Compare the power used in the 2Omega resistor in each of the following circuits: i] a 6 V battery in series with 1Omegaand2Omega resistors, and ii] a 4 V battery in parallel with 12Omegaand2Omega resistors.

Compare the power used in the 2Omega resistor in each of the following

1.	Compare the power used in the 2Omega resistor in each of the following circuits: i] a 6 V battery in series with 1Omegaand2Omega resistors, and ii] a 4 V battery in parallel with 12Omegaand2Omega resistors.
Answer» Solution :i] Potential difference M = 6 V Here `1Omegaand2Omega` resistors are connected in series, `therefore` equivalent resistance of the circuit [R] = 1 + 2 = `3Omega`, According to Ohm.s law `V=IRorI=V/R=6/3=2A` the CURRENT through the circuit [I] = 2A Now the power USED in the `2Omega` resistor Power = `I^(2)R=2xx2xx2=8W` ii] Potential difference, V = 4V `12Omegaand2Omega` resistors are connected in PARALLEL. The voltage across each component of a parallel circuit REMAINS the same. Hence, the voltage across `2Omega` resistor will be 4 V. Power consumed by `2Omega` resistor is given by `P=V^(2)/R=4^(2)/2=8W` `therefore` the power used by `2Omega` resistor is 8W.