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(1) from the topic, w power =45.5× 104kW? h = 1.638× 10 12J,

∫W power =Q emissions =m coal q,

∴m coal =Q put q =1.638×1012J3.0×107j/kg = 54600kg = 54.6t;

(2) filament resistance:

r = U2P =(220v)2 100 w = 484ω,

∫W = UIt = U2Rt,

∴ Actual voltage across the lamp:

u = WRt = 4× 104j×484ω484s = 200v;

(3) The maximum power of electrical appliances used by Xiao Gang's family.

P=UI=220V×20A=4400W。

Answer: (1) The grid-connected power generation of 455,000 kWh per day is equivalent to the energy released by completely burning 54.6t coal;

(2) The actual voltage across Xiaogang's household appliances is 200 V;

(3) The maximum electric power of the electrical appliances used by Xiaogang's family shall not exceed 4400 W. 。