How Many Electrons Pass Through a Capacitor When Discharged?

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A capacitor with a capacitance of 20μF and a voltage of 24V is analyzed to determine the number of electrons that pass through it when discharged. The charge (Q) is calculated as Q = C × V, resulting in 480μC. The current (I) is derived from the charge and the discharge time of 0.2 seconds, yielding a current of 24mA. The number of electrons (x) is calculated using the charge and the elementary charge (1.6 × 10^-19 C), resulting in approximately 3 × 10^15 electrons. The discussion emphasizes understanding unit conversions and the significance of micro (μ) as a factor of 10^-6.
  • #31
Load is capacity times voltage. Capacity is given as ##20\,\mu F## which is (see previous post) equal to ##20\cdot 10^{-6}\cdot A\cdot s \cdot V^{-1}\,.## Voltage is given as ##24\,V## so the Volt cancel in the product and we are left with ##Q=20\cdot \mu \cdot F \cdot 24 \cdot V = 480\cdot \mu \cdot F\cdot V= 480 \cdot \mu \cdot A \cdot s \cdot V^{-1} \cdot V = 480\cdot 10^{-6} \cdot A \cdot s##
 
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  • #32
I finally managed to understand where i went wrong.
This is what i came up with. (I initially thought of taking 300x1013 altogether and take the 0 zeroes from the 300 and put them on the 13 which would give me 3x1015 but i thought it was wrong. However it realized that both methods work, but i used yours anyway.
Thanks a lot for your help!
 

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