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Solve the following problems. (100 points)
1、( 6 points) Find Uab in the circuit in Figure 1.
2、( 8 points) Find uo and io in the circuit in Figure 2.
3、( 6 points) In the circuit of Figure 3, readings of voltmeter ， and are 10V, 18V and 6V, respectively. Please determinate the reading of the voltmeter .
4、( 8 points) The resonant or tuner circuit of a radio is portrayed in Figure 4, where us1 represents a broadcast signal, given that R=10Ω，L=200μH, Us1rms=1.5mV，f1=1008kHz. If the circuit is resonant with signal us1, please determinate: (1) the value of C; (2) the quality factor Q of the circuit; (3) the current Irms; (4) the voltage Ucrms.
5、( 8 points) A balanced three-phase circuit is shown in Figure 5. Calculate the phase currents and voltages in the delta-connected load Z, if , Z=(24+j15)Ω，ZL=(1+j1)Ω.
6、( 8 points) Find the y parameters for the circuit in Figure 6.
7、( 15 points) For the circuit in figure 7, find the rms value of the current i and the average power absorbed by the circuit, given that , ,,,.
8、( 12 points) In the circuit of Figure 8, determinate the value of Z that will absorb the maximum power and calculate the value of the maximum power.
9、( 14 points) If the switch in Figure 9 has been closed for a long time and is opened at t = 0, find uc, iL, uk for t ≥ 0.
10、( 15 points) The switch in Figure 10 has been in position a for a long time. At t = 0, it moves to position b. Find i2(t) for t ≥ 0 and sketch it. (Attention: Please mark the key data in your graph.)
Solve the following problems. (100 points)
1、( 6 points) Find Uab in the circuit in Figure 1.
Solution:
Uab= 9V
2、( 8 points) Find uo and io in the circuit in Figure 2.
Solution:
,
3、( 6 points) In the circuit of Figure 3, readings of voltmeter ， and are 10V, 18V and 6V, respectively. Please determinate the reading of the voltmeter .
Solution:
The reading of the voltmeter is 10V.
4、( 8 points) The resonant or tuner circuit of a radio is portrayed in Figure 4, where us1 represents a broadcast signal, given that R=10Ω，L=200μH, Us1rms=1.5mV，f1=1008kHz. If the circuit is resonant with signal us1, please determinate: (1) the value of C; (2) the quality factor Q of the circuit; (3) the current Irms; (4) the voltage Ucrms.
Solution:
5、( 8 points) A balanced three-phase circuit is shown in Figure 5. Calculate the phase currents and voltages in the delta-connected load Z, if , Z=(24+j15)Ω，ZL=(1+j1)Ω.
Solution:
,
6、( 8 points) Find the y parameters for the circuit in Figure 6.
Solution:
7、( 15 points) For the circuit in figure 7, find the rms value of the current i and the average power absorbed by the circuit, given that , ,,,.
Solution:
P=P0+P1+P2=256+333.28+50=639.28W
8、( 12 points) In the circuit of Figure 8, determinate the value of Z that will absorb the maximum power and calculate the value of the maximum power.
Solution:
If , Z will absorb the maximum average power.
The maximum average power is,
9、( 14 points) If the switch in Figure 9 has been closed for a long time and is opened at t = 0, find uc, iL, uk for t ≥ 0.
Solution:
，
10、( 15 points) The switch in Figure 10 has been in position a for a long time. At t = 0, it moves to position b. Find i2(t) for t ≥ 0 and sketch it. (Attention: Please mark the key data in your graph.)
Solution:
打发第三方
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