Consider some fixed point x along the wave. How would you find the net amplitude at that point?mintkints said:how do I proceed ?
The resultant amplitude for waves of different frequencies is the combined amplitude of two or more waves with different frequencies. It is the sum of the individual amplitudes of each wave at a given point in time.
The resultant amplitude is calculated by adding the individual amplitudes of each wave at a given point in time. This can be done graphically by adding the amplitudes of the waves on a graph, or mathematically by using the formula A = √(A₁² + A₂² + ...), where A is the resultant amplitude and A₁, A₂, etc. are the individual amplitudes.
Yes, the frequency of a wave does affect its amplitude. Generally, as the frequency of a wave increases, its amplitude decreases. This is because the energy of a wave is spread out over a shorter distance as its frequency increases, resulting in a smaller amplitude.
Yes, waves with different frequencies can have the same resultant amplitude. This can occur when the individual amplitudes of the waves are equal but have opposite signs (one is positive, the other is negative), resulting in a net amplitude of zero.
The phase difference between waves can affect the resultant amplitude in different ways. If the waves are in phase (i.e. their crests and troughs align), the resultant amplitude will be the sum of the individual amplitudes. However, if the waves are out of phase (i.e. their crests and troughs do not align), the resultant amplitude will be reduced or even canceled out depending on the degree of phase difference.