long co-axial solenoids of same length $$l$$. The inner and outer coils have radii r
1
and r
2
and number of turns per unit length n
1
and n
2
, respectively. The ratio of mutual inductance to the self - inductance of the inner-coil is :

Accepted Answer

$$M = {\mu _0}\,{n_1}\,{n_2}\,\pi r_1^2$$
$$L = {\mu _0}\,n_1^2\,\pi r_1^2$$
$$ \Rightarrow \,\,{M \over L} = {{{n_2}} \over {{n_1}}}$$

Answer

$${{{n_2}} \over {{n_1}}}.{{{r_2}^2} \over {{r_1}^2}}$$

Answer

$${{{n_2}} \over {{n_1}}}$$

Answer

$${{{n_1}} \over {{n_2}}}$$

Answer

$${{{n_2}} \over {{n_1}}}.{{{r_1}} \over {{r_2}}}$$

Electromagnetic Induction

There are two long co-axial solenoids of same length $l$. The inner and outer coils have radii r 1 and r 2 and number of turns per unit length n 1 and n 2 , respectively. The ratio of mutual inductance to the self - inductance of the inner-coil is :

Choose the correct answer: