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elena-s [515]
4 years ago
11

An electromagnetic wave in a vacuum traveling in the +x direction generated by a variable source initially has a wavelength λ of

235 μm and a maximum electric field Emax in the +y direction of 3.30×10−3 V/m . If the period of the wave is then increased by a factor of 2.80, what is the equation of the resulting magnetic field component of the wave?
Physics
1 answer:
djverab [1.8K]4 years ago
5 0

Answer:

B = E/c = 14.04T₁ = 11 pT

Explanation:

We know c = E/B where E = maximum electric field = 3.30 × 10⁻³ V/m, B = maximum magnetic field and c = speed of light

B = E/c also c = fλ = λ/T where λ = wavelength = 235 μm = 235 × 10⁻⁶ m and T = period

c = λ₁/T₁ = λ₂/T₂    T₂ = 2.8T₁ where λ₁,λ₂ are the initial and final wavelengths and T₁,T₂ are the initial and final periods.

T₁ =  λ₁/c = 235 × 10⁻⁶ m/3 × 10⁸ m/s = 7.833 × 10⁻¹³ s = 0.7833 ps

T₂ = 2.8T₁ = 2.8 × 7.833 × 10⁻¹³ s = 21.93 × 10⁻¹³ s = 2.193 ps

λ₁/T₁ = λ₂/2.8T₁

λ₂ = 2.8λ₁ = 2.8 × 235 μm = 658 μm

c = λ₂/T₂ = 2.8λ₁/2.8T₁ = λ₁/T₁ , since the speed of light c is constant.

B = E/c = E/λ₁/T₁ = ET₁/λ₁

B = ET₁/λ₁ = 3.30 × 10⁻³ V/m × T₁/235 × 10⁻⁶ m = 14.04T₁  Tesla

B = 14.04 × 7.833 × 10⁻¹³ s = 10.99 × 10⁻¹² T ≅ 11 pT

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olchik [2.2K]

Answer:

1. It won't break

2. 0.5 squared meters

Explanation:

1. Pressure (P) is force (F) exerted over an area(A). Greater the force or smaller the area, the pressure will be greater. This is presented by an equation:

P = F / A

This metallic object can be placed on the table in 3 different positions, depending on which its side is pressed against the table. Since its dimensions are 3 • 6 • 8 m, surface areas of these sides are:

A1 = 3 • 6 = 18m^2

A2 = 3 • 8 = 24m^2

A3 = 6 • 8 = 48m^2

It is already stated that the smaller are, greater the pressure, so this object will exert the greatest pressure if it's placed on the table with its 18m^2 side. In this case, pressure will be:

P = 400N / 18m^2

P = 22.2 N/m^2 (N/m^2 is the same unit as Pascal)

So, the table can withstand 250 Pa of pressure, the object exerts only 22.2 Pa, which means that the glass table won't break.

2. Again, we need to know the equation that connects the force and the pressure, and that is:

P = F / A

In this case, we have both the force and the pressure, and we want to find the surface of the area. From the previous equation, area can be found as:

A = F / P

A = 20N / 40Pa (N/m^2)

A = 0.5 m^2

So, the answer is: this pressure is exerted on the area of half of squared metar.

8 0
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putting the value we get

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