实验报告
学生:姜涵育     学号: U202480034      院系:纳米材料与技术(双培)    批阅时间: 2026-4-14 17:02

批阅完成
最后得分:4.375

实验目的和仪器

0.4分

实验原理

1.5分

实验步骤

1分

数据处理

1.实验的已知数据

(1)油的密度:ρ=(1){kg/{m}^{3}}

(2)空气的密度:σ=(2){kg/{m}^{3}}

(3)空气粘滞系数:η=(3)\times {10}^{-5}{kg/\left ( {m\cdot s} \right )}

(4)北京地区重力加速度:g=(4){m/{s}^{2}}

(5)修正常数:b=(5)\times {10}^{-3}Pa\cdot m

(6)大气压强:p=(6)\times {10}^{5}Pa

(7)油滴匀速下降距离:l=(7)mm

(8)平行极板间距离:d=(8)mm

datafill 981 1.207 1.83 9.801 8.23 1.013 1.6 5.00 Y2ohqskM1TRFV4OR8NTt8qU73ryHG7zYHxYRmaNogtCVdnqCNgNHZw3mJ+xm+8/enXINkuSt9TxvUi5K8XrD6A== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ==

2. 电子电荷的测定

(1)第一个油滴测量数据

原始数据表格:

测量次数 1 2 3 4 5
平衡电压V/V          
自由落体下落时间tg/s          
table 235 235 235 235 235 18.01 18.08 17.85 17.91 17.74 HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ==
0.05分

平衡电压的平均值:=(1)V

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0.05分

自由落体下落时间:=(1)s

datafill 17.91 TtDFN7j8gKdJw6ZT+oEdww2HBWoRYLeHf2C9fAQn+9rcHcuXumvTEnPfJsTldvMXZElV67pUJ8wgcfqKVyJWN/23lNMZrkEgmWS/w/kz35bIuRXP26vuFkBzHF5JVAeIhEJ7cgNwuANsulgGulY0siepaQVOQiVCz9J8QWnYQ+nG/SyV2Ot7T5mogHl2Qx4pX6vABGbWpQ6jWqNOgJ67y6frQGeqx1bPZOg77Nh6FYyy64uXhrOIkAxg5PPiiPCppR7gXRssTDGECjcCK+XJEw== 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 kbs8cUEArIzl90tKMNafbYHxVlWcZSPCSNHpyr79Ghet8cA3zN2g8pM9FKB7U4TQaxwCptcELlCLEqij9G39SnL+KuKO9adY8zD9IqZic8HGZd0xaAtW6TswGU5lqPr7QwLI7k6bdO4eE13xWhxhk3G6B50H48YzYcFoQNYnAUrpowUGmkKX6ZxMZI++JeEa8XD4ukkMJ6AruMTx5Dskd82aHnPrtqIc7Qz1HEsyv9TzyeHdh+64K7XmCYZ78xYbPiY1hLYZOq50t2m0CcYI9KZIH99/5T2CMXFmOFAcugpBYCM3jt2yz0cXbcYi1uJBpG0Up+56p4bEBgkGetxTCQ== Ug6i3lldBqk495UIG3GZJciiHhucHPpIqSficrYaV6wN7wS/cKWZrZFo1EPFnga9Ksa2+scrqQfki1bj/MFCcPOUXp68WrSBfjIznsmsn8ZUXf8EM2gh3DICZVH+Pe0nR4dC5loIH9zw3nG7RHNoBf6dK29KrwsHf8MHJ/rf1wLsTuM2QPGOxEUQ48Jx3Cd+nbnaq5A2Jo3p3AqYKBZVohWcKIYSKbPW5avkPM6+kAPOMB78vLffyzJlx88DIwnMRbzsgIi7JRdCQlzAzfkNGhJMB6F6qRecZkmyzav4C1UpYuorkB22uU96MVw8a/ZJ
0.05分

第一个油滴的半径:r=(1)μm

datafill 0.858 0VSxu/x0j9Yu+uXuJcLRps+I5VOkqgftHPDxm0zW0h/19mu+Whx2g2zs557T3L3T7334LEvV6LyVScHX+5YMTu3y7A9uJudL9gWe4GZZ2sfJjoSuhsfZ7ybDGddpX6pCpYq2Py/yisPC4/KP1qMEtBIncLa6xcgFJB35HVVppTDWK/tF8kPzS2Dd0m2BnejyoR5ukV4mEfKvBoHMn1karkxDbL7rc87PgQuXezH48ppXV8mnEEGMyaw942XlYQKFc46odnrE7NC1dy/1XvttiL5fxnxaR6LXWc0ps0vQVdOtlXL0/DphB/xYgPpfbEKu nSvZoqxgHipT88kt4fm8aXHaAY3XBjwA/8z6UE4NG4iManPiGBjJr2kJZMDLCGsCXZM7Y1GqcXx4jJVW+Sxmw1qJ5uf0j3RPPemIfBDLOnmzsLPk0pHhIlI6Byc9rNoUXgVwWNeO1iol6geVTW+DBfq4763n0JJTuGEjeV0XyX4LwLTiEp4iQIC1HATyTlvPN+UyRj0G1wYvw5JKQNH+JywDtmf1bgx9ULDaZtNpEs0vR3XM6VGw7Js5XUu321dTWj06qUpfVeiVSaf595tuAjw2t3QoNge/PHD8YkdfP1F3og4LPry4VykRsV4UbKfrSA8HyHWirt63WP3wTAhHea/ZDzGm9yKhRMui4VvEgW0C8GKCXeEwoBGGzAlN66F6BcVeYD6Ov+0M7Hu6BuWrWoVHc38SRSs7htWUEz8uWoVm4cZ77xT/Xc+ZwrB/rbY3ebdyT2FGMKalYzeVW4MnyE3VCp6G0ejlFzIcgsLn4YlWoC7pQKEpn1y58bQ4IGBp53hFEKyV3pi4M7U0L9ymxornCKqHGuv6gWJDLSIWxIh/YoxgOFtDMefCZ+U5epsDXGGIU5JYaAz5xNXDW9s2ILIl7yQoJXbMYWKpelHW/ZcmDaP1wbz2JDlyU/KeJVQPP5KD6FnlusHHv6Mpa8b0k1zhhqnZe7ROBSJX8UjV1pWYW4Pwgh1A1tK8i5PXaUdb0rNnEMBAAFl0Dlt1LRGUKotS44loznhyK4At2ZhHtw/cnFW0sc/ym9dcfOVxZOUBkcJQ3sg19iBm6O0o9n+KDheudK/WBi1IX2TJys6dmZk= kbs8cUEArIzl90tKMNafbYHxVlWcZSPCSNHpyr79Ghet8cA3zN2g8pM9FKB7U4TQaxwCptcELlCLEqij9G39SnL+KuKO9adY8zD9IqZic8HGZd0xaAtW6TswGU5lqPr7QwLI7k6bdO4eE13xWhxhk3G6B50H48YzYcFoQNYnAUrpowUGmkKX6ZxMZI++JeEal1aDxo+JB5/fyPdfnERPSBtoK314Hkrp/o1kxBhMfY4E/71ntn1wjGbAgy2rjw8x8XBxZxcSXC6iSoD4bVkr7it85OtrBjyB8PbuOHZ2QdQo/8u5MsEyYwE1jSQf1yVG2ScjJLvQQeGJIymFjGjAE0NOYVckQUGxJwJpGwxC5hk= Ug6i3lldBqk495UIG3GZJciiHhucHPpIqSficrYaV6wN7wS/cKWZrZFo1EPFnga9Ksa2+scrqQfki1bj/MFCcPOUXp68WrSBfjIznsmsn8ZUXf8EM2gh3DICZVH+Pe0nR4dC5loIH9zw3nG7RHNoBf6dK29KrwsHf8MHJ/rf1wLsTuM2QPGOxEUQ48Jx3Cd+nbnaq5A2Jo3p3AqYKBZVohKe67gtErX3XhZRVv/Qru0LxQ7aAJrdYFGNIelz1nBK
0.05分

第一个油滴的电荷量:{q}_{1}=(1)\times {10}^{-19}C

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0.05分

第一个油滴的元电荷数:{n}_{1}=(1)

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(2)第二个油滴测量数据

原始数据表格:

测量次数 1 2 3 4 5
平衡电压V/V          
自由落体下落时间tg/s          
table 204 204 204 204 204 38.00 40.24 49.31 40.84 39.54 HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ==
0.05分

平衡电压的平均值:=(1)V

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0.05分

自由落体下落时间:=(1)s

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0.05分

第二个油滴的半径:r=(1)μm

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0.05分

第二个油滴的电荷量:{q}_{2}=(1)\times {10}^{-19}C

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0.05分

第二个油滴的元电荷数:{n}_{2}=(1)

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(3)第三个油滴测量数据

原始数据表格:

测量次数 1 2 3 4 5
平衡电压V/V          
自由落体下落时间tg/s          
table 255 255 255 255 255 9.60 9.85 9.56 9.60 9.57 HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ==
0.05分

平衡电压的平均值:=(1)V

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0.05分

自由落体下落时间:=(1)s

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0.05分

第三个油滴的半径:r=(1)μm

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0.05分

第三个油滴的电荷量:{q}_{3}=(1)\times {10}^{-19}C

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0.05分

第三个油滴的元电荷数:{n}_{3}=(1)

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(4)第四个油滴测量数据

原始数据表格:

测量次数 1 2 3 4 5
平衡电压V/V          
自由落体下落时间tg/s          
table 280 280 280 280 280 22.11 21.85 22.30 22.01 22.48 HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ==
0.05分

平衡电压的平均值:=(1)V

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0.05分

自由落体下落时间:=(1)s

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0.05分

第四个油滴的半径:r=(1)μm

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0.05分

第四个油滴的电荷量:{q}_{4}=(1)\times {10}^{-19}C

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0.05分

第四个油滴的元电荷数:{n}_{4}=(1)

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(5)第五个油滴测量数据

原始数据表格:

测量次数 1 2 3 4 5
平衡电压V/V          
自由落体下落时间tg/s          
table 325 325 325 325 325 13.10 13.51 14.64 14.45 14.27 HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ==
0.05分

平衡电压的平均值:=(1)V

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0.05分

自由落体下落时间:=(1)s

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0.05分

第五个油滴的半径:r=(1)μm

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0.05分

第五个油滴的电荷量:{q}_{5}=(1)\times {10}^{-19}C

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0.05分

第五个油滴的元电荷数:{n}_{5}=(1)

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3.元电荷拟合

油滴 1 2 3 4 5
油滴电荷qi(×10-19C)          
元电荷数ni          
table 3.20 4.81 6.41 8.01 9.61 2 3 4 5 6 HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ== HLLIPGEigCS9uQcpleVWHQ==
0.1分

绘制元电荷e值拟合直线图

0.05分

直线斜率:b=(1)\times {10}^{-19}C

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0.05分

本实验计算得到的元电荷:e=(1)\times {10}^{-19}C

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0.05分

元电荷实验测量值与公认值比的百分差:|E|=(1)%

datafill 0 0VSxu/x0j9Yu+uXuJcLRps+I5VOkqgftHPDxm0zW0h/jgFGhI8oJME4fYOpKndk+RIzIWMIAOMnlTUCSNZZrpZcEG9KH0BA4RMTjIZSffcef631GGlMn2T8I/4wOfkwcIIFf5Qz2Z7lXYnQdxFCI1+RMODH1OrNojhald/lNf/Esf0va0kEktU/iwqaaxgjfnwtyrU6h4k4Pd9auhflSyg== 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 kbs8cUEArIzl90tKMNafbYHxVlWcZSPCSNHpyr79Ghet8cA3zN2g8pM9FKB7U4TQaxwCptcELlCLEqij9G39SnL+KuKO9adY8zD9IqZic8HGZd0xaAtW6TswGU5lqPr7QwLI7k6bdO4eE13xWhxhk3G6B50H48YzYcFoQNYnAUrpowUGmkKX6ZxMZI++JeEa8XD4ukkMJ6AruMTx5Dskd82aHnPrtqIc7Qz1HEsyv9SGNY73Fy8eaUfEARPPWUTd7ZcaC/Jj0c9zEDw0CiWM/oGytX6ia897fHU4QkJODf93RY2cJSYTdyGBaz0TiIE/3fjkY7baRqZFfDds/JLcPUwj6G05kp+lK9NH3IEntBqErAnh13au4KHdxzGgO9qJ Ug6i3lldBqk495UIG3GZJciiHhucHPpIqSficrYaV6wN7wS/cKWZrZFo1EPFnga9Ksa2+scrqQfki1bj/MFCcPOUXp68WrSBfjIznsmsn8ZUXf8EM2gh3DICZVH+Pe0nR4dC5loIH9zw3nG7RHNoBf6dK29KrwsHf8MHJ/rf1wLsTuM2QPGOxEUQ48Jx3Cd+nbnaq5A2Jo3p3AqYKBZVohKe67gtErX3XhZRVv/Qru0LxQ7aAJrdYFGNIelz1nBK

分析讨论与结论

0.2分

分析讨论

0.1分

结论

原始数据

数据处理过程

0.3分