Two cells of emfs 1.5 V and 2.0 V having internal resistances 0.2 Ω and 0.3 Ω respectively are connected in parallel. Calculate the emf and internal resistance of the equivalent cell.
The EMF of the equivalent Cell is 
The internal resistance of the equivalent cell is 
Given
The EMF of the two cells are given as 
and
, the internal resistance of the two cells are given as 
and 
respectively and are connected in parallel.
Formula Used
To find the effective EMF and internal resistance we use the formula of Effective Parallel EMF which indicates if the resistance is attached in parallel to each other between two voltage, the effective EMF is equivalent to the EMF acted by the load resistance and for the internal resistance, the internal load resistance is the ratio of the product resistance by sum of the resistance.
and
where
is the effective EMF, 
and 
are the EMF of the cells, 
and 
is the resistance of the cells, 
is the internal resistance.
The EMF of 
and 
= 
and 
resp.
The internal resistance 
and
respectively
The EMF of the 2 cells connected in parallel is
and
The internal resistance is
Therefore, The EMF of the equivalent Cell is 
and the internal resistance of the equivalent cell is
.
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