give reasons for two thin quilts prove warmer than a thick one on a cold night

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Solution

$T h e h e a t i n g c o l i s w o r k o n t h e p r i n c i p l e o f j o u l e h e a t i n g b y c u r r e n t I . T h e p r o d u c e d h e a t c a n b e e x p r e s s e d a s H = I^{2} R t n o w R, t h e r e s i s \tan c e d e p e n d s o n t h e c o l i r e s i s \tan c e a n d h e n c e t h e c r o s s s e c t i o n a l a r e a o f t h e c o i l . W e k n o w r e s i s \tan c e i s i n v e r s e l y p r o p o r t i o n a l t o t h e c r o s s s e c t i o n a l a r e a t h e r e f o r e t w o t h i n c o i l g e n e r a t e s m o r e h e a t t h a n a f a t c o i l a l t h o u g h t h e l e n g t h o f t h e w i r e i s s a m e .$

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