The capacitor in the gure has a capacitance of 29 uF and is initially uncharged. The battery provides a potential difference of 140 V. After switch Sis closed, how much charge will pass through it? 1b Number n Units The plates of a spherical capacitor have radii 47.9 mm and 49.2 mm. (a) Calculate the capacitance. (b) What must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance? {D (a) Number n Units 1} (b) Number a Units \fTwo identical batteries of emf E and internal resistance r are to be connected to an external resistance R, either in parallel (see Figure (a)) or in series (see Figure (b)). NOTE: Express your answers in terms of the given variables. (a) What is the current through the external resistance in the parallel arrangement? Ip=' (b) What is the current through the external resistance in the series arrangement? Is = l. What multiple of the time constant T gives the time taken by an initially uncharged capacitor in an RC series circuit to be charged to 83.6% of its nal charge? Number n UI'IltS {b