The correct answer is option 1, an ideal resistor.

A resistor is a passive circuit element that opposes the flow of electric current. In an ideal resistor, the voltage applied across it is directly proportional to the current flowing through it, according to Ohm`s Law. This means that the impressed voltage and the resulting current are both in phase with each other.

Option 2, an ideal capacitor, is not the correct answer. A capacitor is a passive component that stores electrical energy in an electric field. The current in a capacitor leads the voltage by 90 degrees, so the impressed voltage and the resulting current are not in phase.

Option 3, an ideal coil, is also not the correct answer. A coil, or an inductor, stores energy in a magnetic field. The current in an inductor lags the voltage by 90 degrees, so the impressed voltage and the resulting current are not in phase.

Option 4, an ideal transformer, is not the correct answer either. A transformer is a device used to transfer electrical energy between two or more circuits through electromagnetic induction. The voltage and current in a transformer can be out of phase, depending on the load connected to the secondary winding.

Therefore, the correct answer is option 1, an ideal resistor