⭕Please Explain all three cases un details...thanQ 🙂

Asked by jhajuhi19 | 13th Jun, 2020, 05:21: PM

Expert Answer:

Concept of moving conducting Rod in earths magnetic field
The basic concept that has been used here is if the conductor is moved in magnetic field an emf s induced
E m f equals B l v S i n theta
W h e r e space theta space i s space t h e space a n g l e space b e t w e e n space t h e space d i r e c t i o n space o f space v e l o c i t y space a n d space m a g n e t i c space f i e l d.
I n space c a s e space 1 space a s space t h e space c o n d u t o r space i s space p l a c e d space h o r i z o n t a l l y space a n d space m o v e s space i n space h o r i z o n t a l space p l a n e space i t space m a k e s space a n g l e space 90 to the power of 0 space w i t h space t h e space m a g n e t i c space f i e l d space a n d space h e n c e space e m f space i s space i n d u c e d space i n space b o t h space t h e space d i r e c t i o n space o f space i t s space m o v e m e n t.
I n space c a s e space 2 space A s space t h e space c o n d u c t o r space h a s space b e e n space h o l d space v e r t i c a l l y space a n d space a n d space m o v e d space i n space W minus W space d i r e c t i o n space i t s space d i r e c t i o n space o f space m o t i o n space m a k e s space a n g l e space 90 to the power of 0 space w i t h space h o r i z o n t a l space e a r t h s space m a g n e t i c space f i e l d space w h i c h space i s space i n space S minus N space d i r e c t i o n space a n d space h e n c h e space e m f space i s space i n d u c e d
w h e r e a s space w h e n space i t space i s space m o v e d space i n space N minus S thin space l i n e space t h e space d i r e c t i o n space o f space m o t i o n space o f space c o n d u c t o r space i s space p a r a l l e l space t o space t h e space d i r e c t i o n space o f space m a g n e t i c space f i e l d space l i n e s space a n d space h e n c e space i t space i s space m a k i n g space 0 to the power of 0 space w i t h space m a g n e t i c space f e l d space l i n e space t h e r e f o r e space E m f equals B l v S i n 0 to the power of 0 space c o m e s space o u t space t o space b e space z e r o
I n space c a s e space 3 space T h e space c o n d u c t o r space i s space p l a c e d space h o r i x o n t a l l y space s o space w h e n space i t space i s space m o v e d space i n space E minus W space d i r e c t i o n space space i t space m a k e s space a n g l e space 90 to the power of 0 space w i t h space t h e space m a g n e t i c space f i e l d space a n d space h e n c e space e m f space i s space i n d u c e d space i n space b o t h space t h e space d i r e c t i o n space o f space i t s space m o v e m e n t space o n space t h e space o t h e r space h a n d space i f space i t space m o v e s space i n space N minus S space d i r e c t i o n space space i t space i s space m a k i n g space 0 to the power of 0 space w i t h space m a g n e t i c space f e l d space l i n e space t h e r e f o r e space E m f equals B l v S i n 0 to the power of 0 space c o m e s space o u t space t o space b e space z e r o spaceE m f equals B l v S i n theta
W h e r e space theta space i s space t h e space a n g l e space b e t w e e n space t h e space d i r e c t i o n space o f space v e l o c i t y space a n d space m a g n e t i c space f i e l d.
I n space c a s e space 1 space a s space t h e space c o n d u t o r space i s space p l a c e d space h o r i z o n t a l l y space a n d space m o v e s space i n space h o r i z o n t a l space p l a n e space i t space m a k e s space a n g l e space 90 to the power of 0 space w i t h space t h e space m a g n e t i c space f i e l d space a n d space h e n c e space e m f space i s space i n d u c e d space i n space b o t h space t h e space d i r e c t i o n space o f space i t s space m o v e m e n t.
I n space c a s e space 2 space A s space t h e space c o n d u c t o r space h a s space b e e n space h o l d space v e r t i c a l l y space a n d space a n d space m o v e d space i n space W minus W space d i r e c t i o n space i t s space d i r e c t i o n space o f space m o t i o n space m a k e s space a n g l e space 90 to the power of 0 space w i t h space h o r i z o n t a l space e a r t h s space m a g n e t i c space f i e l d space w h i c h space i s space i n space S minus N space d i r e c t i o n space a n d space h e n c h e space e m f space i s space i n d u c e d
w h e r e a s space w h e n space i t space i s space m o v e d space i n space N minus S thin space l i n e space t h e space d i r e c t i o n space o f space m o t i o n space o f space c o n d u c t o r space i s space p a r a l l e l space t o space t h e space d i r e c t i o n space o f space m a g n e t i c space f i e l d space l i n e s space a n d space h e n c e space i t space i s space m a k i n g space 0 to the power of 0 space w i t h space m a g n e t i c space f e l d space l i n e space t h e r e f o r e space E m f equals B l v S i n 0 to the power of 0 space c o m e s space o u t space t o space b e space z e r o
I n space c a s e space 3 space T h e space c o n d u c t o r space i s space p l a c e d space h o r i x o n t a l l y space s o space w h e n space i t space i s space m o v e d space i n space E minus W space d i r e c t i o n space space i t space m a k e s space a n g l e space 90 to the power of 0 space w i t h space t h e space m a g n e t i c space f i e l d space a n d space h e n c e space e m f space i s space i n d u c e d space i n space b o t h space t h e space d i r e c t i o n space o f space i t s space m o v e m e n t space o n space t h e space o t h e r space h a n d space i f space i t space m o v e s space i n space N minus S space d i r e c t i o n space space i t space i s space m a k i n g space 0 to the power of 0 space w i t h space m a g n e t i c space f e l d space l i n e space t h e r e f o r e space E m f equals B l v S i n 0 to the power of 0 space c o m e s space o u t space t o space b e space z e r o space

Answered by Utkarsh Lokhande | 14th Jun, 2020, 06:13: AM

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