Electrons in a direct current circuit, such as in a flashlight, travel much slower than the speed of light, with their speed depending on voltage and resistance. The relationship is defined by the formula I = RV, where I is current in amps, R is resistance in Ohms, and V is voltage in volts. The drift velocity of electrons is typically on the order of millimeters per second, despite their rapid random motion. While electrons can approach the Fermi velocity, their speed is not constant and varies due to statistical factors. Overall, the speed of electrons in a wire does not exceed the speed of light.