Resolver

1. A resolver that detects an angle of rotation of a rotor relative to a stator, the resolver comprising:

a sine exciting coil and a cosine exciting coil provided to the stator and configured to transmit alternating current signals that are 90 electrical degrees apart in phase;

a detecting coil provided to the rotor, the detecting coil being placed facing the sine exciting coil and the cosine exciting coil;

an exciting coil forming a closed circuit, together with the detecting coil, in the rotor; and

a sine detecting coil and a cosine detecting coil provided to the stator, placed facing the exciting coil, and configured to transmit alternating current signals that are 90 electrical degrees apart in phase, wherein

a multiplication factor of angle of the sine detecting coil, the cosine detecting coil, and the exciting coil is different from a multiplication factor of angle of the sine exciting coil, the cosine exciting coil, and the detecting coil.

2. The resolver according to claim 1 , wherein

the sine exciting coil and the cosine exciting coil are placed alternately and adjacently in a circumferential direction in a shared plane,

each of the sine exciting coil and the cosine exciting coil has a structure of being placed in such a manner that a pair of comb-shaped closed coils connected to each other does not overlap with each other in partial annular area, and

the pair of comb-shaped closed coils includes a first comb-shaped closed coil formed by routing a conductor in such a manner as to form an outline of a comb with teeth thereof extending from an arc of outer circle toward an arc of inner circle, and a second comb-shaped closed coil formed by routing a conductor in such a manner as to form an outline of a comb with teeth thereof extending from the arc of the inner circle toward the arc of the outer circle.

3. The resolver according to claim 1 , wherein

each of the sine exciting coil, the cosine exciting coil, the sine detecting coil, and the cosine detecting coil includes an outward coil for generating one of a magnetic pole pair, and a return coil for generating the other of the magnetic pole pair, and

the outward coils and the return coils are placed in the same plane in such a manner as to not overlap with each other.

4. The resolver according to claim 1 , wherein

a multiplication factor of angle of the sine detecting coil, the cosine detecting coil, and the exciting coil is nX, and

a multiplication factor of angle of the sine exciting coil, the cosine exciting coil, and the detecting coil is 1 X.

5. The resolver according to claim 1 , wherein

a multiplication factor of angle of the sine detecting coil, the cosine detecting coil, and the exciting coil is nX, and

a multiplication factor of angle of the sine exciting coil, the cosine exciting coil, and the detecting coil is (n−1)X.