The two following cases figure the input vin

574	C H A P T E R				T E N
574	C H A P T E R				T E N	a) The time constant of the circuit. b) An analytic expression for the signal vOUT(t) as a function of time.
(a)
+
vIN(t)		1 MΩ		vOUT(t)
-
(b)	500 Ω		1 mH	+
vIN(t)	+ -	500 Ω		vOUT(t)

						i) an expression for the time constant τ,

ii) a sketch of the signal versus time,

(a)		R2	+
R1	L	R2	v
FIGURE 10.85		L2	-
			-
			i2
				c) Referring to Figure 10.87, find v(t) for t > 0 given that the switch is moved from
(b)
(b)
I0	L1
I0	L1			(c)

	+	2	R2	R1	C1	+ v −
			R2
			C2


at t = 0, given that if vI = Atu−1(t) then vC = [A(t − τ) + Aτe−t/τ]u−1(t). Note that u−1(t) represents a unit step at t = 0.
16. Recall that the notation u0(t) represents an impulse at time t . The notation un(t) represents

at t = 0, given that if vI = Atu−1(t) then vC = [A(t − τ) + Aτe−t/τ]u−1(t). Note that u−1(t) represents a unit step at t = 0.

16. Recall that the notation u0(t) represents an impulse at time t . The notation un(t) represents

dIN		*	dOUT	FIGURE 10.91
CM
dIN

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