equivalent emf

IF different batteries of different emf are joined in parallel...then what is the equivalent emf?
suppose 4 batteries of emf=1,2,3 and 4 respectively are joined in parallel then what is the equivalent emf?

9 Answers

49
Subhomoy Bakshi ·

depends on the internal resistances...

1
jit kamdar ·

suppose internal resistance r same ie 0.1ohm..then?

49
Subhomoy Bakshi ·

what do u mean by equivalent EMF??

u can find out equivalent potential difference.. not emf!

1
jit kamdar ·

ya sorry equivalent potential difference

49
Subhomoy Bakshi ·

consider i1, i2, i3.... currents in each loop..

and consider the net current flows thru external resistance R.
(kirchoff's junction law)

now apply loop law and find P.D.

21
Shubhodip ·

When n number of batteries with emf \xi _{i} and internal resistance r_{i} are connected in parallel i= (1,2,....n) the combination acts as a battery of emf \varepsilon _{eq} = \frac{\sum_{i=1}^{}{n}(\xi _{i}\sum_{p\neq q\neq i}^{}{}r_{p}r_{q}) }{\sum_{m\neq n}^{}{}r_{m}r_{n}}

49
Subhomoy Bakshi ·

I hate formulae in physics! :'(

21
Shubhodip ·

i derived that using induction...

49
Subhomoy Bakshi ·

:P my common dialogue: In physics think physics! [6]

By the way you are one of the best mathematicians I have ever seen...:D

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