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Alona [7]
3 years ago
12

The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m2. What is the maximum va

lue of the magnetic field in the wave? (c = 3.0 x 108 m/s, μ0 = 4π × 10-7 T ∙ m/A, ε0 = 8.85 × 10-12 C2/N ∙ m2)
Physics
1 answer:
VladimirAG [237]3 years ago
3 0

Answer:

The maximum value of the magnetic field in the wave is 7.79\times10^{-8}\ T.

Explanation:

Given that,

Average value of pointing vector = 0.724 W/m²

We need to calculate the magnetic field

Using formula of pointing vector

S=\dfrac{1}{\mu_{0}}(E\times B)

The average value of pointing vector

=\dfrac{1}{2\mu_{0}}\times E_{0}B_{0}....(I)

We know that,

E_{0}=cB_{0}

Put the value of E_{0} in equation (II)

=\dfrac{1}{2\mu_{0}}\times c(B_{0})^2

Put the value into the formula

0.724=\dfrac{1}{2\times4\pi\times10^{-7}}\times3\times10^{8}\times (B_{0})^2

B_{0}=\sqrt{\dfrac{0.724\times2\times4\pi\times10^{-7}}{3\times10^{8}}}

B_{0}=7.79\times10^{-8}\ T

Hence, The maximum value of the magnetic field in the wave is 7.79\times10^{-8}\ T.

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