A parallel-plate capacitor is formed from two 7.20 cm× 7.20 cm electrodes spaced 1.90 mm apart. The electric field strength inside the capacitor at the center is 3.00 ×10^6N/CWhat is the charge (in nC) on each electrode?

Respuesta :

To solve this problem we will apply the concept related to the electric field as a function of the charge, the area and the permittivity constant of free space. This is mathematically defined as

[tex]E= \frac{Q}{A\epsilon_0}[/tex]

Here,

Q= Charge

A = Area

[tex]\epsilon_0[/tex] = Permittivity of free space

Rearranging to find the charge,

[tex]Q = A\epsilon_0 E[/tex]

Replacing,

[tex]Q = (7.2*10^{-2})^2 (8.85*10^{-12})(3*10^6)[/tex]

[tex]Q = 1.37635*10^{-7}C[/tex]

Therefore the charge is [tex]1.37*10^{-7}C[/tex]