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Question : 17
Total: 26
How are em waves produced by oscillating charges?
Draw a sketch of linearly polarized em waves propagating in the Z-direction. Indicate the directions of the oscillating electric and magnetic fields.
OR
Write Maxwell's generalization of Ampere's Circuital Law. Show that in the process of charging a capacitor, the current produced within the plates of the capacitor isi = ε 0
Whereϕ E
Draw a sketch of linearly polarized em waves propagating in the Z-direction. Indicate the directions of the oscillating electric and magnetic fields.
OR
Write Maxwell's generalization of Ampere's Circuital Law. Show that in the process of charging a capacitor, the current produced within the plates of the capacitor is
Where
Solution:
Production of em waves
Drawing of sketch of linearly polarized em waves
Indication of directions of oscillating electric and magnetic fields
A charge oscillating with some frequency, produces an oscillating electric field in space, which in turn produces an oscillating magnetic field perpendicular to the electric field, this process goes on repeating, producing em waves in space perpendicular to both the fields.
Directions of
OR
Maxwell's generalization of Ampere's Circuital law
Showing that current produced, within the plates of a capacitor isi = ε 0
Ampere's circuital law is given by as
ϕ
⋅
= µ o i c
But for a circuit containing capacitor, during its charging / discharging the current within the plates of the capacitor varies, (producing displacement currenti d
ϕ
⋅
= µ 0 i c + µ 0 i d
During the process of charging of capacitor, electric flux( φ E )
i = ε o
Drawing of sketch of linearly polarized em waves
Indication of directions of oscillating electric and magnetic fields
A charge oscillating with some frequency, produces an oscillating electric field in space, which in turn produces an oscillating magnetic field perpendicular to the electric field, this process goes on repeating, producing em waves in space perpendicular to both the fields.
Directions of
OR
Maxwell's generalization of Ampere's Circuital law
Showing that current produced, within the plates of a capacitor is
Ampere's circuital law is given by as
But for a circuit containing capacitor, during its charging / discharging the current within the plates of the capacitor varies, (producing displacement current
During the process of charging of capacitor, electric flux
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