Capacitor plates have area 5.00 cm^2 and separation 2.00 mm. the plates are in a vacuum. the charging current i_c has a constant value of 1.80 ma. at t = 0 the charge on the plates is zero. (a) calculate the charge on the plates, the electric field between the plates, and the potential difference between the plates when t = 0.500 ms. (b) calculate de/dt, the time rate of change of the electric field between the plates. does de/dt vary in time? (c) calculate the displacement current density jd between the plates, and from this the total displacement current i_c. how do i_c and i_d compare?

a) Q = C; E = V/m; V = 406.8 V

b) dE/dt = V/(m.s); No

c) = 3.6 ; Equal

Explanation:

Given parameters are:

Area, A = 5 cm^2

Separation, d = 2 mm

Changing current, = 1.8 mA

At time t = 0 the charge = 0

a) Here, we are asked to find charge, Q, electric field, E, and potential difference, V at time t = 0.5

C

V

b)

⇒ V/(m.s)

No, it is constant that does not vary in time because is constant.

c) the displacement current density,

⇒

A

So, and are equal.

The charge on the plates

The time rate of change of the electric field between the plates

The displacement current density jD between the platesEquals

Explanation:

Given parameters are:

Area,

Separation,

Changing current,

At time the charge

a) Here, we are asked to find charge, , electric field, and potential difference, at time

b)

No, it is constant that does not vary in time because is constant.

c) the displacement current density,

So, and are equal.

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