Question

λ=100 m for t0=0t1=1/24t2=1/12t3=1/8t4=1/6 seconds a) Write the standing wave equation according to the given datas. (V(x,t)=(2Vcoswt)cosβx) Answer v(x,t)=(2V cos ωt) cos βx=(2cos6π)cos(100 2π )x

Answer 1

The standing wave equation is V(x,t) = (2Vcos(ωt))cos(βx).

Step-by-step explanation:

The standing wave equation you provided is written as V(x,t) = (2Vcos(ωt))cos(βx). In this equation, V is the amplitude of the wave, ω is the angular frequency, t is time, β is the wave number, and x is the position along the wave. The value of ω can be calculated using the formula ω = 2πf, where f is the frequency. The value of β can be calculated using the formula β = 2π/λ, where λ is the wavelength.

Using the given values, we can substitute them into the equation to obtain the standing wave equation as V(x,t) = (2Vcos(6π))cos(100 2π x).