![]() ![]() We are given a situation in which we have a frame containing an electric field lying flat on its side. Now that we've found an expression for time, we can at last plug this value into our expression for horizontal distance.Īnd lastly, use the trigonometric identity: Now, plug this expression into the above kinematic equation. Since the electric field is pointing from the positive terminal (positive y-direction) to the negative terminal (which we defined as the negative y-direction) the electric field is negative. We can do this by noting that the electric force is providing the acceleration.Īlso, it's important to remember our sign conventions. We also need to find an alternative expression for the acceleration term. Just as we did for the x-direction, we'll need to consider the y-component velocity. Also, since the acceleration in the y-direction is constant (due to a constant electric field), we can utilize the kinematic equations.Īnd since the displacement in the y-direction won't change, we can set it equal to zero. To do this, we'll need to consider the motion of the particle in the y-direction. Our next challenge is to find an expression for the time variable. We'll need to find the x-component of velocity. ![]() We'll start by using the following equation: That is to say, there is no acceleration in the x-direction. It's also important to realize that any acceleration that is occurring only happens in the y-direction. However, it's useful if we consider the positive y-direction as going towards the positive terminal, and the negative y-direction as going towards the negative terminal. Therefore, the only force we need concern ourselves with in this situation is the electric force - we can neglect gravity. Since this frame is lying on its side, the orientation of the electric field is perpendicular to gravity. We are being asked to find the horizontal distance that this particle will travel while in the electric field. In this frame, a positively charged particle is traveling through an electric field that is oriented such that the positively charged terminal is on the opposite side of where the particle starts from. ![]()
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