家用电灭蚊器的发热部分使用了PTC发热材料,它的电阻R(kΩ)随温度t(℃)(在一定范围内)变化的大致图 (2011?白云区一模)家用电灭蚊器的发热部分使用了PTC发...
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(1)∵温度在由室温10℃上升到30℃的过程中,电阻与温度成反比例关系,∴可设R和t之间的关系式为R=
k |
t |
将(10,6)代入上式中得:6=
k |
10 |
k=60.
故当10≤t≤30时,R=
60 |
t |
(2)将t=30℃代入上式中得:R=
60 |
30 |
∴温度在30℃时,电阻R=2(kΩ).
∵在温度达到30℃时,电阻下降到最小值;随后电阻随温度升高而增加,温度每上升1℃,电阻增加
4 |
15 |
∴当t≥30时,
R=2+
4 |
15 |
4 |
15 |
(3)把R=6(kΩ),代入R=
4 |
15 |
所以,温度在10℃~45℃时,电阻不超过6kΩ.
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