1.

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

Answer»

`E_A = 2.0v,E_B = 1.5 V`
`E_A= 2.125V,E_B= 1.375V`
`E_A=1.875V,E_B=1.625 V`
`E_A= 1.875V,E_B =1.375 V `

Solution :SupposecurrentIisflowingthroughthe circuitusingKirchhoff.svoltagelawin thecircuit
`2-1.5 -5I-10 I-5I =0`
`implies0.5= 20I impliesI=(0.5 )/(20)=(1)/(40 )A `
terminalpotentialdiffernceacrossthe cell A
` E_A= 2-Ir=2 -(1)/(40 ) xx 5 =1.875V.`
terminalpotentialdifference acrossthe cell B
` E_B= 1.5+Ir= 1.5+(1)/(40)xx 5 = 1.875V.`
terminalpotentialdiffernceacrossthe cellB.
` E_B= 1.5 +Ir = 1.5+(1)/(40) xx5 =1.625 V.`


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