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What is the parallel combination write its mathematical expression

Answer» Brainly.in1Primary SchoolScience 5 pointsDerive the formula of series and parallel resistancesAsk for details Follow Report by GowthamiChowdary 28.12.2017AnswersAbcdefghijklmnopaAbcdefghijklmnopa ExpertDifference between series connection and parallel connection of resistors :In series connection :1. The current is same in every resistor.2. The voltage across any resistor is directly proportional to the resistance of that resistor in the circuit.3. The total resistance in the circuit is equal to the sum of the individual resistances, including the internal resistance of a cell if any.4. The total resistance in the series circuit is more than the greater one in the circuit.In parallel connection :1. The potential difference across each resistance is the same and is equal to the applied potential difference.2. The total current through the parallel combination is the sum of the individual currents through the various resistors.3. The reciprocal of the total resistance pf the parallel combination is equal to the sum of the reciprocals of the individual resistances.4. The total resistance in parallel combination is less than the least resistance used in the circuit. Proof for the above differences is given below :For series connectioFigure shows the 3 resistances R1, R2 and R3 connected in series. When a potential difference V is applied across the combination, the same current I flows through each resistance.By Ohm\'s law, the potential drops across the three resistances are :V1 = I R1, V2 = I R2, V3 = I R3If Rs is the equivalent resistance of the series combination, then we must haveV = I R sBut V = sum of the potential drops across the individual resistances\u200bor V = V1 + V2 + V3or I Rs = I R1 + I R2 + I R3\u200bor Rs = R1 + R2 + R3For parallel combinationI1 = V/R1, I2= V/R2, I3 = V/R3\u200bIf Rp is the resistance of teh parallel combination, then we must haveI = V/Rp\u200bBut, I = I1+ I2 + I3\u200bor V/Rp = V/R1+ V/R2 + V/R3or 1/Rp = 1/R1 + 1/R2 + 1/R3
a1/a2=b1/b2=c1/c2


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