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Question

# A plane electromagnetic wave propagating in the x−direction in vacuum has wavelength of 6.0 mm. The electric field is in the y−direction and its maximum magnitude is 33 Vm−1. (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(t−xc)]The equation for the electric field along y-axis in the electromagnetic wave is given by Ey=E0 sin ω[t−xc] Here ω=2πf=2πcλ=2π×3×1086×10−3=π×1011 rad s−1 E0=33 Vm−1 (given) Ey=33 sin[π×1011(t−xc)]

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