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Derive the relation R=R_1+R_2+R_3. When resistors are joined in series. |
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Answer» Solution :In series combination, the same current FLOWS in all the resistances but the potential difference across each of the resistance is DIFFERENT. According to Ohm law , we have `V_1=IR_1,V_2=IR_2,V_3=IR_3` IF the total potential difference between A and B is V, then `V=V_1+V_2+V_3` `=IR_1+IR_2+IR_3=I(R_1+R_2+R_3)` LET the equivalent resistance be R, then V=IR and hence `IR=I(R_1+R_2+R_3)` `implies R=R_1+R_2+R_3`
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