The intensity of a plane electromagnetic wave is 0.06 W/m^2. What is the maximum value of the magnetic field associated with this wave?

A. 2.0 10^-8 T — The intensity of an electromagnetic wave is related to the magnetic field amplitude by the formula I = (B0^2 * c) / (2 * mu0). Solving for B0 gives B0 = sqrt(2 * I * mu0 / c).

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$The intensity of a plane electromagnetic wave is I = 0.06 W/m^{2} . What is the maximum value of the magnetic field B_{0} associated with this wave? (Given: speed of light c = 3 \times 1 0^{8} m/s, permeability of free space μ_{0} = 4 π \times 1 0^{- 7} T m/A)$

A. $2.0 \times 1 0^{- 8} T$
B. $2.5 \times 1 0^{- 8} T$
C. $3.0 \times 1 0^{- 8} T$
D. $4.0 \times 1 0^{- 8} T$

Show correct answer & step-by-step solution

Correct answer: A — $2.0 \times 1 0^{- 8} T$

Solution

Using I = \frac{B _{0}^{2} c}{2 μ _{0}}, we find B_{0} = \frac{2 I μ _{0}}{c} = \frac{2 \times 0.06 \times 4 π \times 1 0 ^{- 7}}{3 \times 1 0 ^{8}} \approx 2.0 \times 1 0^{- 8} T .

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The intensity of a plane electromagnetic wave is I=0.06 W/m2. What is the maximum value of the magnetic field B0​ associated with this wave? (Given: speed of light c=3×108 m/s, permeability of free space μ0​=4π×10−7 T m/A)

Solution

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More Electromagnetic Waves practice questions

$The intensity of a plane electromagnetic wave is I = 0.06 W/m^{2} . What is the maximum value of the magnetic field B_{0} associated with this wave? (Given: speed of light c = 3 \times 1 0^{8} m/s, permeability of free space μ_{0} = 4 π \times 1 0^{- 7} T m/A)$