Question

Figure shows three resistor configurations `R_1,R_2 and R_3` connected to 3V battery. If the power dissipated by the configuration `R_1,R_2 and R_3` is `P_1, P_2 and P_3`, respectively. Then -
, ,
A. `P_1gtP_2gtP_3`
B. `P_1gtP_3gtP_2`
C. `P_2gtP_1gtP_3`
D. `P_3gtP_2gtP_1`

Answer 1

Correct Answer - C
(c) We Know that `P = V^2/R`
For constant value of potential difference (V) we have
` P prop 1/R`
Case (i)

This is a case of balanced Wheatstone bridge `R_1 = 1Omega`
Case (ii)
Clearly the equivalent resistance `(R_2)` will be less than
`1Omega.`
Case (iii)
Thus, `R_3 = 2Omega`
Since, `R_2 lt R_1 lt R_3`
`:. P_2gt P_1gt P_3`.