Three electromagnetic waves arrive at a point from the same direction. they are polarized parallel to an x axis, and their electric fields at the point are e1 = a sin(ωt) for wave 1, e2 = b sin(ωt + φ2) for wave 2, and e3 = c sin(ωt + φ3) for wave 3. here t is time. the constants are a = 3.0 µv/m, b = 4.0 µv/m, c = 5.0 µv/m, ω = 7.0 × 106 rad/s, φ2 = π/4, and φ3 = π/2. what is the amplitude (in µv/m) of the electric field that results from the interference of the three waves?

E₁ = 9.759sin(7.0 × 10⁶ t)

Explanation:

Given:

E₁ = 3sin(7.0 × 10⁶ t)

E₂ = 4sin(7.0 × 10⁶ t + 45°)

E₃ = 5sin(7.0 × 10⁶ t + 90°)

Now,

the net vertical component of Electric field E is

= 3sin(0°) + 4sin(0° + 45°) + 5sin(0° + 90°)

or

= 7.828

Now,

the net horizontal component of Electric field E is

= 3cos(0°) + 4cos(0° + 45°) + 5cos(0° + 90°)

or

= 5.828

Therefore, the resultant Electric field is

or

or

Now, the phase angle is given as:

hence,

E₁ = 9.759sin(7.0 × 10⁶ t)

chemical properties of thing

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​