Mesh analysis works by arbitrarily assigning mesh currents in the essential meshes (also referred to as independent meshes). An essential mesh is a loop in the circuit that does not contain any other loop. labels the essential meshes with one, two, and three.
ind the current of the voltage generator V = 10 V, f = 1 kHz, R = 4 kohm, R2 = 2 kohm, C = 250 nF, L = 0.5 H, I = 10 mA, vS(t) = V cosw t, iS(t) = I sinw t
Although we could again use the method of node potential with only one unknown, we will demonstrate the solution with the mesh current method.
Let's first calculate the equivalent impedances of R2,L (Z1) and R,C (Z2) to simplify the work:
and
and
We have two independent meshes (loops).The first is: vS, Z1 and Z2 and the second: iS and Z2. The direction of the mesh currents are: I1 clockwise, I2 counterclockwise.
The two mesh equations are: VS = J1*(Z1 + Z2) + J2*Z2 J2 = Is
You must use complex values for all the impedances, voltages and currents.
The two sources are: VS = 10 V; IS = -j*0.01 A.
We calculate the voltage in volts and the impedance in kohm so we get the current in mA.
Hence:
j1(t) = 10.5 cos (w×t -7.1°) mA
Vs:=10;
with matildo
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