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.

To know more about

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distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000