24.12
ヴァン デ グラフ起電機 (またはヴァン デ グラーフ) は、静電気による高電圧を実証するために使用される装置で、研究にも使用できます。 ロバート ヴァン デ グラーフは、核物理研究で使用するために 1931 年に (ケルビン卿の独自の提案に基づいて) 最初にそれを構築しました。
Van de Gr…
van de Graaf発電機は、静電気を使用して高電圧を生成するために使用されます。これは、絶縁材料上に配置された半径Rの金属製の中空球、モーターの助けを借りて回転するベルト、および2つの金属製の櫛で構成されています。
底部の金属製の櫛は10キロボルトの電圧供給に接続されており、櫛とベルトの間の空気をイオン化します。負の電荷は同じコームを介して接地され、正の電荷はベルト上に移動します。
ベルトの上部では、正の電荷が金属の櫛を介して球体から負の電荷を引き付け、球体に正味の過剰な正の電荷を誘発します。
このプロセスは続き、金属球は、周囲の空気の電気的破壊を引き起こすまで、より高い正電荷を獲得します。
たとえば、半径が15センチメートルで、生成される電圧が100キロボルトの場合、発電機の過剰電荷は電位式を使用して計算できます。既知の量を単純化して代入すると、1.67マイクロクーロンの過剰電荷が得られます。
View the full transcript and gain access to JoVE Core videos
Q1: What are the main components of a Van de Graaff generator?
A Van de Graaff generator consists of a metallic hollow sphere placed on an insulating material, a rotating rubber belt driven by a motor with two rollers, and two metallic combs positioned at the bottom and top. The bottom comb connects to a voltage supply, while the top comb transfers charges to the sphere. This design enables the accumulation of large static charges on the outer surface of the sphere.
Q2: How does a Van de Graaff generator build up charge on the sphere?
The bottom metallic comb ionizes air using a 10-kilovolt voltage supply, creating positive charges that move up the rotating belt. At the top, the metallic comb attracts negative charges from the sphere, inducing a net excess positive charge. This process repeats continuously, transferring more charges to the sphere and increasing its electric potential until electrical breakdown occurs.
Q3: What voltage can a Van de Graaff generator produce?
Van de Graaff generators can produce voltages well within practical limits of 15 million volts. The voltage depends on the sphere's radius and the excess charge accumulated. For example, a generator with a 15-centimeter radius sphere can produce 100 kilovolts, corresponding to an excess charge of 1.67 microcoulombs, calculated using electric potential expressions.
Q4: Why does a person's hair stand up when touching a Van de Graaff generator?
When a person touches the Van de Graaff generator carrying high voltage, the hair acquires a net positive charge. Since like charges repel each other, individual hair strands repel one another and stand up. The person remains insulated from the ground, and because the excess charge is very small, any current passing through causes no harm.
Q5: What limits the maximum voltage a Van de Graaff generator can achieve?
Practical limits arise because large electric fields polarize and eventually ionize surrounding materials, creating free charges that neutralize excess charge or allow it to escape. This electrical breakdown of air prevents the generator from accumulating charge indefinitely. The breakdown occurs when the electric field strength exceeds the air's dielectric strength.
Q6: How is a Van de Graaff generator used in modern applications?
Originally built by Robert Van de Graaff in 1931 for nuclear physics research, these generators accelerate protons to high energies, enabling nuclear reactions with other protons and nuclei. Smaller-sized generators are now used for practical learning in laboratories and science museums to demonstrate high voltage and static electricity principles to students.
Q7: How does the rotating belt transfer charge in a Van de Graaff generator?
The rubber belt, driven by a motor with two rollers, moves positive charges from the bottom metallic comb upward to the top metallic comb. The belt's motion allows continuous charge transport without direct contact between the combs. At the top, charges transfer to the metallic sphere, and the process repeats, enabling rapid accumulation of energy associated with charge distribution.