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A plane e.m. wave travelling along the x...

A plane e.m. wave travelling along the x-direction has a wavelength of 3mm. The variation in the electric field occurs in the y-direction with an amplitude `66Vm^-1`. The equation for the electric and magnetic fields as a function of x and t are respectively

A

`E_(y)=33 cos pixx10^(11)(t-(x)/(C))`
`B_(z)=1.1xx10^(-7)cos pixx10^(11)(t-(x)/(c ))`

B

`E_(y)=11 cos2pi xx10^(11)(t-(x)/(c ))`
`B_(y)=1.1xx10^(-7) cos 2pi xx10^(11) (t-(x)/(c ))`

C

`E_(x)=33cos pixx10^(11)(t-(x)/( c))`
`B_(x)=11xx10^(-7)cospi xx10^(11)(t-(x)/(c ))`

D

`E_(y)=66cos 2pixx10^(11) (t-(x)/(c ))`
`B_(z)=2.2 xx10^(-7) cos 2 pi xx10(11)(t-(x)/(c ))`

Text Solution

Verified by Experts

The correct Answer is:
D

`E_(y)=66 cos 2pixx10^(11) (t-(x)/(c ))`
`B_(x)=(E_(y))/(C )`
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