Concept explainers
A free electron has an initial potential energy perunit charge (voltage) of 17 kJ/C and a velocity of93 Mm/s. Later, it potential energy per unit chargeis 6 kJ/C. Determine the change in velocity of the electron.
The change in velocity of the electron.
Answer to Problem 2.1HP
The change in velocity of the electron is
Explanation of Solution
Calculation:
The expression for the difference in the potential energy is given by,
Here,
The expression for the difference in the kinetic energy is given by,
Here,
The expression for the first law of thermodynamics is given by,
Here,
There is no external force is applied, so the value of the work done is
Substitute
Substitute
The conversion of
The conversion of
The conversion of
The conversion of
Rewrite the above equation for the final velocity.
The conversion of
The conversion of
The change in the velocity of the electron is given by,
Substitute
Conclusion:
Therefore,the change in velocity of the electron is
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