Equate Eq 1 to Eq 2 220 110 Ja (377L) R (154L) R+(377L) R(157L) 110-V 25 H: 220 l110 X 3R 43533 L R-120.461L O

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This question has already been answered, I just need an explanation or a more detailed computation of this problem. I'm having trouble with where and how did they get 3R ^2 = 43533L^2. Hoping your Team will show to me on how they are computed.

Problem 200: EE Board Oetober 198s
A coil draws 1875 watts when connected to a 150 V DC source. it consu
3072 watts when used on 240 V, 60 Hz AC source. Find the inductance of the co
0.0255 H
B. 0.0341 H
C. 0.0153H
D.
A.
0.0240 H
Atf- 60 Hz, w -377
213
220
R +(377L
220-V
60 Hz
Atf-25 Hz.w-157:
110
1-
ZR(1541.y
Xu
Note Since R IS constant and power drawn
in both conditions are equal then curtents
drawn respectively are also equal
Equate Eq 1 to Eq 2
220
110
VR?
R+(377L)
R(157L)
* (377L)
(154L)
110-V
220
110
3R- 43533 L
25 Hz
X12
[2]
R-120.461L
P-PR
220
250-
R,377 L R→
+]
Solutio
Substitute Eq.3 in Eq. 4:
220 (120.46 L)
250
(120.46L) + (377) L2
250(120.46) L + 250(377) L? = (220) (120.46)L
220 (120.46)
L-
250(120.46 + 377?)
L-0.149 H
wIN
Transcribed Image Text:Problem 200: EE Board Oetober 198s A coil draws 1875 watts when connected to a 150 V DC source. it consu 3072 watts when used on 240 V, 60 Hz AC source. Find the inductance of the co 0.0255 H B. 0.0341 H C. 0.0153H D. A. 0.0240 H Atf- 60 Hz, w -377 213 220 R +(377L 220-V 60 Hz Atf-25 Hz.w-157: 110 1- ZR(1541.y Xu Note Since R IS constant and power drawn in both conditions are equal then curtents drawn respectively are also equal Equate Eq 1 to Eq 2 220 110 VR? R+(377L) R(157L) * (377L) (154L) 110-V 220 110 3R- 43533 L 25 Hz X12 [2] R-120.461L P-PR 220 250- R,377 L R→ +] Solutio Substitute Eq.3 in Eq. 4: 220 (120.46 L) 250 (120.46L) + (377) L2 250(120.46) L + 250(377) L? = (220) (120.46)L 220 (120.46) L- 250(120.46 + 377?) L-0.149 H wIN
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