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ABoul
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simple circuit analysis -- can someone check if it's right?
(circuit can be found on http://www.MailFreeOnline.com/uploader/A723E91C.jpg )
i. write down equations relating i1 and v1, i2 and v2 and i3 and v3
ii. solve for the voltages v1, v2 and v3
iii. determine the currents i1, i2 and i3
KVL
KCL
i.
i1 = 3 - V2
i2 = 2 - 2V2
i3 = V3/10
ii.
i1 + i2 = i3
3 - 2V1 + 2 - 2V2 = V3/10
therefore 5 - 2(V1 + V2) = V3/10
iii.
(this is the hard part for me. have i used KVL right?)
first window:
-1.5 + 1 + V1 + V2 = 0
therefore v1 + v2 = 0.5
second window:
-1 + V2 + v3 = 0
therefore V2 + v3 = 1
overall window:
V1 + V2 + V3 = 1.5
Homework Statement
(circuit can be found on http://www.MailFreeOnline.com/uploader/A723E91C.jpg )
i. write down equations relating i1 and v1, i2 and v2 and i3 and v3
ii. solve for the voltages v1, v2 and v3
iii. determine the currents i1, i2 and i3
Homework Equations
KVL
KCL
The Attempt at a Solution
i.
i1 = 3 - V2
i2 = 2 - 2V2
i3 = V3/10
ii.
i1 + i2 = i3
3 - 2V1 + 2 - 2V2 = V3/10
therefore 5 - 2(V1 + V2) = V3/10
iii.
(this is the hard part for me. have i used KVL right?)
first window:
-1.5 + 1 + V1 + V2 = 0
therefore v1 + v2 = 0.5
second window:
-1 + V2 + v3 = 0
therefore V2 + v3 = 1
overall window:
V1 + V2 + V3 = 1.5
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