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STATEMENT-1 : Magnitude of poying vector...

STATEMENT-1 : Magnitude of poying vector represents power per unit area.
STATEMENT-2 : Directionn of poynting vector gives the direction of propagation of electro-magnetic wave.

A

Statement-1 is True, Statement-2 is True-2 is True , Statement-2 is a correct explanation for Statement-8

B

Statement-1 is True, Statement-2 is True-2 is NOT a correct explanation for Statement-8

C

Statement-1 is True Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements regarding the Poynting vector, let's break down the solution step by step. ### Step 1: Understanding the Poynting Vector The Poynting vector (denoted as **S**) is defined as the vector that represents the directional energy flux (the rate of energy transfer per unit area) of an electromagnetic field. It is mathematically expressed as: \[ \mathbf{S} = \frac{1}{\mu_0} \mathbf{E} \times \mathbf{B} \] where: - \(\mathbf{E}\) is the electric field vector, - \(\mathbf{B}\) is the magnetic field vector, - \(\mu_0\) is the permeability of free space. ### Step 2: Evaluating Statement 1 **Statement 1** claims that the magnitude of the Poynting vector represents power per unit area. - The magnitude of the Poynting vector indeed represents the power per unit area, as it quantifies how much electromagnetic energy is passing through a unit area in a given time. Therefore, **Statement 1 is true**. ### Step 3: Evaluating Statement 2 **Statement 2** states that the direction of the Poynting vector gives the direction of propagation of electromagnetic waves. - The direction of the Poynting vector is given by the cross product of the electric field and magnetic field vectors (\(\mathbf{E} \times \mathbf{B}\)). This direction indicates the flow of energy in the electromagnetic wave, which corresponds to the direction in which the wave propagates. Thus, **Statement 2 is also true**. ### Conclusion Both statements are true: - **Statement 1**: True (Magnitude of Poynting vector represents power per unit area). - **Statement 2**: True (Direction of Poynting vector gives the direction of propagation of electromagnetic waves). ### Final Answer Both statements are correct. ---
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