Laboration - Rörelse i fält Fundera ut hur experimentuppställningen kan användas för att visa att de modeller vi har, stämmer för elektroners rörelse i ett homogent elektriskt fält. Gör nödvändiga beräkningar, tex vilken spänning som behövs över plattorna för att elektronerna skall avböjas en viss sträcka.

Question

UpStudy AI · Accepted Answer

For the experiment setup to demonstrate that the models we have for electron movement in a homogeneous electric field are correct, we need to calculate the required voltage across the plates to deflect electrons by a certain distance.

Let's denote:
- $$ d $$ as the distance the electrons are deflected,
- $$ V $$ as the voltage across the plates,
- $$ E $$ as the electric field strength,
- $$ q $$ as the charge of an electron,
- $$ m $$ as the mass of an electron.

The electric field strength $$ E $$ can be calculated using the formula:
$$ E = \frac{V}{d} $$

The force exerted on an electron by the electric field is given by:
$$ F = qE $$

Since the force is responsible for deflecting the electron, we can use the equation of motion to relate the force, mass, and acceleration of the electron:
$$ F = ma $$

Substituting the expressions for force and electric field strength, we get:
$$ qE = ma $$

Substituting $$ E = \frac{V}{d} $$ into the equation, we have:
$$ q\frac{V}{d} = ma $$

Rearranging the equation to solve for $$ V $$, we get:
$$ V = \frac{mad}{q} $$

This equation shows that the voltage required across the plates to deflect electrons by a certain distance is directly proportional to the mass of the electron, the distance of deflection, and the electric field strength, and inversely proportional to the charge of the electron.

Therefore, by adjusting the voltage across the plates, we can control the deflection of electrons in the electric field and demonstrate the correctness of our models for electron movement in a homogeneous electric field.
To deflect electrons by a certain distance in a homogeneous electric field, you need to calculate the required voltage across the plates using the formula $$ V = \frac{mad}{q} $$, where: - $$ m $$ is the mass of an electron, - $$ a $$ is the acceleration, - $$ d $$ is the deflection distance, - $$ q $$ is the electron's charge. By setting the voltage based on this calculation, the experiment will demonstrate that the models for electron movement in the electric field are correct.

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Physics Questions