A physics student connects two identical parallel-plate capacitors with a capacitance of 4 μF to a battery with a voltage difference of 10 V, either in series or in parallel. The two plates are separated by a distance of 1mm. Determine i) the ratio of the energy stored (Useries/Uparallel). ii) the ratio of the maximum amount of charge stored (Qseries/Qparallel), and iii) the ratio of the electric field (Eseries/Eparallel) between the two plates.
A device composed of two identical parallel-conducting plates separated by a distance d is connected to a battery. The capacitance of this device is 430 pF. The charge on each plate is 1.45 µC when the voltage difference across the plates is V. i) Determine V. Consider the charge on each plate remaining constant. ii) What is the voltage difference across the plates if the separation distance is tripled (Vnew)? iii) Determine the work done in tripling the separation?
A battery with a potential difference of 12 V is connected to a parallel-plate capacitor without any dielectric within its plates. The capacitance of the capacitor is 12.85 μF. The plates are separated by a distance of 1.00 mm. When fully charged, what is the energy density stored between the plates in SI units?