In a parallel circuit, the potentials at points E, F, A, and B are equal due to the absence of resistance, leading to the conclusion that voltage across each resistor is the same. Despite differences in potential energy losses across resistors R1 and R2, the voltage drop remains consistent, as indicated by the equal potentials at points C and G. The currents I1 and I2 adjust to maintain equal voltage drops across the resistors. While potential energy lost differs between resistors, the potential energy lost per charge remains constant, confirming that the potentials at points C and G are equal. Therefore, the voltage in a parallel circuit is uniform across all branches.