A downhole drilling system may include a pulse-generating circuit; a drill bit including a first and second electrode electrically coupled to the pulse generating circuit to receive an electrical pulse from the pulse-generating circuit and to form an electrical arc between the first and second electrodes during a pulsed drilling operation in a first wellbore; a sensor to record responses to a magnetic field generated by a current in a second wellbore, the current generated by the electrical arc; and a sensor analysis system communicatively coupled to the sensor, the sensor analysis system configured to obtain a measurement from the sensor, the measurement representing the recorded response to the magnetic field and determine a distance between the drill bit and the second wellbore based on the measurement.