3. (25pts.) Consider the circuit shown in the gure. Assume that the capacitor C is initially uncharged and that the battery supplying an emf 5 is ideal. (a) For what value of value of R5 (in terms of the other resistances) would the capacitor stay uncharged after closing the switch? (b) Now assume that R1 = R2 = R3 = R, R4 2 2R and R5 2 3R (the capacitor does not remain uncharged). Find the current through each resistor a long time after closing the switch. (c) What is the nal charge on the capacitor