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Electromagnetic Waves Test - 15

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Electromagnetic Waves Test - 15
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  • Question 1
    1 / -0
    Electromagnetic waves are transverse in nature is evident by
    Solution

  • Question 2
    1 / -0
    An electromagnetic wave is propagating along Y-axis. Then
    Solution
    $$Answer:-$$ B option
    electromagnetic radiation consists of electromagnetic waves, which are synchronized oscillations of electric and magnetic fields that propagate at the speed of light through a vaccum. The oscillations of the two fields are perpendicular to each other and perpendicular to the direction of energy and wave propagation, forming a transverse wave.
    so if propogation is along Y-direction ,Electric field will be along X or Z ,if it is along Z -direction than Magnetic field has to be in X -direction.

  • Question 3
    1 / -0
    In an electromagnetic wave, the direction of the magnetic induction $$\vec{B}$$ is
    Solution
    $$Answer:-$$ B
    The electric field is always perpendicular to the magnetic field, and both fields are directed at right-angles to the direction of propagation of the wave. In fact, the wave propagates in the direction $$\vec{E} \times \vec{B}$$.  Electromagnetic waves are clearly a type of transverse wave.

  • Question 4
    1 / -0
    Light wave is travelling along y-direction. If the corresponding $$\vec{E}$$ vector at any time along the $$x-$$axis, the direction of $$\vec{B}$$ vector at that time is along

    Solution
    Light wave is an electromagnetic wave in which $$\vec{E}$$ and $$\vec{B}$$ are at right angles to each other as well as at right angles to the direction of wave propagation. So from the given information in the question, the direction of $$\vec{B}$$ vector is in positive $$z$$ direction. 
  • Question 5
    1 / -0
    Maxwell's corrections to Ampere's law was required when the later was extended to:
    Solution
    The original form of Maxwell's circuital law relates magnetic fields to electric currents that produce them. It determines the magnetic field associated with a given current (static), or the current associated with a given magnetic field.
    $$\bigtriangledown\times B=\mu_0 J$$

    The circuital equation is extended by including the polarization current, thereby remedying the limited applicability of the original circuital law by Ampere. Thus it is for the non-static situation.
    $$\bigtriangledown\times H=J_f+\dfrac{dD}{dt}$$
  • Question 6
    1 / -0
    Maxwell introduced displacement current to remove the conceptual contradiction in 
    Solution
    Maxwell pointed out the inconsistency of the Ampere's circuital law, when this law was applied to an electric circuit having a capacitor, the law appeared wrong or incomplete. Because no current was assumed in the space between the plates of capacitor. Maxwell said that there is also a current flow, in the space between the plates of a capacitor due to time varying electric field between the plates. Maxwell named this current as displacement current ($$i_{d}$$). This concept makes a continuous flow of current in an electric circuit containing a capacitor.
    Now the improved Ampere's law, called Ampere-Maxwell's law is given by:
           $$\oint\vec B.\vec dl=\mu_{0}i_{c}+\mu_{0}\varepsilon_{0}\dfrac{d\phi_{E}}{dt}$$
  • Question 7
    1 / -0
    Fill in the blanks. 
    Current flowing through the resistor is known as ________ , while the current flowing through the capacitor is commonly known as _______. 
    Solution
    Current does not flow through the capacitor . But the current that flows out of one electrode of capacitor equals the current that flows in to the other electrode. The net effect is as if there is a current flowing through the path containing the capacitor.  This is known as displacement current.
    But current actually flows through the resistor known as conduction current.
  • Question 8
    1 / -0
    An  AM radio wave is emitted by a radio antenna and travels across flat ground. Find out the direction of the magnetic field component of the wave?
    Solution
    According to Maxwell  an  accelerated charge produces a sinusoidal time varying magnetic field which in turn produces a time varying electric field .The two fields so produced are mutually perpendicular to each other and  constitute an  electromagnetic wave and propagate in space in the direction perpendicular to both the fields. 
    An AM wave is also an electromagnetic wave therefore its magnetic field component would be parallel to ground and perpendicular to the direction of propogation.
  • Question 9
    1 / -0
    According to Maxwell's hypothesis, changing of electric field give rise to 
    Solution
    Changing of electric field produces displacement current which produces magnetic field. So, changing electric field produces magnetic field.
  • Question 10
    1 / -0
    Identify which of the following is NOT a characteristic of electromagnetic waves?
    Solution
    Electromagnetic waves (EM) have sinusoidal electrical as well as magnetic waves at right angle to each other and the EM waves propagate through the space with a speed equal to speed of light.
    Also the EM waves have both crests and troughs.
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