Power Triangle Relations — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Power Triangle Relations This relationship holds true for analyzing power in alternating current (AC) circuits containing resistive, inductive, and capacitive loads. The power factor is defined as the ratio of Real Power (P) to Apparent Power (S): = P/S. Apparent power is defined by the impedance: S = I Z, and Real power by resistance: P = I 2 R. Substituting these definitions yields: = I 2 R I Z = R Z . The total impedance Z is calculated using the Pythagorean theorem: Z = R 2 + (X L - X C) 2 . R 0 Z > 0 The circuit must be operating under steady-state AC conditions. Confusing the power factor ( ) with the phase angle ( ) itself. Assuming the total impedance (Z) is simply the sum of R, X L , and X C (it must be the vector sum). Mistaking the units of power (Watts) for the units of impedance (Ohms).