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. (i) Calculate the phase difference between v and i. (ii) (iii) Is the load an inductive or a capacitive? Briefly explain why. Calculate the power factor of the load. (iv) Calculate the active power of the load. (v) Calculate the reactive power of the load. (vi) Calculate the apparent power of the load.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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24.
(a) The AC voltage across, and current through a load are measured as
v=240cos(лt + þv) 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.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
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.
Calculate the apparent power of the load.
(b) A 12 kVA, 1.1kV/110V single phase transformer is running at a primary RMS voltage of
1.1kV and primary RMS current of 10.5A.
€€
(i)
Calculate the secondary RMS current.
(ii) Calculate the secondary RMS voltage.
(iii) Calculate the active power delivered to the load.
(iv) Calculate the resistance of the load at the secondary side.
(v) Calculate the resistance of the load reflected on to the primary side.
Transcribed Image Text:24. (a) The AC voltage across, and current through a load are measured as v=240cos(лt + þv) 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. (i) (ii) (iii) (iv) (v) (vi) 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. Calculate the apparent power of the load. (b) A 12 kVA, 1.1kV/110V single phase transformer is running at a primary RMS voltage of 1.1kV and primary RMS current of 10.5A. €€ (i) Calculate the secondary RMS current. (ii) Calculate the secondary RMS voltage. (iii) Calculate the active power delivered to the load. (iv) Calculate the resistance of the load at the secondary side. (v) Calculate the resistance of the load reflected on to the primary side.
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