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The ratio of the amplitude of the electr...

The ratio of the amplitude of the electric field to that of the magnetic field `(|E|//|B|)` of an electromagnetic wave travelling in vacume is always

A

equal to 1

B

greater than 1

C

less than 1

D

zero

Text Solution

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The correct Answer is:
To solve the question regarding the ratio of the amplitude of the electric field to that of the magnetic field in an electromagnetic wave traveling in a vacuum, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Relationship**: In an electromagnetic wave, the electric field (E) and magnetic field (B) are related by the speed of light (c). The relationship can be expressed as: \[ c = \frac{|E|}{|B|} \] where \(|E|\) is the amplitude of the electric field and \(|B|\) is the amplitude of the magnetic field. 2. **Rearranging the Equation**: From the above equation, we can rearrange it to find the ratio of the electric field amplitude to the magnetic field amplitude: \[ \frac{|E|}{|B|} = c \] 3. **Value of c**: The speed of light in a vacuum is approximately \(3 \times 10^8 \, \text{m/s}\). This value is greater than 1. 4. **Conclusion**: Since \(|E|/|B| = c\) and \(c\) is greater than 1, we conclude that the ratio of the amplitude of the electric field to that of the magnetic field in an electromagnetic wave traveling in a vacuum is always greater than 1. 5. **Final Answer**: Therefore, the correct answer is that the ratio \(|E|/|B|\) is always greater than 1.

To solve the question regarding the ratio of the amplitude of the electric field to that of the magnetic field in an electromagnetic wave traveling in a vacuum, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Relationship**: In an electromagnetic wave, the electric field (E) and magnetic field (B) are related by the speed of light (c). The relationship can be expressed as: \[ c = \frac{|E|}{|B|} \] ...
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