does the inductance of a coil depend on the current carried by it?

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Solution

$N o t h e s e l f i n d u c \tan c e o f a c o i l d o e s n o t d e p e n d o n t h e c u r r e n t i n t h e c o i l . I t d e p e n d s o n t h e g e o m e t r y o f t h e c o i l l i k e n u m b e r o f t u r n s o f c o i l, l e n g t h o f c o i l m a g n e t i c p e r m e a b i l i t y o f m e d i u m . L e t c u r r e n t i n c o i l o r i n f i n i t e s o l e n o i d b e i s o m a g n e t i c f i e l d i n i t i s B = μ n i (n i s n u m b e r o f t u r n s p e r u n i t l e n g t h a n d i i s c u r r e n t i n i t) F l u x l i n k e d w i t h i t i s = B \times A \times N (w h e r e A i s a r e a o f c r o s s s e c t i o n a n d N i s t o t a l n u m b e r o f t u r n s) L i = B \times A \times N (L i s s e l f i n d u c \tan c e o f c o i l) L i = μ n i \times A \times N (n i s n u m b e r o f t u r n s p e r u n i t l e n g t h) L = μ n \times A \times N L = μ \frac{N}{l} \times A \times N = \frac{μ N^{2} A}{l} R e g a r d s$ Dear student

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