In an electromagnetic wave, the electric and magnetic fields are 100 V/m and 0.265 A/m. The maximum energy flow will be:

1. 79 W/m2
2. 13.2 W/m2
3. 53.0 W/m2
4. 26.5 W/m2

To determine the maximum energy flow in an electromagnetic wave, we can use the relationship between the electric field (E) and the magnetic field (B). The energy flow in an electromagnetic wave is quantified by the Poynting vector, which is given by the formula:

Poynting Vector Formula

The Poynting vector (S) is defined as:

S = E × H

Where:

• S is the Poynting vector (in W/m²).
• E is the electric field strength (in V/m).
• H is the magnetic field strength (in A/m).

Given Values

In your case, the electric field strength (E) is 100 V/m, and the magnetic field strength (H) is 0.265 A/m. We can now substitute these values into the formula.

Calculating the Poynting Vector

First, we need to calculate the maximum energy flow:

S = E × H

Substituting the given values:

S = 100 V/m × 0.265 A/m

Now, performing the multiplication:

S = 26.5 W/m²

Final Result

The maximum energy flow in the electromagnetic wave is 26.5 W/m². This means that for every square meter of area perpendicular to the direction of wave propagation, there is an energy flow of 26.5 watts.

Understanding the Context

This result is significant in various applications, such as telecommunications and broadcasting, where understanding the energy carried by electromagnetic waves is crucial for designing efficient systems. The Poynting vector not only helps in calculating energy flow but also provides insights into how energy is transported through space in the form of electromagnetic radiation.