Resultant Amplitude of Two SHMs

Resultant Amplitude of Two SHMs

### Formula

$$A_R=\sqrt{A_1^2+A_2^2+2A_1A_2\cos\phi}$$

### Terminologies

- AR → Resultant amplitude.

- A₁, A₂ → Individual amplitudes.

- φ → Phase difference.

### Conditions / Special Cases

- Maximum amplitude:

$$A_R=A_1+A_2$$

- Minimum amplitude:

$$A_R=|A_1-A_2|$$

### Usage

- Used in interference and oscillation combination problems.