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MrRa [10]
4 years ago
7

At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by - -6.25 x 10-3 v/m and B = -2.08

x 10-111 . Find the Poynting vector for this wave. (Express your answer in vector form.) W/m2 S =
Physics
1 answer:
Yuri [45]4 years ago
7 0

Answer:

Poynting vector, S=1.03\times 10^{7}\ W/m^2

Explanation:

It is given that, The electric and magnetic fields of an electromagnetic wave are given by :

Electric field, E=6.25\times 10^{-3}\ V/m

Magnetic field, B=2.08\times 10^{-11}\ T

We need to find the Poynting vector for this wave. the Poynting vector is given by :

S=\dfrac{1}{\mu_o}EB

S=\dfrac{1}{4\pi \times 10^{-7}}\times 6.25\times 10^{-3}\times 2.08\times 10^{-11}

S=1.03\times 10^{7}\ W/m^2

So, the Poynting vector for this wave is 1.03\times 10^{7}\ W/m^2. Hence, this is the required solution.

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So option (c) will be the correct option

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What does m/s/s mean?
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Step by step process on how to solve this problem
rusak2 [61]

<u>Step-1:</u>  Remember or look up the formula for the force of gravity between two objects.    F = G · m₁ · m₂ / R²

<u>Step-2:</u>  Remember or look up the value of G.<em> </em> G = 6.67 x 10⁻¹¹ m³·kg/s²

<u>Step-3: </u> Write the numbers you know into the formula.

(1.989 x 10²⁰ Newtons) =

(6.67 x 10⁻¹¹ mtr³·kg/s²) · (5.9742 x 10²⁴ kg) · (moon mass) / (3.84 x 10⁸ mtr)²

<u>Step-4:</u>  Sit back, relax, take your time, look this mess over, carefully, end-to-end, and decide how to solve it for (moon mass) .

<u>Step-5:</u> Divide each side by (6.67x10⁻¹¹mtr³·kg/s²)·(5.9742x10²⁴kg)/(3.84x10⁸mtr)²:

Moon mass =

(1.989x10²⁰ Newtons)·(3.84x10⁸ mtr)²/(6.67x10⁻¹¹ mtr³·kg/s²)·(5.9742x10²⁴ kg)

<u>Step-6: </u> Crunch the numbers.  Be careful to KEEP all the units as you go along. When you're done, the units of your answer will be the first instant indication if you made a mistake.  You're looking for the MASS of the moon.  If the answer doesn't have units of 'kg', then that'll be an immediate red flag, telling you that there's been a mistake somewhere.

Moon mass =

(1.989x10²⁰ Newtons)·(3.84x10⁸ mtr)²/(6.67x10⁻¹¹ mtr³·kg/s²)·(5.9742x10²⁴ kg)

Collect the numbers, and collect the units:

Moon mass = (1.989x10²⁰ · (3.84x10⁸)² / (6.67x10⁻¹¹ · 5.9742x10²⁴)

(kg-mtr/s² · mtr²)/(mtr³·kg/s² · kg)

Moon mass = (1.989 · 3.84² x 10³⁶) / (6.67 · 5.9742 x 10¹³)

(kg-mtr/s² · mtr²)/(mtr³·kg/s² · kg)

Moon mass = 0.736 x 10²³ kg

Moon mass = 7.36 x 10²² kg

<u>Step 7: </u> Look it up in a book or online.  See if you're anywhere close.

When I search "moon mass" on Floogle, the first hit says

" 7.348 x 10²² kg " .

yay !  I'm satisfied.

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