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I. Two electric loads are connected in parallel to a source of value u(t) = 300 cos(380t) V. The first load absorbs 3 kW at a power factor of 0.5 lagging. The second load absorbs 4kW at a power factor of 0.8 leading. (a) Find the current I through the first load. (b) Find the total current I c) Find the total apparent power (d) Find the total average power e) Find the overall power factor of the two loads (f) Find the total instantaneous power delivered by the source at time t 1s. (g) Find the total impedance of the two loads. Write the result in polar form i(t) ii(t) i2(t) Load 1 Load 2 Sample answers: (a) 11402-60° A () S-7.336 kVA (e) 0.954 lagging (f) p 13.18 kW

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UT 13.931-9.81

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