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Chapter 15: Problem 2141

What is the direction of \(\mathrm{E}^{-} \times \mathrm{B}^{-}\) in an electromagnetic wave? (A) same as that of \(E^{-}\) (B) same as that of \(\mathrm{B}^{-}\) (C) same as the direction of propagation of electromagnetic wave (D) none of these

Short Answer

Expert verified
The direction of \(\mathrm{E}^{-} \times \mathrm{B}^{-}\) in an electromagnetic wave is the same as the direction of propagation of the electromagnetic wave. Therefore, the correct answer is (C).

Step by step solution

01

Recall the right-hand rule for cross products

The right-hand rule states that if you hold your right hand with your thumb, index, and middle fingers mutually perpendicular and let your thumb point in the direction of the first vector and your index finger point in the direction of the second vector, then your middle finger will point in the direction of the cross product.
02

Remember the properties of electromagnetic waves

In an electromagnetic wave, the electric field, \(E^{-}\), and the magnetic field, \(B^{-}\), are always perpendicular to each other and also to the direction of propagation of the wave.
03

Apply the right-hand rule to find the direction of \(\mathrm{E}^{-} \times \mathrm{B}^{-}\)

Use the right-hand rule as described in Step 1. Point your thumb in the direction of the electric field, \(E^{-}\), and your index finger in the direction of the magnetic field, \(B^{-}\). Your middle finger, representing the cross product, will point in the direction of the propagation of the electromagnetic wave.
04

Choose the correct answer

Based on the results from Step 3, the direction of \(\mathrm{E}^{-} \times \mathrm{B}^{-}\) is the same as the direction of the propagation of the electromagnetic wave. Thus, the correct answer is (C) same as the direction of propagation of electromagnetic wave.

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Most popular questions from this chapter

Which of the following electromagnetic wave has the least frequency? (A) radiowave (B) infrared radiation (C) microwave (D) x rays

An electromagnetic wave going through vacuum is described by $E=E_{0} \sin (k x-\cot )$. Which of the following is independent of the wavelength? (A) \(\omega\) (B) \((\mathrm{k} / \mathrm{c})\) (C) \(\mathrm{k}_{\mathfrak{e}}\) (D) \(\mathrm{k}\)

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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 \(7 \times 10^{14} \mathrm{~Hz}\)
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