- #1
magnifik
- 360
- 0
I am trying to find the indicated currents for the following circuit, given v1 = 2sin(2t + 45):
I attempted to solve it in the following way:
v1 = 2sin(2t+45) // given
= 2[sin(2t)cos(45) + cos(2t)sin(45)]
= √2[sin(2t) + cos(2t)]
I use a matrix for the loops:
A =
[2 -1 -1
-1 3 -1
-1 -1 3]
b =
[√2
0
0]
I'm wondering what format the final solution should be in. Should it be Isin(2t+45) or I[sin(2t) + cos(2t)]?
Btw, I got √2/2 for the magnitude of both the currents.
Any input is appreciated. Thanks in advance.
I attempted to solve it in the following way:
v1 = 2sin(2t+45) // given
= 2[sin(2t)cos(45) + cos(2t)sin(45)]
= √2[sin(2t) + cos(2t)]
I use a matrix for the loops:
A =
[2 -1 -1
-1 3 -1
-1 -1 3]
b =
[√2
0
0]
I'm wondering what format the final solution should be in. Should it be Isin(2t+45) or I[sin(2t) + cos(2t)]?
Btw, I got √2/2 for the magnitude of both the currents.
Any input is appreciated. Thanks in advance.