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a) For the circuit shown, find the voltage of the unknown battery E. The ammeter can be considered perfect (i.e. no resistance), and it reads the current in the wire to be 0.5A in the direction shown.

b) Find the current I₁ and I₂

_{c) Suppose the capacitor C= 2x10^-12 F is hooked into the network by joining points A and A', and B and B'. After a short time the ammeter again reads 0.5A, and no current flows in the branch containing the capacitor. Find the charge on the capacitor.}