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8 14-6 Effective values and power The effective or rms value of the function f(t) is f (tdt 2 0+>an cos nat+bn sin nax )=a0+ 2cn cos(nar-9mn TJ0/,40+ ∑ Cn cos(nat 20/ ∑ C2/2=√c+c2/2+c2/2+… If(2)=V+∑ 2v sin(nat-p i0)=10+∑√2 In sin(nat-n) n=1 V=V+2+V2+…mdl=+2+l2+§14-6 Effective values and power The effective or rms value of the function f(t) is  = T rms f t dt T F 0 2 ( ) 1 ( )   =  = = + + = + − 1 0 1 0 cos( ) 2 1 cos sin 2 1 ( ) n n n n n n f t a a nt b nt a c nt             = + −  = T n rms a c n n t n dt T F 0 2 1 0 cos( ) 2 1 1    + = + + +      =   = / 2 / 2 / 2 2 1 2 2 2 1 2 0 1 2 2 0 a c c c c n n . 2 2 2 1 2 0 2 2 2 1 2 V = V0 +V +V + and I = I + I + I +   = = + − 1 0 ( ) 2 sin( ) n n n  i t I I nt   = = + − 1 0 ( ) 2 sin( ) n n n If  t V V nt 
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