Question

Three circuits A, B and C are connected in series across a 200V supply. The voltage across circuit A is 50 V lagging the supply voltage by 045 and the voltage across circuit C is 100 V leading the supply voltage by 030 . Determine graphically, the voltage across circuit B and its phase displacement from the supply voltage.

Answer 1

ANSWER:::

Phase difference , also called phase angle , in degrees is conventionally defined as a number greater than -180, and less than or equal to +180. Leading phase refers to a wave that occurs "ahead" of another wave of the same frequency. ... Engineers and technicians generally use degrees; physicists more often use radians.

Given that

supply voltage=200$\angle$0⁰ v

voltage across circuit A=50$\angle$-45⁰

voltage across circuit C=100$\angle$30⁰

let voltage across circuit B=v

VS - 200 L Supply voltage voltage actoss Cat A (VA) = 50 1-45° < (ve) = loo 1300 Voilage actoss .ckt Voltage actoss ckt B (VB) - v {iet} All vologe must be added as ckt is in series Vs =VA +VB + VC 20060° - 50 -450 +V8 +100 L300 200 Ls = 127.8316-85° +V=> VE 200109 -122.8316-85 V: 79.41 1-10.63 v= 79.41 210 38' lagging [ indicates ragging angle]