when two ohm resistance is connected between terminals of a cell current flow is 2A and 5 ohm resistance is connected then current is 1A. find out EMF and internal resistance of the cell?
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PART-I
- Current flowing( I ) = 2 A
- Resistance of the resistor connected ( R )= 2 Ω
⟹ E = I( R + r )
⟹ E = 2 ( 2 + r ) .... (1)
PART -II
- Current flowing (I)= 1 A
- Resistance of the resistor connected ( R)= 5 Ω
⟹ E = I( R + r )
⟹ E = 1 ( 5 + r ) ....(2)
Equating equation (1) and (2) we get ,
⟹ 2 ( 2 + r ) = 1 ( 5 + r )
⟹ 4 + 2r = 5 + r
⟹ 2r - r = 5 - 4
⟹ r = 1 Ω
∴The internal resistance of the cell is 1 Ω
Substituting the value of r in ( 1 ) we get ,
⟹ E = 2 ( 2 + 1 )
⟹ E = 2 ( 3 )
⟹ E = 6 V
∴The EMF of the cell is 6 V
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