24. (a) The AC voltage across, and current through a load are measured as v=240cos(лt + v) V and i = -5cos(лt + ₁) A. The voltage v reaches its peak at t = 1.1s and the current i reaches its peak at t = 0.9s. Calculate the phase difference between v and i. Is the load an inductive or a capacitive? Briefly explain why. Calculate the power factor of the load. Calculate the active power of the load. Calculate the reactive power of the load. (vi) Calculate the apparent power of the load. (i) (ii) (iii) (iv) (v)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
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Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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24.
(a) The AC voltage across, and current through a load are measured as
v = 240cos(nt + v) V and i = -5cos(ët + þ1) A. The voltage v reaches its peak at
t = 1.1s and the current i reaches its peak at t = 0.9s.
(i)
(ii)
Calculate the phase difference between v and i.
Is the load an inductive or a capacitive? Briefly explain why.
(iii)
(iv)
Calculate the power factor of the load.
Calculate the active power of the load.
Calculate the reactive power of the load.
(vi) Calculate the apparent power of the load.
(v)
W
Transcribed Image Text:24. (a) The AC voltage across, and current through a load are measured as v = 240cos(nt + v) V and i = -5cos(ët + þ1) A. The voltage v reaches its peak at t = 1.1s and the current i reaches its peak at t = 0.9s. (i) (ii) Calculate the phase difference between v and i. Is the load an inductive or a capacitive? Briefly explain why. (iii) (iv) Calculate the power factor of the load. Calculate the active power of the load. Calculate the reactive power of the load. (vi) Calculate the apparent power of the load. (v) W
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