A battery of EMF 12V and internal resistance 4 ohm is connected to an external resistance R. If the current in the resistance is 0.5A , calculate the value of (a) R (b)the terminal voltage of the battery?

Dear Student,Given,E=12V, r=4Ω, I=0.5Aa) Total resistance in the ckt is,Rt=r+R=(4+R)ΩI=ERt0.5=124+R2+0.5R=120.5R=10R=20Ωb) Let the terminal p.d be V.V=E-IrV=12-0.5×4=10VRegards..

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