An electromagnetic wave exhibits a magnetic field that can be described by the equation B_y = (2.00 nT) sin[(0.80×10⁶)x - ωt], where x indicates the position in meters, and t is the time in seconds. Determine the wavelength of the electromagnetic wave.

A 10 mW infrared laser has a beam diameter of 2.0 mm. What is the rms value of the electric and magnetic field in the beam?

A laser emits light pulses of 2 × 10^-9 seconds duration in a physics experiment. Given that the speed of light is 3 × 10⁸ m/s, what is the spatial length of these light pulses?

A design engineer is working on a radio tuner that selects 150 MHz frequency signals. If it uses an inductor of 1.5 μH, what must the capacitance be?

In a laboratory studying electromagnetic waves, a researcher observed a plane electromagnetic wave where the equation E_y = E₀ sin(kz − ωt) gives the electric field component. The researcher notes that the other electric field components are zero, meaning E_x = E_z = 0. He needs to determine two important characteristics of the wave:

(a) Based on the given electric field equation, in which direction is the wave propagating?

(b) What is the magnitude and orientation of the magnetic field B associated with this electromagnetic wave?