1.

Two cells A and B with same e.m.f. of 2 V each and with internal resistance r_A = 3.5 Omega and r_B = 0.5 Omega are connected in series with an external resistance R = Omega RFind the terminal voltages across the two cells.

Answer»

Solution :We know `i= V/R =(epsi)/(R+r)`
CURRENT through the circuit
`i= (epsi)/((R+r)) = (2+2)/((3+3.5 + 0.5))= 4/7`
i) `R= 3 Omega , r_A = 3.5 Omega , E= 2V`
Terminal voltage across `A, V_A = E - ir_A `
`= 2 - 4/7 xx 3.5 = 0 `volt
ii) `r_B = 0.5 Omega, R = 3 Omega , in = 2V`
Terminal voltage across B, `V_B = E- ir_B`
`= 2- 4/7 xx 0.5 = 1.714 ` volts


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