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A plane electromagnetic wave propagating...

A plane electromagnetic wave propagating in the x-direction has wavelength of `60` mm. The electric field is in the y-direction and its maximum magnitude is `33 V//m^(-1)`.The equation for the electric field as function of x and t is:

A

`11sinpi(t-x//c)`

B

`33sinpixx10^(10)(t-x//c)`

C

`33sinpi(t-x//c)`

D

`11sinpixx10^(10)(t-x//c)`

Text Solution

Verified by Experts

The correct Answer is:
B
`omega=2piv=(2pic)/(lambda)=(2pixx3xx10^(8))/(60xx10^(-3))=10^(10)pi rad//s`
`E_(y)=E_(0)sinomega(t-(x)/(c ))=33sinpirxx10^(10)(t-x//c)`
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