Define what is meant by electric field strength.
A potential difference of $2.5\,\text{kV}$ is applied across a pair of horizontal metal plates in a vacuum, as shown in Fig. 2.1. Each plate has a length of $5.9\,\text{cm}$. The separation of the plates is $4.0\,\text{cm}$. The arrangement produces a uniform electric field between the plates. Assume the field does not extend beyond the edges of the plates. An electron enters the field at point A with horizontal velocity $3.7 \times 10^7\,\text{m s}^{-1}$ along a line mid-way between the plates. The electron leaves the field at point B.
Calculate the time taken for the electron to travel from A to B.
Calculate the magnitude of the electric field strength.
Show that the acceleration of the electron in the field is $1.1 \times 10^{16}\,\text{m s}^{-2}$.
Use the acceleration from (iii) together with your answer in (i) to find the vertical distance $y$ between point B and the upper plate.
Explain why the calculation in (iv) does not need to include the gravitational effects on the electron.
The electron enters the field at time $t = 0$. On Fig. 2.2, sketch graphs to show how, with time $t$, (1) the horizontal component $v_x$ of the velocity of the electron, and (2) the vertical component $v_y$ of the velocity of the electron, vary. Numerical values are not required.
Using the acceleration from (iii) and your result in (i), determine the vertical distance $y$ between point B and the upper plate.
Explain why the calculation in (iv) does not need to include the gravitational effects on the electron.
The electron enters the field at time $t = 0$. On Fig. 2.2, sketch graphs to show the variation with time $t$ of: 1. the horizontal component $v_x$ of the velocity of the electron, 2. the vertical component $v_y$ of the velocity of the electron. Numerical values are not required.