An electromagnetic wave of electric field E=10 sin(wt - kx) N/C is incident normal to the cross sectional area of - Physics - Electromagnetic Waves

Question

An electromagnetic wave of electric field E=10 sin(wt - kx) N/C is
incident normal to the cross sectional area of cylinder 10
cm/m×m and having length 100 cm, lying along x-axis Find
energy density, energy contained in the cylinder, the intensity of
the wave, momentum transferred to the cross sectional area of
cylinder in 1 s considering total absorption and the radian
pressure

Vijay Shankar Yadav · Accepted Answer

Dear Student,
we know energy density of the EM wave =12ε0E02=12×8
85×10-12×100=4
425×10-10Jm-3as here  E0=10V/mand energy contained in cylinder(U)=energy density×volume of the cylinder=4
425×10-10×10×10-4×1=4
425×10-13and intensityI=energy density×speed of wave=4
425×10-10×3×108=0
13275W/m2momentum transfered per second =energy density×cross section=4
425×10-10×10×10-4=4
425×10-13Nsand radiation   pressure=Ic=4
425×10-10pa
Regard