Current sensor, magnetic sensor and circuit

The current sensor comprises: a magnetic detecting device that is arranged in the vicinity of a conductor, to which a magnetic field to be measured induced by a current flowing through the conductor is applied, and that changes an electrical resistance in response to a change in the magnetic field to be measured; two coils that generate a canceling magnetic field to cancel the magnetic field to be measured and that are arranged in the vicinity of the magnetic detecting device; a shunt resistor, that is connected in series between the two coils, for detecting a current flowing through the coils; a first differential amplifier that amplifies the output signal of the magnetic detecting device and that supplies the current to induce the canceling magnetic field to the coils; and a second differential amplifier that amplifies the voltage across the shunt resistor and that outputs a measured voltage proportional to the current flowing through the conductor.