Find the maximum energy (E) stored in the inductor of Example 10.17 (a) and show that it is greater than the sum of

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Find the maximum energy (E) stored in the inductor of Example 10.17 (a) and show that it is greater than the sum of the maximum stored energies (E₁ and E₂) when each source is applied alone.

Data from Example 10.17

A practical coil is placed between two voltage sources v₁ = 5 cos ω₁ t and v₂ = 10 cos (ω₂t = 60°) which share the same common reference terminal (see Fig. 9-54). The coil is modeled by a 5-mH inductor in series with a 10-Ω resistor. Find the average power in the coil for

(a) ω₂ = 2ω₁ = 4000,

(b) ω₁ = ω₂ = 2000, and

(c) ω₁ = 2000 and ω₂ = 1000√2 , all in rad/s.

Data from figure 9-54