Current Assignment

5)
V_B - V_A = -∫E.dl
→ V_A - V_B = ∫E.dl
Since current is from A to B, V_A > V_B
→ ∫E.dl > 0

6)
Since there is a current in the path, there must be a resistor attached to the capacitor.
V_A - V_B = ∫E.dl
Potential difference across a capacitor is given by,
V = V₀(1 - e^t/Ï„)

Now we don't know whether the capacitor is in steady state, transient state or 0+ state.
Hence V can be +ve or 0.