A network consists of a large number of ideal linear resistors, one of which is R and 2 constant ideal sources. The power consumed by R is P1 when only the first source is active and P2 when only the second source is active. If both sources are active simultaneously, then the power consumed by R is

• A. P1 ± P2
• B. \(\sqrt {{P_1}} \pm \sqrt {{P_2}}\)
• C. \({\left( {\sqrt {{P_1}} \pm \sqrt {{P_2}} } \right)^2}\)
• D. \({\left( {{P_1} \pm {P_2}} \right)^2}\)