Your favorite team has made the playoffs, and you decide that you should host a party. Before kickoff, you turn on your wide-scr
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Answer:
Explanation:
By the information of the statement you have that the sinusoidal potential difference is given by:
(1)
In order to calculate the induced magnetic field in between the plates, you first take into account the following formula, which is the Ampere-Maxwell law:
(2)
B: induced magnetic field
μo: magnetic permeability of vacuum = 4π*10^-7 A/T
εo: dielectric permittivity of vacuum = 8.85*10^-12 C^2/Nm^2
Ic: conduction current
ФE: electric flux
There is no conduction current in between the plates, then Ic = 0A
Next, you calculate dФE/dt, as follow:
The electric field, and the electric flux, are:
d: separation between plates = 5.0mm = 5.0*10^-3 m
A: area of the circular plates =
Ro: radius of the circular capacitor = 3.0cm = 0.03m
Thus, dФE/dt is:
(3)
The induced magnetic field is calculated by taking into account that the integral of the equation (2) is:
(4)
Next, you replace the results of (3) and (4) into the equation (2) and you solve for B:
(5)
The last expression is de induced magnetic field in between the plates in terms of t and r
Another way of expressing the formula (5) is as follow: