Chapter 41, Problem 30P

Required information Two speakers vibrate in phase with each other at 523 Hz. At certain points in the room, the sound waves from the two speakers interfere destructively. One such point is 1.45 m from speaker #1 and is between 2.00 m and 4.00 m from speaker #2. The speed of sound in air is 343 m/s. How far is this point from speaker #2? m

a) Consider the following function, where A is a constant. y(x,t) = A(x — vt). Can this represent a wave that travels along? Explain. b) Which of the following are possible traveling waves, provide your reasoning and give the velocity of the wave if it can be a traveling wave. e-(a²x²+b²²-2abtx b.1) y(x,t) b.2) y(x,t) = = A sin(ax² - bt²). 2 b.3) y(x,t) = A sin 2π (+) b.4) y(x,t) = A cos² 2π(t-x). b.5) y(x,t) = A cos wt sin(kx - wt)

The capacitor in (Figure 1) is initially uncharged. The switch is closed at t=0. Immediately after the switch is closed, what is the current through the resistor R1, R2, and R3? What is the final charge on the capacitor? Please explain all steps.