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Mango12
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Knowing that V=E(delta x), show that V=(mv^2/2q)
I think I have to use kinematics and substitute some things but I'm not sure
I think I have to use kinematics and substitute some things but I'm not sure
There is a lot more to the question than you posted. Do you have a particle in a mass-selector or velocity selector? I'm trying to figure out where the kinetic energy term comes from in V=(mv^2/2q).Mango12 said:Knowing that V=E(delta x), show that V=(mv^2/2q)
I think I have to use kinematics and substitute some things but I'm not sure
topsquark said:There is a lot more to the question than you posted. Do you have a particle in a mass-selector or velocity selector? I'm trying to figure out where the kinetic energy term comes from in V=(mv^2/2q).
-Dan
Please post the whole question, not just what it involves. You still haven't given enough information!Mango12 said:Well, the problem involves xenon.
topsquark said:Please post the whole question, not just what it involves. You still haven't given enough information!
-Dan
Mango12 said:One mole of xenon is .131kg and a single atom of xenon is 2.2*10^-25 kg. It is traveling 2.7*10^4 m/s. Using the diagram and knowing that voltage=E(delta x), show that voltage=mv^2/2q
I like Serena said:Hi Mango12,
When a particle of charge $q$ is accelerated by an electric field $E$, the electric force is $F=qE$.
When traversing a distance $\Delta x$ the work done is $W = F\Delta x$ (if the force is constant).
That work is equal to the kinetic energy $U_k = \frac 12 m v^2$ that the particle gains (assuming it starts from a speed of about zero).
So we have:
$$W = U_k \quad\Rightarrow\quad F\Delta x = \frac 12 m v^2
\quad\Rightarrow\quad qE\Delta x =\frac 12 m v^2
\quad\Rightarrow\quad qV =\frac 12 m v^2
\quad\Rightarrow\quad V =\frac {m v^2}{2q}
$$
To prove a voltage equation, you must use Ohm's Law (V = I x R) or Kirchhoff's Voltage Law (ΣV = 0) to solve for the voltage in a given circuit.
The purpose of proving a voltage equation is to verify the relationship between voltage, current, and resistance in a circuit and to ensure that the equation accurately describes the behavior of the circuit.
The steps involved in proving a voltage equation include identifying the circuit components, applying the appropriate laws or equations, and solving for the unknown voltage.
Some common mistakes to avoid when proving a voltage equation include using incorrect values for current or resistance, neglecting the polarity of voltage sources, and forgetting to include all voltage drops in a circuit.
A voltage equation is correct if it follows the laws of physics and accurately predicts the voltage in a circuit. It can also be verified through experimentation and comparing the calculated voltage to the measured voltage in a circuit.