The electric field in an electromagnetic wave is given by E = 56.5 sin $$\omega$$(t $$-$$ x/c) NC$$-$$1. Find the intensity of the wave if it is propagating along x-axis in the free space.
(Given : $$\varepsilon $$0 = 8.85 $$\times$$ 10$$-$$12C2N$$-$$1m$$-$$2)
An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiations coming from this bulb? Consider this bulb as a point source with 3.5% efficiency.
A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is 4.5 $$\times$$ 10$$-$$2 Am$$-$$1 at a point, what will be the approximate magnitude of electric field intensity at that point?
(Given : Permeability of free space $$\mu$$0 = 4$$\pi$$ $$\times$$ 10$$-$$7 NA$$-$$2, speed of light in vacuum c = 3 $$\times$$ 108 ms$$-$$1)
E = 20cos(2 $$\times$$ 1010 t $$-$$ 200x) V/m. The dielectric constant of the medium is equal to : (Take $$\mu$$r = 1)