A parallel-plate capacitor has circular plates of radius (R=) (0.300 mathrm{~m}) and plate separation distance (d=0.10 mathrm{~mm}).

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A parallel-plate capacitor has circular plates of radius \(R=\) \(0.300 \mathrm{~m}\) and plate separation distance \(d=0.10 \mathrm{~mm}\). While it is charging, the potential difference across the plates is given by \(V(t)=V_{\max }\left(1-e^{-t / \tau_{0}}\right)\), where \(V_{\max }=\) \(15 \mathrm{~V}\) and \(\tau_{0}=3.0 \mathrm{~ms}\). What is the magnitude of the magnetic field between the plates at a distance \(r=0.20 \mathrm{~m}\) from the axis of the capacitor at \(t=1.30 \mathrm{~ms}\) ?

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