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  • If we apply an AC voltage, the frequency of the voltage affects the amount of current that will flow.

    如果我們施加交流電壓,則電壓的頻率會影響將流動的電流量。

  • Inductors, capacitors, and resistors all react differently to AC voltage.

    電感、電容和電阻對交流電壓的反應都不同。

  • But, in all three cases, the frequency of the AC current will be exactly equal to the frequency of the voltage.

    但是,在所有三種情況下,交流電流的頻率將完全等於電壓的頻率。

  • Let us call the voltage at this point the "Input Voltage".

    讓我們將此時的電壓稱為「輸入電壓」。

  • This is the voltage that we control.

    這是我們控制的電壓。

  • In the case of an ideal resistor,

    在理想電阻的情況下,

  • the current that flows is always proportional to the difference in the voltage values at the two sides of the resistor.

    流過的電流總是與電阻兩側電壓值的差值成正比。

  • This means that if the only components in our circuits are ideal resistors,

    這意味著如果我們電路中的唯一元件是理想電阻,

  • then the amplitude of the current that flows is independent of the voltage's frequency.

    那麼流過的電流幅度與電壓頻率無關。

  • Now, suppose we replace the resistor on the right with a capacitor.

    現在,假設我們用電容替換右側的電阻。

  • Once the capacitor is charged, both sides of the resistor will have the same voltage, and no current will flow.

    一旦電容充電,電阻兩端的電壓相同,沒有電流會流動。

  • Current flows only if we change the value of the input voltage.

    只有當我們改變輸入電壓的值時,電流才會流動。

  • The amount of current that flows depends on the difference in the voltage values of the two sides of the resistor.

    流動的電流量取決於電阻兩側電壓值的差異。

  • If we change the value of the input voltage slowly,

    如果我們慢慢改變輸入電壓的值,

  • then the voltage values of the two sides of the resistor will tend to stay at about the same voltage.

    那麼電阻器兩側的電壓值將趨於保持在大約相同的電壓。

  • This means that only a small amount of current will flow through this circuit at low frequency.

    這意味著只有少量電流以低頻流過該電路。

  • At high frequency, a larger amount of current will flow.

    在高頻率下,將流過更大量的電流。

  • This is because if we vary the input voltage quickly as shown,

    這是因為如果我們如圖所示快速改變輸入電壓,

  • the capacitor never has enough time to charge, and the voltage across it always stays close to zero.

    電容沒有足夠的時間充電,並且它兩端的電壓始終保持接近零。

  • Having a voltage across the capacitor that is always close to zero

    若電容器兩端的電壓始終接近零,

  • allows a larger voltage difference between the two ends of the resistor, allowing more current to flow.

    電阻兩端之間的電壓差較大,從而允許更多電流流動。

  • Since the voltage across the capacitor does not have the ability to change instantaneously,

    由於電容兩端的電壓無法瞬間改變,

  • the voltage across the capacitor changes after the current changes.

    電流變化後,電容兩端的電壓會發生變化。

  • Let's turn off the input voltage.

    我們關閉輸入電壓。

  • Now let's replace the capacitor with an inductor.

    現在讓我們用電感替換電容。

  • An inductor exerts a force preventing the current flowing through it from changing instantaneously.

    電感器施加力防止流過它的電流瞬間改變。

  • If the input voltage is constant, then the inductor will not exert any forces, and it will therefore not impede the flow of current.

    如果輸入電壓恆定,則電感器不會施加任何力,因此它不會阻礙電流的流動。

  • If the input voltage changes, the inductor will initially try to keep the current through it at the same value as before.

    如果輸入電壓發生變化,電感首先嘗試將電流保持在與之前相同的值。

  • After we change the voltage, we need to wait for the current to change.

    在我們改變電壓後,我們需要等待電流改變。

  • After the current changes, the inductor then wants to keep the current at this new value.

    在電流變化之後,電感器希望將電流保持在這個新值。

  • If we change the input voltage very rapidly as shown, the current will not have enough time to change.

    如果我們如圖所示非常快速地改變輸入電壓,則電流將沒有足夠的時間來改變。

  • This means that only a small amount of current will flow through the inductor at high frequency.

    這意味著只有少量電流將以高頻流過電感。

  • At low frequency, more current will flow.

    在低頻率下,會有更多電流流過。

  • In this sense, an inductor has the opposite behavior of a capacitor.

    從這個意義上講,電感具有與電容相反的特性。

  • Also, whereas the voltage across a capacitor can't change instantaneously,

    而且,電容兩端的電壓不能瞬間改變,

  • for an inductor it is the current that can't change instantaneously.

    對於電感來說,電流是瞬間無法改變的。

  • This means that for an inductor, the current changes after the voltage changes.

    這意味著對於電感,電流在電壓變化後會發生變化。

  • The frequency of the input voltage is only one of the factors that determines how much the inductor will impede the flow of current.

    輸入電壓的頻率只是決定電感阻礙電流流動的因素之一。

  • Another factor is the amount of inductance the inductor has.

    另一個因素是電感的電感量。

  • If the inductor has a higher inductance, then a smaller amount of AC current will flow through it.

    如果電感具有更高的電感量,那麼少量的交流電流就會流過它。

  • This is because with a higher inductance,

    這是因為電感量更高,

  • the inductor will exert a greater force trying to keep the current flowing through it constant.

    電感會發揮更大的作用力,試圖保持流過它的電流不變。

  • In this example, even though we have a low frequency,

    在這個例子中,即使我們的頻率很低,

  • we still have a small amount of AC current flowing due to the fact that the value of the inductance is high.

    由於電感值很高,我們仍然會有少量的交流電流流過。

  • Increasing the capacitance of a capacitor has the opposite effect of increasing the inductance of an inductor.

    增加電容的電容量具有增加電感的電感量的相反效果。

  • If a capacitor has a higher capacitance, then a larger amount of AC current will flow through it.

    如果電容具有更高的電容量,則會有更大量的交流電流流過它。

  • This is due to the fact that with a higher capacitance, the capacitor charges and discharges more slowly.

    這是因為電容量更高,電容的充電和放電速度更慢。

  • Therefore, in this case, the voltage across the capacitor stays close to zero,

    因此,在這種情況下,電容兩端的電壓保持接近零,

  • thereby allowing a larger difference in voltage to develop at the two ends of the resistor,

    從而允許在電阻兩端產生更大的電壓差,

  • thereby allowing more current to flow.

    從而允許更多的電流流動。

If we apply an AC voltage, the frequency of the voltage affects the amount of current that will flow.

如果我們施加交流電壓,則電壓的頻率會影響將流動的電流量。

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