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Chapter 15: Problem 2148

For an electromagnetic wave, the phase difference between vectors \(\mathrm{E}^{-}\) and \(\mathrm{B}^{-}\) (far away from the source) (A) 0 (B) \([\pi / 2]\) (C) \(\pi\) (D) \([3 \pi / 2]\)

Short Answer

Expert verified
For an electromagnetic wave far away from the source, the electric field vector \(\mathrm{E}^{-}\) and the magnetic field vector \(\mathrm{B}^{-}\) are in phase with each other, meaning they reach their maximum and minimum values simultaneously. Therefore, the phase difference between these vectors is 0. So the correct answer is (A) 0.

Step by step solution

01

Recall the properties of electromagnetic waves

Electromagnetic waves consist of oscillating electric and magnetic fields that are perpendicular to each other and the direction of wave propagation. They travel at the speed of light, and their electric and magnetic fields are related by the equation: \[c = \frac{E}{B}\], where \(c\) is the speed of light, and \(E\) and \(B\) represent the magnitudes of the electric field and magnetic field, respectively.
02

Identify the phase difference between the electric and magnetic fields

In electromagnetic waves, the electric and magnetic fields oscillate sinusoidally and they are in phase with each other. This means that the electric and magnetic fields both reach their maximum and minimum values simultaneously. Therefore, the phase difference between the electric field vector \(\mathrm{E}^{-}\) and the magnetic field vector \(\mathrm{B}^{-}\) is 0.
03

Choose the correct answer

From the given options, the correct answer that represents the phase difference between the electric field vector \(\mathrm{E}^{-}\) and the magnetic field vector \(\mathrm{B}^{-}\) is: (A) 0

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Most popular questions from this chapter

Which of the following waves are not transverse in nature? (A) light emitted from a sodium lamp (B) sound waves travelling in air (C) \(\mathrm{x}\) rays from an \(\mathrm{x}\) ray machine (D) microwaves used in radar

A plane electromagnetic wave of frequency \(25 \mathrm{MHz}\) travels in free space along the \(\mathrm{x}\) direction. At a particular point in space and time \(\mathrm{E}^{-}=6.3 \mathrm{j} \wedge \mathrm{Vm}^{-1}\) then \(\mathrm{B}^{-}\) at this point is (A) \(2.1 \times 10^{-8}\) i \(\mathrm{T}\) (B) \(2.1 \times 10^{-8} \mathrm{k} \wedge \mathrm{T}\) (C) \(1.89 \times 10^{9} \mathrm{k} \wedge \mathrm{T}\) (D) \(2.52 \times 10^{-7} \mathrm{k} \wedge \mathrm{T}\)

Relation between amplitudes of electric and Magnetic field is (A) \(E_{0}=B_{0}\) (B) \(E_{0}=\mathrm{cB}_{0}\) (C) \(E_{0}=\left(B_{0} / c\right)\) (D) \(E_{0}=\left(\mathrm{c} / \mathrm{B}_{0}\right)\)

Range of frequency of microwaves is about (A) \(530 \mathrm{kHz}\) to \(1710 \mathrm{kHz}\) (B) \(54 \mathrm{MHz}\) to \(890 \mathrm{MHz}\) (C) \(3 \mathrm{GHz}\) to \(300 \mathrm{GHz}\) (D) \(4 \times 10^{14} \mathrm{~Hz}\) to \(7 \times 10^{14} \mathrm{~Hz}\)

What is the wave length of range of electromagnetic waves? (A) \(10^{-8} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\) (B) \(10^{-15} \mathrm{~m}\) to \(10^{8} \mathrm{~m}\) (C) \(10^{-15} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\) (D) \(10^{8} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\)
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