(1) Shown below is a circuit with two identical lightbulbs. The? box on the left side will be replaced with different circuit components in the below parts of this problem. The resistance of each lightbulb is R = 257k92 and the batteries have voltage V, = 9.13V and V2 = 2.97V (a) Find the current in each of the lightbulbs when the switch is open. (b) Consider the case when the ? box is an uncharged capacitor with capacitance C = 451uF. Find the current through each of the light bulbs the instant the switch is closed. (c) Consider the case when the? box is a capacitor with capacitance C = 451uF. Find the current through each of the light bulbs once the switch has been closed for a long time. (d) Consider the case when the? box is a capacitor with capacitance C= 451pF. Find the energy stored in the capacitor once the switch has been closed for a long time. (e) Consider the case when the ? box is a battery (with voltage V.). We will compare the brightness of each lightbulb when the switch is open versus when the switch is closed under each of the following conditions: (i) The battery (V; = 4.88V) is oriented with its positive terminal facing up. (in) The battery (V?= 4.88V) is oriented with its positive terminal facing down. (in) The battery (V?=8.37V) is oriented with its positive terminal facing up.