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Mesh Analysis -- (4 meshes)
http://img185.imageshack.us/img185/1541/screenshot01ly9.jpg
V=IR
KVL
Loop 1 is the top left loop.
Loop 2 is the top right loop.
Loop 3 is the bottom right loop.
Loop 4 is the bottom left loop.
(Think of the quadrants in the cartesian coordinate system... that's my loop and loop currents).
Loop currents are going in the CW direction.
For Loop 1:
-14 + I_1 + (I_1 - I_2) + (I_1 - I_4) = 0
For Loop 2:
I_2 = 2mA
For Loop 3 & 4:
Since they are super meshes because of the shared current source... this is what I have:
4mA = I_3 - I_4
-- and --
using the supermesh idea, and short-circuiting the shared 4mA current source...
I4 + 2*I3 + I3 + I4 = 0... which is 3I_3 + 2I_4 = 0
Is my setup correct?
If so, this is what I did...
solved for I_4 in the equation 3I_3 + 2I_4 = 0... I_4 = (-3I_3) / 2
I plugged that I_4 into the eq. 4mA = I_3 - I_4... and I got I_3 = 2mA.
I assumed I_0, what we're trying to find, is equal to I_3. Is this a valid assumption since the current is going around that mesh?
Homework Statement
http://img185.imageshack.us/img185/1541/screenshot01ly9.jpg
Homework Equations
V=IR
KVL
The Attempt at a Solution
Loop 1 is the top left loop.
Loop 2 is the top right loop.
Loop 3 is the bottom right loop.
Loop 4 is the bottom left loop.
(Think of the quadrants in the cartesian coordinate system... that's my loop and loop currents).
Loop currents are going in the CW direction.
For Loop 1:
-14 + I_1 + (I_1 - I_2) + (I_1 - I_4) = 0
For Loop 2:
I_2 = 2mA
For Loop 3 & 4:
Since they are super meshes because of the shared current source... this is what I have:
4mA = I_3 - I_4
-- and --
using the supermesh idea, and short-circuiting the shared 4mA current source...
I4 + 2*I3 + I3 + I4 = 0... which is 3I_3 + 2I_4 = 0
Is my setup correct?
If so, this is what I did...
solved for I_4 in the equation 3I_3 + 2I_4 = 0... I_4 = (-3I_3) / 2
I plugged that I_4 into the eq. 4mA = I_3 - I_4... and I got I_3 = 2mA.
I assumed I_0, what we're trying to find, is equal to I_3. Is this a valid assumption since the current is going around that mesh?
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