Valor medio y eficaz

Vmedio = (1/T) (∫_0^T) f[t] dt

\(Vef = \(Vrms = \@\(\(∫\_0\%T\(\((f[t])\)\^2\) dt\)\/T\)\)\)

Onda cuadrada: Vpp=20V y T=15s

Valor medio

Simplify[
      Vm = (1/T) ((∫_0^((T/2)))f1 \[DifferentialD]t + (∫_((T/2))^T) f2 \[DifferentialD]t)]

Valor eficaz o rms

Simplify[
      Vef = (Sqrt[(1/T) ((∫_0^((T/2)))(f1^2) \[DifferentialD]t + (∫_((T/2))^T) (f2^2) \[DifferentialD]t)])]

Resultados numéricos

max = 10; min = -10; {Vm, Vef}

Onda cuadrada: Vpp=20V, offset=1V y T=15s

Valor medio

Simplify[
      Vm = (1/T) ((∫_0^((T/2)))f1 \[DifferentialD]t + (∫_((T/2))^T) f2 \[DifferentialD]t)]

Valor eficaz o rms

Simplify[
      Vef = (Sqrt[(1/T) ((∫_0^((T/2)))(f1^2) \[DifferentialD]t + (∫_((T/2))^T) (f2^2) \[DifferentialD]t)])]

Resultados numéricos

max = 11; min = -9; {Vm, Vef} // N

1) Onda rectangular: Vpp=Vp=5V, T=120ms y dc=75%

2) Onda triangular: Vpp=Vp=4V y T=10s

3) Onda triangular: Vpp=4V, Vp=5V y T=10s

4) Onda diente de sierra con pendiente (+): Vpp=Vp=4V y T=10s