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Question

A plane electromagnetic wave propagating in the xdirection in vacuum has wavelength of 6.0 mm. The electric field is in the ydirection and its maximum magnitude is 33 Vm1.

(i) The equation for the electric field as a function of x(m) and t(s) is.

​​​​​​​[1 Mark]

A
11 sin[π(txc)]
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B
33 sin[π×1011(txc)]
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C
33 sin[π(txc)]
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D
11 sin[π×1011(txc)]
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Solution

The correct option is B 33 sin[π×1011(txc)]
The equation for the electric field along y-axis in the electromagnetic wave is given by
Ey=E0 sin ω[txc]

Here ω=2πf=2πcλ=2π×3×1086×103=π×1011 rad s1

E0=33 Vm1 (given)

Ey=33 sin[π×1011(txc)]

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