(2012?杨浦区一模)小华做“电流表、电压表测电阻”实验,现有电源(电压为1.5伏的整数倍且保持不变)、 某同学做“用电压表、电流表测电阻”实验,他所用电源的电压为1...

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\u2460\u7531\u9898\u610f\u77e5\uff0c\u7535\u6d41\u8868\u7684\u793a\u6570\u53d8\u5927\uff0c\u5219\u7535\u538b\u8868\u7684\u793a\u6570\u51cf\u5c0f\uff0c\u5219\u7535\u538b\u8868\u672a\u4e0e\u5c0f\u706f\u6ce1\u5e76\u8054\uff0c\u800c\u4e0e\u6ed1\u52a8\u53d8\u963b\u5668\u5e76\u8054\uff0c\u6240\u4ee5\u5c0f\u534e\u5bf9\u7535\u8def\u6240\u505a\u7684\u8c03\u6574\u662f\u5c06\u7535\u538b\u8868\u6539\u63a5\u5728\u5c0f\u706f\u6ce1\u4e24\u7aef\uff1b\uff082\uff09\u8bbe\u7535\u6e90\u7535\u538b\u4e3aU\uff0c\u7531\u9898\u610f\u77e5\uff0c\u5f53\u5c0f\u706f\u6ce1\u6b63\u5e38\u53d1\u5149\u65f6\uff0c\u6ed1\u52a8\u53d8\u963b\u5668\u4e24\u7aef\u7684\u7535\u538b\u4e3a2.2V\uff0c\u5219\u706f\u6ce1\u7684\u989d\u5b9a\u7535\u538b\u4e3aU-2.2V\uff0c\u6b64\u65f6\u7535\u8def\u7535\u6d41\u5e94\u7b49\u4e8e\u5c0f\u706f\u6ce1\u7684\u989d\u5b9a\u7535\u6d410.2A\uff0c\u5219\u706f\u6ce1\u7684\u989d\u5b9a\u529f\u7387\u4e3aP\u989d=U\u989dI\u989d=\uff08U-2.2V\uff09\u00d70.2A\uff1b\u53c8\u56e0\u4e3a\u5c0f\u706f\u6ce1\u7684\u989d\u5b9a\u529f\u7387\u57280.5\u74e6\uff5e0.8\u74e6\u4e4b\u95f4\uff0c\u52190.5W\u2264\uff08U-2.2V\uff09\u00d70.2A\u22640.8W\u52194.7V\u2264U\u22646.2V\u7535\u6e90\u7535\u538b\u662f1.5\u4f0f\u7684\u6574\u6570\u500d\uff0c\u6240\u4ee5\u7535\u6e90\u7535\u538b\u4e3a6V\uff0e\u5219U\u989d=6V-2.2V=3.8V\u6ed1\u52a8\u53d8\u963b\u5668\u6b64\u65f6\u7684\u963b\u503c\u4e3aR\u6ed1=U\u6ed1I=2.2V0.2A=11\u03a9\u53c8\u56e0\u4e3a\u6ed1\u7247\u5927\u7ea6\u5728\u53d8\u963b\u5668\u7684\u4e2d\u70b9\uff0c\u6240\u4ee511\u03a9\u5927\u7ea6\u7b49\u4e8e\u6ed1\u52a8\u53d8\u963b\u5668\u6700\u5927\u963b\u503c\u7684\u4e00\u534a\uff0c\u5219\u6839\u636e\u6240\u63d0\u4f9b\u6ed1\u52a8\u53d8\u963b\u5668\u7684\u89c4\u683c\u77e5\uff0c\u6ed1\u52a8\u53d8\u963b\u5668\u7684\u6700\u5927\u963b\u503c\u4e3a20\u03a9\uff1bP\u989d=U\u989dI\u989d=3.8V\u00d70.2A=0.76W\u6545\u7b54\u6848\u4e3a\uff1a\u2460\u5c06\u7535\u538b\u8868\u6539\u63a5\u5728\u5c0f\u706f\u6ce1\u4e24\u7aef\uff1b\u246120\uff1b6\uff1b3.8\uff1b0.76\uff0e

\uff081\uff09\u7535\u8def\u4e2d\u7684\u6700\u5927\u7535\u6d41\u4e3a0.28A\u53ef\u77e5\uff1a\u7535\u6d41\u8868\u7684\u91cf\u7a0b\u4e3a0\uff5e0.6A\uff0c\u5f53\u6ed1\u52a8\u53d8\u963b\u5668\u63a5\u5165\u7535\u8def\u7684\u7535\u963b\u4e3a\u96f6\u65f6\uff0c\u7535\u6d41\u4e3a0.28A\uff0c\u7535\u963bRX\u7684\u963b\u503c\u572810\u03a9\u5de6\u53f3\uff0c\u7535\u6e90\u7535\u538b\u4e3a\uff1aU=I1RX=0.28A\u00d710\u03a9=2.8V\uff0c\u2235\u7535\u6e90\u7535\u538b\u4e3a1.5V\u7684\u6574\u6570\u500d\uff0c\u53ef\u89c1\u7535\u6e90\u7535\u538b\u4e3a3V\uff0e\u2234\u6b64\u65f6\u7535\u538b\u8868\u793a\u6570\u5e94\u4e3a3V\uff0e\u7531\u6b64\u53ef\u77e5\u5b9e\u9a8c\u4e2d\u7535\u538b\u8868\u4f7f\u7528\u7684\u91cf\u7a0b\u4e3a0\uff5e3V\uff0c\u2234\u56fe\uff08a\uff09\u3001\uff08b\uff09\u3001\uff08c\uff09\u7684\u7535\u8868\u7684\u793a\u6570\u5206\u522b\u4e3a\uff1a1V\u30010.2A\u30010.6V\uff0c\u2235\u8c03\u8282\u6ed1\u52a8\u53d8\u963b\u5668\u7684\u6ed1\u7247\u7531\u6700\u5927\u4f4d\u7f6e\u81f3\u4e2d\u70b9\u4f4d\u7f6e\u65f6\uff0c\u7535\u8def\u4e2d\u7684\u7535\u6d41\u53d8\u5927\uff0c\u706f\u6ce1\u4e24\u7aef\u7684\u7535\u538b\u53d8\u5927\uff0c\u800c\u7535\u538b\u8868\u7684\u793a\u6570\u662f\u53d8\u5c0f\u7684\uff0c\u2234\u7535\u538b\u8868\u6ca1\u6709\u4e0e\u706f\u6ce1\u5e76\u8054\uff0c\u800c\u662f\u5e76\u8054\u5728\u6ed1\u52a8\u53d8\u963b\u5668\u4e24\u7aef\uff0c\u2234\u5f53\u95ed\u5408\u7535\u952e\u540e\uff0c\u6ed1\u52a8\u53d8\u963b\u5668\u7684\u6ed1\u7247\u5728\u6700\u5927\u4f4d\u7f6e\u65f6\u706f\u6ce1\u4e24\u7aef\u7684\u7535\u538b\u4e3aU1=U-U\u6ed11=3V-1V=2V\uff1b\u7535\u8def\u4e2d\u7684\u4e3aI1=0.2A\uff1b\u6ed1\u52a8\u53d8\u963b\u5668\u6700\u5927\u963b\u503c\u4e3aR\u6ed1=U\u6ed11I1=1V0.2A=5\u03a9\uff1b\u5f53\u6ed1\u52a8\u53d8\u963b\u5668\u7684\u6ed1\u7247\u5728\u4e2d\u70b9\u4f4d\u7f6e\u65f6\u706f\u6ce1\u4e24\u7aef\u7684\u7535\u538b\u4e3aU2=U-U\u6ed12=3V-0.6V=2.4V\uff1b\u7535\u6d41\u4e2d\u7684\u7535\u6d41\u4e3aI2=U\u6ed1212R\u6ed1=0.6V12\u00d75\u03a9=0.24A\uff0c\uff082\uff09\u2235Rx1=U1I1=2V0.2A=10\u03a9\uff0cRx2=U2I2=2.4V0.25A=9.6\u03a9\uff0cRx2=U3I3=3V0.28A\u224810.7\u03a9\uff0c\u2234Rx=Rx1+Rx2+Rx33=10\u03a9+9.6\u03a9+10.7\u03a93=10.1\u03a9\uff0e\u6545\u7b54\u6848\u4e3a\uff1a\uff081\uff09\u5b9e\u9a8c\u5e8f\u53f7Rx\u4e24\u7aef\u7535\u538b\uff08\u4f0f\uff09\u901a\u8fc7Rx\u7684\u7535\u6d41\uff08\u5b89\uff09Rx\u7684\u7535\u963b\uff08\u6b27\uff09 12 0.2 10 10.122.4 0.24 9.6 3 3 0.2810.7 \uff082\uff09Rx\u7684\u963b\u503c\u4e3a10.1\u03a9\uff0e

(1)电源电压不变,移动滑片,减小滑动变阻器接入电路的阻值,滑动变阻器两端电压变小,待测电阻两端电压变大,由欧姆定律可知,电路电流增大,由题意知,“在移动变阻器滑片的过程中,发现电流表示数的变化范围为0.12~0.26安,电压表示数相应的变化范围为2.4~0伏”因此电压表与滑动变阻器并联,测滑动变阻器两端电压;
由题意知,电路最小电流I1=0.12A,此时滑动变阻器电压最大,电压表示数最大,即UV=U=2.4V,
当滑动变阻器接入电路中的电阻为0时,电路为R的简单电路,电路中的电流I3=0.26A,
∵电源的电压不变,
∴根据串联电路的特点可得:0.12A×R+2.4V=0.26A×R,
解得:R′≈17Ω,
U′=0.26A×17Ω=4.42V,
∵电源的电压为1.5伏的整数倍,
∴电源的电压U=4.5V;
(2)当I1=0.12A,UV=U=2.4V时,
R两端的电压UR=U-U=4.5V-2.4V=2.1V,
R1=
UR
I1
=
2.1V
0.12A
=17.5Ω;
当I3=0.26A,UV=U=0时,
R3=
U
I3
=
4.5V
0.26A
≈17.3Ω;
(3)由题意知,电压表最大示数是2.4V,因此电压表量程为0~3V,分度值是0.1V,电压表示数U2=2.8V,
电路中的最大电流为0.26A,因此电流表的量程为0~0.6A,分度值为0.02A,示数为I2=0.16A,则
R2=
U2
I2
=
2.8V
0.16A
=17.5Ω;
电阻Rx平均值:
Rx=
17.5Ω+17.5Ω+17.3Ω
3
≈17.4Ω,故表格如下:

物理量
实验序号
电压Ux
(伏)
电流Ix
(安)
电阻Rx
(欧)
电阻Rx平均值
(欧)
1 2.1 0.12 17.5 17.4
2 2.8 0.16 17.5
3 4.5 0.26 17.3


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