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Self Induction

Alternating c...

Question

Alternating current is flowing in inductance L and resistance R. The frequency of source is $\frac{ω}{2 π}$ . Which of the following statement is correct.

A

For low frequency the limiting value of impedance is L

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B

For high frequency the limiting value of impedance is

L ω

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C

For high frequency the limiting value of impedance is R

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D

For low frequency the limiting value of impedance is

L ω

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Solution

The correct option is A For low frequency the limiting value of impedance is L
$\begin{matrix} A s f r e q u e n c y a p p r o a c h e s z e r o o r D C, t h e i n d u c a t o r s r e a c tan c e w o u l d d e c r e a s e t o z e r o, a c t i n g l i k e a s h o r t c i r c u i t . t h i s m e a n s i n d u c t i v e r e a c tan c e i s p r o p o r t i o n a l t o f e q u e n c y s o, f o r l o w f r e q u e n c y t h e l i m i m i t i n g v a l u e o f i m p e d a n c e i s L, a n d a l t e r n a t i n g c u r r e n t i s f l o w i n g i n i n d u c t a n c e L a n d r e s i s t a n c e R . T h e f r e q u e n c y o f s o u r c e i s \frac{ω}{2 π} . s o t h e c o r r e c t o p t i o n i s A . \end{matrix}$

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