Question
A beam of electrons whose kinetic energy is $K$ emerges from a thin-foil "window" at the end of anaccelerator tube. A metal plate at distance $d$ from this window is perpendicular to the direction of the emerging bcam (Fig, $28-53 )$ . (a) Show that we can prevent the beam from hittingthe plate if we apply a uniform magnetic ficld such that $$B \geqq \sqrt{\frac{2 m K}{e^{2} d^{2}}}$$ $$\begin{array}{l}{\text { in which } m \text { and } e \text { are the electron mass and charge. (b) How should }} \\ {\vec{B} \text { be oriented? }}\end{array}$$
Step 1
Step 1: The force exerted on the electron by the magnetic field is given by $F = e v B$, where $e$ is the charge of the electron, $v$ is the velocity of the electron, and $B$ is the magnetic field. Show more…
Show all steps
Your feedback will help us improve your experience
Satyam Gupta and 71 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A beam of electrons whose kinetic energy is $K$ emerges from a thin-foil "window" at the end of an accelerator tube. A metal plate at distance $d$ from this window is perpendicular to the direction of the emerging bcam. (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic ficld such that $$B geqq sqrt{frac{2 m K}{e^{2} d^{2}}}$$ in which $m$ and $e$ are the electron mass and charge. (b) How should $vec{B}$ be oriented?
A beam of electrons whose kinetic energy is $K$ emerges from a thin-foil "window" at the end of an accelerator tube. A metal plate at distance $d$ from this window is perpendicular to the direction of the emerging beam (Fig. $28-53$ ). (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic field such that $$ B \geq \sqrt{\frac{2 m K}{e^{2} d^{2}}} $$ in which $m$ and $e$ are the electron mass and charge. (b) How should $\vec{B}$ be oriented?
A beam of electrons whose kinetic energy is $K$ emerges from a thin-foil "window" at the end of an accelerator tube. A metal plate at distance $d$ from this window is perpendicular to the direction of the emerging beam (Fig. 28-53). (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic field such that $$ B \geq \sqrt{\frac{2 m K}{e^{2} d^{2}}} $$ in which $m$ and $e$ are the electron mass and charge. (b) How should $\vec{B}$ be oriented?
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD