AP EAMCET201825 Apr 2018Morning ShiftPhysicsAlternating CurrentActual
The RMS value of emf given by E = ( 8 sin ω t + 6 cos ω t ) volt is
Options
- A5 2   V
- B7 2   V
- C10   V
- D10 2   V
Correct answer
A. 5 2   V
Step-by-step solution
The given function is, E = 2 4 sin ω t + 3 cos ω t = 2 × 5 1 4 5 sin ω t + 3 5 cos ω t     = 10 cos θ sin ω t + sin θ cos ω t = 10 sin ω t + θ E = 10 sin ω t + θ compare it with, E = E 0 sin ω t + θ so E 0 = 10   V   &   E RMS = E 0 2 = 10   V   2 = 5 2   V