the electron drift speed is estimate to be a few mm s-1 for currents in the range if a few amperes. how then current is established almost instant a circuit is closed?

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$T h e r e a r e m i l l i o n s o f f r e e e l e c t r o n s i n t h e c o n d u c t i n g w i r e s w h i c h c o n t r i b u t e t o l a r g e a m o u n t o f c u r r e n t . E l e c t r o n s d r i f t w i t h c e r ta i n v e l o c i t y w h e n s u b j e c t e d t o s o m e e l e c t r i c f i e l d a n d t h i s f i e l d a c t s o n a l l o f t h e e l e c t r o n s p r e s e n t i n t h e c o n n e c t i n g w i r e b e t w e e n p o s i t i v e a n d n e g a t i v e e l e c t r o d e o f t h e b a t t e r y t o g e t h e r w h i c h l e a d s t o c u r r e n t i n t h e c i r c u i t i n s \tan t l y .$

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