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Two cells A and B of e.m.f.2 V and 1.5 V...

Two cells A and B of e.m.f.2 V and 1.5 V respectively, are connected as shown in figure through an external resistance 10 `Omega` The internal resistance of each cell is 5 `Omega`. The potential difference `E_A and E_B` across the terminals of the cells A and B respectively are

A

`E_A = 2.0 v,E_B = 1.5 V`

B

`E_A = 2.125 V,E_B = 1.375 V`

C

`E_A =1.875 V,E_B=1.625 V`

D

`E_A = 1.875 V,E_B =1.375 V `

Text Solution

Verified by Experts

The correct Answer is:
C

Suppose current I is flowing through the circuit using Kirchhoff.s voltage law in the circuit
`2-1.5 -5I-10 I-5I =0`
`implies 0.5 = 20 I implies I=(0.5 )/(20) =(1)/(40 )A `
terminal potential differnce across the cell A
` E_A = 2 -Ir =2 -(1)/(40 ) xx 5 =1.875 V.`
terminal potential difference across the cell B
` E_B = 1.5 + Ir = 1.5 +(1)/(40)xx 5 = 1.875 V.`
terminal potential differnce across the cell B.
` E_B = 1.5 +Ir = 1.5 +(1)/(40) xx 5 =1.625 V.`
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Knowledge Check

  • A cell of e.m. E and internal resistance r is connected across a resistancer. The potential difference between the terminals of the cell must be

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    `((E-V)R)/(E)`
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    `((E-V)R)/(V)`
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  • A cell of emf 1.5 V is connected with an external resistance 20 Omega . The potential difference falls to 1.0 V. The internal resistance of cell is

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