A capacitor with parallel circular plates of radius $\backslash ($ R$=2\mathrm{.}90\backslash$mathrm$\{$~cm$\}\backslash )$ is discharging via a current of $29\mathrm{.}0$ A $.$ Consider a loop of radius $\backslash ($ R $/3\backslash )$ that is centered on the central axis between the plates. $($a$)$ How much displacement current is encircled by the loop? The maximum induced magnetic field has a magnitude of $18\mathrm{.}0$ mT $.$ At what radius $($b$)$ inside and $($c$)$ outside the capacitor gap is the magnitude of the induced magnetic field $3\mathrm{.}70$ mT $?$

$($a$)$ Number

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$($b$)$ Number

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$($c$)$ Number

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