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Korvikt [17]
3 years ago
9

A)If the rms value of the electric field in an electromagnetic wave is doubled, by what factor does the rms value of the magneti

c field change? B)If the rms value of the electric field in an electromagnetic wave is doubled, by what factor does the average intensity of the wave change?
Physics
1 answer:
Ghella [55]3 years ago
7 0

A) The magnetic field doubles as well

The relationship between rms value of the electric field and rms value of the magnetic field for an electromagnetic wave is the following:

E_{rms}=cB_{rms}

where

E_rms is the magnitude of the electric field

c is the speed of light

B_rms is the magnitude of the magnetic field

From the equation, we see that the electric field and the magnetic field are directly proportional: therefore, if the rms value of the electric field is doubled, then the rms value of the magnetic field will double as well.

B) The intensity will quadruple

The intensity of an electromagnetic wave is given by

I=\frac{1}{2}c\epsilon_0 E_0^2

where

c is the speed of light

\epsilon_0 is the vacuum permittivity

E_0 is the peak intensity of the electric field

The rms value of the electric field is related to the peak value by

E_{rms}=\frac{E_0}{\sqrt{2}}

So we can rewrite the equation for the intensity as

I=c\epsilon_0 E_{rms}^2

we see that the intensity is proportional to the square of the rms value of the electric field: therefore, if the rms value of the electric field is doubled, the average intensity of the wave will quadruple.

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Which of the following is an example of an electromagnetic wave?
Gnom [1K]

light from a neon sign


3 0
3 years ago
If 2.40 g of KNO3 reacts with sufficient sulfur (S8) and carbon (C), how much P-V work will the gases do against an external pre
creativ13 [48]

Answer:

-112.876J

Explanation:

In order to solve this question, we would need to incorporate Stoichiometry, which involves using relationships between reactants and/or products in a chemical reaction to determine desired quantitative data.

Here's a balanced equation for the reaction:

16KNO_3(s) + 24C(s) + S_8(s)    \to 24CO_2(g) + 8N_2(g) + 8K_2S(s)

Let us define P - V work as;

w_{pv} = - P_{external}  \triangle Volume

where  \triangle (Volume) = (V_{final} - V_{initial})

External pressure is given as  1.00atm , therefore the work solely depends on the change in volume and since the reactants are solids, none of the reactants contribute to the volume. Hence,  V_i = 0.

To find the volume of the products, we need to first find the amount of moles of the product made from  2.40_gKNO_3, using the molar mass of  KNO_3  which is 101.1032 g/mol  

2.40_gKNO_3 . {\frac{1molKNO_3}{101.1032_g}} = 0.0237molKNO_3

Now let us convert moles of  KNO_3  into moles of CO_2 and N_2  using the stoichiometric ratios from our balanced equation of the reaction.

0.0237molKNO_3 . {\frac{24molCO_2}{16molKNO_3}} = 0.0356molCO_2

0.0237molKNO_3 . {\frac{8molN_2}{16molKNO_3}} = 0.01185molN_2

K_2S is not factored into the volume calculation because it is a solid.

Now let us also convert the moles of  CO_2  and  N_2 into grams using their respective molar masses.

0.0356molCO_2 . {\frac{44.01_g}{1molCO_2}} = 1.567_gCO_2

0.01185molN_2 . {\frac{28.014_g}{1molN_2}} = 0.332_gN_2

We will now proceed to convert grams into volume using the density values provided.

1.567_gCO_2 . {\frac{1L}{1.830_g}} = 0.856LCO_2

0.332_gN_2 . {\frac{1L}{1.165_g}} = 0.285LN_2

Summing up the two volumes, we get the final volume

0.856L + 0.258L = 1.114L = V_f

Plugging everything into the w_{pv} equation, we get:

w_{pv} = -1atm(1.114L - 0L) = -1.114L.atm

Finally, let us convert L.atm into joules using the conversion rate of;

1L.atm = 101.325J\\-1.114L.atm. {\frac{101.325J}{1L.atm}} = -112.876J

7 0
3 years ago
A laser is placed at the point $(3,5)$. The laser beam travels in a straight line. Larry wants the beam to hit and bounce off th
Black_prince [1.1K]

Answer:

4units

Explanation:

To calculate the total distance the beam will travel along this path, you will use the formula for calculating the distance between two coordinates expressed as;

D = √(x2-x1)²+(y2-y1)²

Given the coordinate points

(3,5) and (7,5)

Substitute

D = √(7-3)²+(5-5)²

D = √(7-3)²+0²

D = √4²

D = √16

D = 4

Hence the total distance the beam will travel along this path is 4units

6 0
3 years ago
Each of the planets also spins about an axis running through it. True or False
Mnenie [13.5K]

Answer:

True

Explanation:

All the planets have formed from a mass of spinning particles. As they formed from spinning mass the planets are still spinning due to the conservation of angular momentum. Hence all planets spins about an axis running through it.

All planets spin in counterclockwise direction when viewed from above. Except Venus rotates in anticlockwise direction and Uranus' axis of rotation is titled towards its side.

5 0
3 years ago
a mass spring system makes 50 complete osillations in 10 seconds. what is the period and frequency of the oscillations
Oxana [17]

Answer: Period = 0.2 seconds; frequency = 5Hz

Explanation:

Number of oscillations = 50

Time required = 10 seconds

Period (T) = ?

Frequency of the oscillations (F) = ?

A) Recall that frequency is the number of oscillations that the mass spring system completes in one second.

i.e Frequency = (Number of oscillations / time taken)

F = 50/10 = 5Hz

B) Period, T is inversely proportional to frequency. i.e Period = 1/Frequency

T = 1/5Hz

T = 0.2 seconds

Thus, the the period and frequency of the oscillations are 0.2 seconds and 5Hz respectively.

5 0
4 years ago
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