give an expression for average value of ac voltage v=vmsinwt over time interval t=0 and t = π / w

Average value is given by :Vavg= 1T0TVmsinωtdtwhere T is the time peiord over average vlaue need to be calculated.T = πωVavg = ωπ0 πωVmsinωtdt=-* ωVmπcosωtω = Vmπ-1-1 = 2Vmπ

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when t = 0 .v = 0 since sin 0 =0
when t= pi / w, v= vm sin w pi /w
                           = vm sin pi
                         = vm
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