(d) the currents, I 1, I 2 and I 3 passing through each resistor. (b) the effective resistance, R of the circuit, (a) the potential difference across each resistor, The three resistors, R 1, R 2 and R 3, in are connected in parallel to the battery as shown in Figure. ![]() Power Rating and Energy Consumption of Various Electrical Appliances.Relationship between Energy Transferred, Current, Voltage and Time.Electromotive Force, Internal Resistance & Potential Difference of a Cell/Battery.What is the Relationship between Electric Current and Potential Difference?.What is an electric field and how is it created?.How do you calculate the total resistance of a series circuit?.How series and parallel circuits are different?.Current flowing through each resistor is inversely proportional to its resistances, thus higher the resistance of a resistors, lower will be the current flowing through it.In a parallel combination of resistors the voltage (or potential difference) across each resistor is the same and is equal to the applied voltage i.e.Total current through the circuit is equal to the sum of the currents flowing through it.Important results about parallel combination: The equivalent circuit is shown in Figure.The equivalent resistance of a parallel combination of resistance is less than each of all the individual resistances. Substituting the values of I, I 1, I 2 and I 3 in Eq.If R is the equivalent resistance, then from Ohm’s law, the total current flowing through the circuit is given by,.Then, from Ohm’s lawĬurrent passing through R 1, I 1 = V/R 1 … (i)Ĭurrent passing through R 2, I 2 = V/R 2 … (ii)Ĭurrent passing through R 3, I 3 = V/R 3 … (iii) Let, V be the potential difference across the two common points A and B. Derivation of mathematical expression of parallel combination:.When such a combination of resistance is connected to a battery, all the resistances have the same potential difference across their ends. ![]()
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