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Calculate the power used in the 2ohm resistors. a) a 6v battery in series with 1ohm and 2ohm resistors b) a 4v battery in parallel with 12ohm and 2ohm resistors |
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Answer» here's ur answerExplanation:(i) Potential difference, V = 6 V1Ohm and 2 Ohm resistors are connected in series. Therefore, EQUIVALENT resistance of the circuit, R = 1 + 2 = 3 OhmAccording to Ohm’s law,V = IRWhere,I is the current through the circuitI= 6/3 = 2 AThis current will flow through each component of the circuit because there is no DIVISION of current in series circuits. Hence, current flowing through the 2Ohm resistor is 2 A. Power is given by the expression,P= (I)2R = (2)2 x 2 = 8 W(ii) Potential difference, V = 4 V12 Ohm and 2 Ohm resistors are connected in parallel. The voltage across each component of a parallel circuit remains the same. Hence, the voltage across 2 Ohm resistor will be 4 V.Power consumed by 2 Ohm resistor is given byP= V2/R = 42/2 = 8 WTherefore, the power used by 2 Ohm resistor is 8 W. |
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