At time t, the excitation voltage to a resolver is 24 V. The shaft angle is 90°. The output signals from the resolver V_S1 and V_S2 will be

Concept:

Resolver generates two secondary voltage for any particular position of the shaft.

V_s2 (t) = (Kv_icosθ)sinωt

V_s1 (t) = (Kv_isinθ)sinωt

The amplitude of V_s1 (t) and V_s2 (t) at particular ‘t’ are given as,

V_s1 = kv_isinθ 

V_s2 = kv_icosθ 

Calculation:

Given, k = 1, v_i = 24 V

V_s1 = 1 × 24sin(90)

∴ V_s1 =24 V

V_s2 = 1 × 24cos(0)