1.

Compare the power used in the 2Omega resistor in each of the following circuits: a 4 V battery in parallel with 12 Omega and 2Omega resistors

Answer»

Solution :As `12 Omega` resistor and `2Omega` resistor are connected in PARALLEL and 4 V battery is connected in parallel with this parallel combination of resistors,
The p.d. across `2Omega` resistor will also be 4 V.
`:.` Power USED in `2Omega` resistor.
`P_2 = V^2/R = 4^2/2 =16/2 =8 W`
In order to compare the power used in `2 Omega` resistor in two DIFFERENT circuits, find the ratio of `P_1 and P_2`.
So, `P_1/P_2=8/8 =1 :. P_1 = P_2`
HENCE `2Omega` resistor uses equal power, i.e., 8 W in both the circuits.


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