In an electric circuit, a call of certain emf provides a potential difference of 1.25 V across a load resistance of 5Ω. However, it provides a potential difference of 1 V across a load resistance of 2

Question

In an electric circuit, a call of certain emf provides a potential difference of 1.25 V across a load resistance of 5Ω. However, it provides a potential difference of 1 V across a load resistance of 2Ω. The emf of the cell is given by 10 x ​ V . Then the value of x is ​ .

TestHub · Accepted Answer

Terminal voltage, v = i R = R + r ER ​ 1 s t → 1.25 = 5 + r E ( 5 ) ​ … ( i ) 2 n d → 1 = 2 + r E ( 2 ) ​ … ( ii ) By ( i ) and ( ii ) , r = 1Ω , E = 2 3 ​ V = 10 15 ​ v o lt ⇒ x = 15

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