What is the magnitude of an electric field at a certain time?

In summary, the graph shows the time variation of the magnitude of the electric field of an electromagnetic wave produced by a wire antenna. To determine the magnitude of the electric field at t = 3.34 × 10−10 s, one can use the sinusoidal equation for E vs. t derived from the graph. Similarly, the magnitude of the magnetic field at t = 6.0 × 10−9 s and t = 6.67 × 10−10 s can also be determined using this equation, as the magnitude of the B field is related to the E field by a constant.
  • #1
tinabelcher_13
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The figure (http://tinypic.com/r/vo5ssm/6) shows the time variation of the magnitude of the electric field of an electromagnetic wave produced by a wire antenna.

What is the magnitude of the electric field at t = 3.34 × 10−10 s?
What is the magnitude of the magnetic field at t = 6.0 × 10−9 s and at t = 6.67 × 10−10 s?
I keep looking throughout the chapter to figure some kind of equations. The only ones I see
are u=ε0E^2, the doppler effect, and polarization.. Please help with a good explanation of the answers.
 

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  • #2
Welcome to PF tinabelcher_13!

Why do you feel that you need equations? You have a graph of the magnitude of the E field vs. time in front of you. What's prevent you from just reading the value of the magnitude at specific times from the graph?

EDIT: Okay, so the graph doesn't have very good time resolution, but the variation is sinusoidal, with an amplitude, phase, and period that you can determine from reading the graph. Once you have that (sinusoidal equation for E vs. t) you can answer the questions. The magnitude of the B field is related to the E field by a constant.
 

FAQ: What is the magnitude of an electric field at a certain time?

What is the magnitude of an electric field at a certain time?

The magnitude of an electric field refers to the strength or intensity of the electric field at a specific point in space. It is a vector quantity, meaning it has both magnitude and direction. The magnitude of an electric field is usually measured in volts per meter (V/m).

How is the magnitude of an electric field calculated?

The magnitude of an electric field can be calculated using the formula E = F/q, where E is the electric field, F is the force exerted by the field on a charged particle, and q is the charge of the particle. It can also be calculated using the formula E = kQ/r^2, where k is the Coulomb's constant, Q is the source charge, and r is the distance from the source charge.

How does the magnitude of an electric field change with distance?

The magnitude of an electric field is inversely proportional to the distance from the source charge. This means that as the distance increases, the magnitude of the electric field decreases. This relationship is described by the inverse square law, which states that the magnitude of the electric field is inversely proportional to the square of the distance.

How is the magnitude of an electric field affected by multiple charges?

When there are multiple charges present, the magnitude of the electric field at a certain point is the vector sum of the individual electric fields produced by each charge. This means that the total electric field at that point will depend on the magnitude and direction of each individual electric field.

How does the magnitude of an electric field vary with time?

The magnitude of an electric field can vary with time if there are time-varying sources of charge, such as alternating currents. In this case, the magnitude of the electric field will also vary with time, creating an electromagnetic wave. The rate at which the electric field changes with time is known as the frequency of the electromagnetic wave.

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