Consider two circuits, a circuit B and a circuit W. The information we have are the equations that were obtained by making Kirchhoff's voltage law, the self-inductance of B (Lp), the self-inductance of W (Lw), mutual inductance between the circuits (M) and resistance (R). The equations depend on the variables ig and iw, where ig is the current passing through circuit B and iw is the current passing through circuit W. Also assume that the circuits have NO sources. The values we have are: Lâ = 6µH, Lw = 4µH, M = 3µH and R = 5N. %3D %3D Unique equation of circuit B: diw + M dt dig igR + LB dt Unique equation of circuit W: diw dig + M dt iwR + Lw = 0 dt Using the two equations and setting up the solution eat (where a is the time constant t), find the time constant of circuit B (Tw) and the time constant of circuit W (Tw). your procedure in detail, explain

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Consider two circuits, a circuit B and a circuit W. The
information we have are the equations that were obtained by
making Kirchhoff's voltage law, the self-inductance of B (LB),
the self-inductance of W (Lw), mutual inductance between the
circuits (M) and resistance (R).
The equations depend on the variables ig and iw, where ig is
the current passing through circuit B and iw is the current
passing through circuit W. Also assume that the circuits have
NO sources. The values we have are: LB = 6µH, Lw = 4µH,
М — ЗиН and R — 50.
Unique equation of circuit B:
dig
diw
+ M
dt
igR + LB
dt
Unique equation of circuit W:
diw
dig
+ M
dt
iwR + Lw
dt
Using the two equations and setting up the solution eat (where
a is the time constant t), find the time constant of circuit B
(Tw) and the time constant of circuit W (Tw).
explain
your procedure in detail,
Transcribed Image Text:Consider two circuits, a circuit B and a circuit W. The information we have are the equations that were obtained by making Kirchhoff's voltage law, the self-inductance of B (LB), the self-inductance of W (Lw), mutual inductance between the circuits (M) and resistance (R). The equations depend on the variables ig and iw, where ig is the current passing through circuit B and iw is the current passing through circuit W. Also assume that the circuits have NO sources. The values we have are: LB = 6µH, Lw = 4µH, М — ЗиН and R — 50. Unique equation of circuit B: dig diw + M dt igR + LB dt Unique equation of circuit W: diw dig + M dt iwR + Lw dt Using the two equations and setting up the solution eat (where a is the time constant t), find the time constant of circuit B (Tw) and the time constant of circuit W (Tw). explain your procedure in detail,
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