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Solve the following problems. (100 points)
1、( 6 points) Find Uab in the circuit in Figure 1.
0.5I
3k Ω
+ -
a
+
I
6mA 2k Ω Uab
-
b
Figure 1
2、( 8 points) Find u and i in the circuit in Figure 2.
o o
20k Ω
io
+
+
-
+
+
80k Ω
1V
100k Ω uo
- 10k Ω
50k Ω
-
Figure 2
3、( 6 points) In the circuit of Figure 3, readings of voltmeter V1 ,V2 and V3
○ ○ ○
are 10V, 18V and 6V, respectively. Please determinate the reading of the
voltmeter V .
○
V1 V2
a
L C
V R V3
b
Figure 3
4、( 8 points) The resonant or tuner circuit of a radio is portrayed in Figure 4,
s1
where u represents a broadcast signal, given that R=10 Ω, L=200 μH,
U =1.5mV ,f =1008kHz. If the circuit is resonant with signal u , please
s1rms 1 s1
determinate: (1) the value of C; (2) the quality factor Q of the circuit; (3) the
current Irms; (4) the voltageUcrms.
i R
+
L
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