问答题
题如图所示各电路原处于稳定状态,若突然将开关S闭合或断开,求换路瞬间各支路电流及储能元件电压。
[img src="images/tu/6.7BDBF2.jpg" />
【正确答案】各支路电流和储能元件电压参考方向如题解如图所示。
图(a):
[TABLE class=extable_c border=0 cellSpacing=0 align=center>
<TBODY>
<TR>
<TD rowSpan=2> </TD>
<TD rowSpan=2>i<sub>1</sub></TD>
<TD rowSpan=2>i<sub>2</sub></TD>
<TD rowSpan=2>i</TD>
<TD rowSpan=2>u<sub>L</sub></TD></TR>
<TR></TR>
<TR>
<TD rowSpan=2>0<sub>-</sub></TD>
<TD rowSpan=2>2A</TD>
<TD rowSpan=2>2A</TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>0</TD></TR>
<TR></TR>
<TR>
<TD>0<sub>+</sub></TD>
<TD>5A</TD>
<TD>2A</TD>
<TD>3A</TD>
<TD>-6V</TD></TR></TBODY></TABLE>
图(b):
<TABLE class=extable_c border=0 cellSpacing=0 align=center>
<TBODY>
<TR>
<TD rowSpan=2> </TD>
<TD rowSpan=2>i<sub>1</sub></TD>
<TD rowSpan=2>i<sub>2</sub></TD>
<TD rowSpan=2>i</TD>
<TD rowSpan=2>u<sub>c</sub></TD></TR>
<TR></TR>
<TR>
<TD rowSpan=2>0<sub>-</sub></TD>
<TD rowSpan=2>1A</TD>
<TD rowSpan=2>1A</TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>4V</TD></TR>
<TR></TR>
<TR>
<TD>0<sub>+</sub></TD>
<TD>1A</TD>
<TD>0</TD>
<TD>1A</TD>
<TD>4V</TD></TR></TBODY></TABLE>
图(c):
<TABLE class=extable_c border=0 cellSpacing=0 align=center>
<TBODY>
<TR>
<TD> </TD>
<TD>u<sub>c</sub></TD>
<TD>u<sub>L</sub></TD>
<TD>i<sub>c</sub></TD>
<TD>i<sub>L</sub></TD>
<TD>i</TD></TR>
<TR>
<TD rowSpan=2>0<sub>-</sub></TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>0</TD></TR>
<TR></TR>
<TR>
<TD>0<sub>+</sub></TD>
<TD>0</TD>
<TD>5V</TD>
<TD>1A</TD>
<TD>0</TD>
<TD>1A</TD></TR></TBODY></TABLE>
图(d):
<TABLE class=extable_c border=0 cellSpacing=0 align=center>
<TBODY>
<TR>
<TD> </TD>
<TD>u<sub>L</sub></TD>
<TD>i</TD>
<TD>i<sub>1</sub></TD>
<TD>i<sub>2</sub></TD>
<TD>i<sub>3</sub></TD></TR>
<TR>
<TD rowSpan=2>0<sub>-</sub></TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>2A</TD>
<TD rowSpan=2>1A</TD>
<TD rowSpan=2>1A</TD></TR>
<TR></TR>
<TR>
<TD>0<sub>+</sub></TD>
<TD>4V</TD>
<TD>3A</TD>
<TD>0</TD>
<TD>1A</TD>
<TD>2A</TD></TR></TBODY></TABLE>
图(e):
<TABLE class=extable_c border=0 cellSpacing=0 align=center>
<TBODY>
<TR>
<TD> </TD>
<TD>U<sub>c</sub></TD>
<TD>i<sub>1</sub></TD>
<TD>i<sub>2</sub></TD>
<TD>i</TD></TR>
<TR>
<TD rowSpan=3>0<sub>-</sub></TD>
<TD rowSpan=3>U<sub>s</sub></TD>
<TD rowSpan=3><span name='maths'>\frac{U_{s}}{R_{1}}</span></TD>
<TD rowSpan=3>0</TD>
<TD rowSpan=3><span name='maths'>\frac{U_{s}}{R_{1}}</span></TD></TR>
<TR></TR>
<TR></TR>
<TR>
<TD rowSpan=3>0<sub>+</sub></TD>
<TD rowSpan=3>U<sub>s</sub></TD>
<TD rowSpan=3><span name='maths'>\frac{U_{s}}{R_{1}+R_{2}}</span></TD>
<TD rowSpan=3><span name='maths'>\frac{U_{s}}{R_{1}+R_{2}}</span></TD>
<TD rowSpan=3>0</TD></TR>
<TR></TR>
<TR></TR></TBODY></TABLE>
图(f):
<TABLE class=extable_c border=0 cellSpacing=0 align=center>
<TBODY>
<TR>
<TD rowSpan=2> </TD>
<TD rowSpan=2>u[sub>C</sub></TD>
<TD rowSpan=2>i[sub>1</sub></TD>
<TD rowSpan=2>i[sub>2</sub></TD>
<TD rowSpan=2>i[sub>3</sub></TD>
<TD rowSpan=2>i[sub>4</sub></TD>
<TD rowSpan=2>i</TD></TR>
<TR></TR>
<TR>
<TD rowSpan=2>0[sub>-</sub></TD>
<TD rowSpan=2>[span name='maths'>\frac{U_{s}}{3}</span></TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>[span name='maths'>\frac{U_{s}}{3R}</span></TD>
<TD rowSpan=2>[span name='maths'>\frac{U_{s}}{3R}</span><BR>3R</TD>
<TD rowSpan=2>0</TD>
<TD rowSpan=2>[span name='maths'>\frac{U_{s}}{3R}</span></TD></TR>
<TR></TR>
<TR>
<TD rowSpan=3>0[sub>+</sub></TD>
<TD rowSpan=3>[span name='maths'>\frac{U_{s}}{3}</span></TD>
<TD rowSpan=3>[span name='maths'>\frac{U_{s}}{3R}</span></TD>
<TD rowSpan=3>[span name='maths'>\frac{U_{s}}{3R}</span></TD>
<TD rowSpan=3>0</TD>
<TD rowSpan=3>[span name='maths'>\frac{2U_{s}}{3R}</span></TD>
<TD rowSpan=3>[span name='maths'>\frac{2U_{s}}{3R}</span></TD></TR>
<TR></TR>
<TR></TR></TBODY></TABLE>
【答案解析】