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EET 101/4 Electric Circuit 1
ASSIGNMENT 4
1. Find Leq at terminals a-b in each of the circuits below.
6 mH
16 mH
6 mH
25 mH
6 mH
20 mH
25 mH
a
6 mH
8mH
5mH
12mH
4mH
6mH
4mH
4mH
b
10mH
12 mH
1 mH
3 mH
5 mH
25 mH
7 mH
F4 mH
11 mH
EET 101/4 Electric Circuit 1
2. Find Ceq at terminals a-b in each of the circuits below.
8F
5 F6 F
12 F
23 F
9F
11 F
16 F
13 F
26 F
60 m F
6 mF
20 mF
24 m F
18
16mmFF
11 m F
15 m F
16 m F
2mF
34 m F
7m F
26 m F
16 m F
8mF
13 m F
EET 101/4 Electric Circuit 1
3. A 7 mF capacitor has the current waveform shown in Figure below. Assuming that
v(0) = 10 V, sketch the voltage waveform v(t).
i(t) (mA)
15
10
5
0
2
4
6
8
t (s)
-5
-10
-15
4. If the voltage waveform in figure below is applied to a 14 mH inductor, find the
inductor current i(t). Assume i(0) = 0.
v(t) (V)
15
10
5
0
2
-5
-10
-15
4
6
8
t (s)
EET 101/4 Electric Circuit 1
5. The current through a 15 mH inductor is shown in figure below. Determine the voltage
across the inductor at t = 1, 3 , 5 , 7, 9,11,13 ms.
i(t) (mA)
15
10
5
0
2
4
6
8
10
12
14
t (ms)
-5
-10
-15
6. If the voltage waveform in figure below is applied across a 35uF capacitor, draw the
current waveform through it.
V(t) V
9
6
3
0
2
-3
-6
-9
4
6
8
10
12
14
16
18
t (ms)
EET 101/4 Electric Circuit 1
7. Capacitors 34 uF and 46 uF are connected to a 132 V source.. Find the energy stored in
each capacitors if they are connected in : (a) parallel (b) series.
8. The voltage across a 320 mH inductor is given by
v(t) = 3t2 +2t + 5 V for t >0
determine the current i(t)through the inductor. Assume that i(0) = 1 A.
9. The voltage across a 12 H inductor is 24(1-e-2t) V. If the initial current through the
inductor is 0.345 A. find the current, energy stored and power in the inductor at t= 1s.
10. Consider the circuit in Figure below. Given that v(t )  12e3t mV for t > 0 and
ii (0)  10 mA , find:(a)i 2 (0), (b)i1 (t) and i 2 (t)
25m H
+
V
i 1 (t)
20m H
-
Figure
i 2 (t)
60m H
EET 101/4 Electric Circuit 1
11. The inductors in Figure below are initially charged and are connected to the black box
at t = 0,
i(t)
+
Black Box
V
i1(t)
5H
10H
i2(t)
t=0
-
If ii (0)  4 A and i 2 (0)  2 A, and v(t )  50e200t mV, t > 0 find:
a)
b)
c)
d)
the energy initially stored in each inductor
the total energy delivered to the black box from t = 0 to t = 
i1 (t) and i 2 (t), t > 0
i(t), t > 0
12. The three inductors shown in the circuit in Figure below are connected across the
terminals of a black box at t = 0. The resulting voltage for t ≥ 0 is given by,
v b  1250 e 25t V

i1
8H
i2
t 0
32 H
io
Kotak hitam
vb

3.6 H
Figure
(black box)
EET 101/4 Electric Circuit 1
If i1(0) = 10 A and i2(0) = -5 A, find,
i)
io(0)
ii) io (t) for t ≥ 0
iii) i1(t) for t ≥ 0
iv) i2(t) for t ≥ 0
v)
the initial energy stored in the three inductors
vi) the total energy delivered to the black box
13. In the circuit of Figure below, io (t) = 2A. Determine the io (t) and vo (t) for t > 0
i 0 (t)
4e-2t V
3H
5H
+
v o (t )

Figure
14. Consider the circuit in Figure below. Find:
(a) Leq, i1(t) and i2(t) if is (t )  3et mA,
(b) v0 (t ),
(c) energy stored in the 20-mH inductor at t =1s.
i 2 (t)
+ v1 (t ) 
is (t)
i1 (t)
20mH
Figure
+
v 2 (t )

10mH
EET 101/4 Electric Circuit 1
15. Obtain the energy stored in each capacitor and inductor in figures below under dc
conditions.
25 mF
11 kW
9 kW
12 mA
7 kW
3 kW
3 mF
11 kW
11 kW
25 mF
3 mF
13 V
3 kW
11 kW
9H
11 kW
25 mF
13 V
3H
3 kW
12 H