题目内容
将定值电阻R1和R2串联后接在电压不变的电源上,R1消耗的功率为5W,R2消耗的功率为10W,若将它们并联后接在该电源上,它们消耗的总功率为______W.
当两电阻串联时,电路中各处的电流相等,
=
=
=
=
,即R2=2R1,
电路消耗的总功率:
P串=
=
=
=5W+10W=15W,
整理得:
=45W,
两电阻并联时,并联的总电阻:
R并=
=
=
,
电路消耗的总功率:
P并=
=
=
×
=
×45W=67.5W.
故答案为:67.5.
| P1 |
| P2 |
| I2R1 |
| I2R2 |
| R1 |
| R2 |
| 5W |
| 10W |
| 1 |
| 2 |
电路消耗的总功率:
P串=
| U2 |
| R1+R2 |
| U2 |
| R1+2R1 |
| U2 |
| 3R1 |
整理得:
| U2 |
| R1 |
两电阻并联时,并联的总电阻:
R并=
| R1R2 |
| R1+R2 |
| R1×2R1 |
| R1+2R1 |
| 2R1 |
| 3 |
电路消耗的总功率:
P并=
| U2 |
| R并 |
| U2 | ||
|
| 3 |
| 2 |
| U2 |
| R1 |
| 3 |
| 2 |
故答案为:67.5.
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