What is the maximum amount of charge that can be placed on a capacitor before dry air will electrically break down and the capacitor short-circuit? This occurs when the electric field between the plates exceeds about 3.0\times10^6 \space V/m3.0×10 6 V/m. Assume each plate of the capacitor has an area of 6.8 \space cm^26.8 cm 2 . Report your answer in units of 'nC' (nanoCoulombs).

Respuesta :

Answer:

Charge, [tex]Q=7.11\times 10^{-8}\ C[/tex]  

Explanation:

It is given that,

Electric field between the plates, [tex]E=3\times 10^6\ V/m[/tex]

Area of the capacitor, [tex]A=26.8\ cm^2=0.00268\ m^2[/tex]

Let Q is the maximum amount of charge that can be placed on a capacitor before dry air will electrically break down and the capacitor short-circuit. It is given by :

[tex]Q=E\epsilon_o A[/tex]

[tex]Q=3\times 10^6\times 8.85\times 10^{-12}\times 0.00268[/tex]

[tex]Q=7.11\times 10^{-8}\ C[/tex]

So, the maximum amount of charge is [tex]7.11\times 10^{-8}\ C[/tex]. Hence, this is the required solution.