Show that if periods T 1 and T 2 of two periodic functions v 1 (t) and v 2 (t) have a common multiple, the sum of the two functions, v(t) v 1 (t) v 2 (t), is periodic with a period equal to the smallest common multiple of T 1 and T 2 In such a case show that V avg V 1,avg V 2,avg ...

If two integers n and n can be found such that T n ...

Show that if periods T 1 and T 2 of two periodic functions v 1 (t) and

Question:

Show that if periods T₁ and T₂ of two periodic functions v₁(t) and v₂(t) have a common multiple, the sum of the two functions, v(t) = v₁(t) + v₂(t), is periodic with a period equal to the smallest common multiple of T₁ and T₂. In such a case show that V_avg = V_1,avg + V_2,avg.