What is the maximum value of the magnetic field at a distance of 2.5 m from a light bulb that radiates 100 W of single-frequency sinusoidal electromagnetic waves uniformly in all directions? (ε0 = 8.85 × 10-12 C2/N ∙

Respuesta :

Answer:

[tex] 1.04\times 10^{-7}[/tex] T

Explanation:

[tex]IP[/tex]  = Power of the bulb = 100 W

[tex]r[/tex]  = distance from the bulb = 2.5 m

[tex]I[/tex] = Intensity of light at the location

Intensity of the light at the location is given as

[tex]I = \frac{P}{4\pi r^{2}}[/tex]

[tex]I = \frac{100}{4(3.14) (2.5)^{2}}[/tex]

[tex]I[/tex] = 1.28 W/m²

[tex]B_{o}[/tex] = maximum magnetic field

Intensity is given as

[tex]I = \frac{B_{o}^{2}c}{2\mu _{o}}[/tex]

[tex]1.28 = \frac{B_{o}^{2}(3\times 10^{8})}{2(12.56\times 10^{-7})}[/tex]

[tex]B_{o} = 1.04\times 10^{-7}[/tex] T