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An Electron enters a uniform magnetic field B = 0.23 T at
Chapter 15, Problem 87GP(choose chapter or problem)
An electron enters a uniform magnetic field \(B=0.23 \mathrm{~T}\) at a \(45^{u}\) angle to \(\vec{B}\). Determine the radius and pitch (distance between loops) of the electron's helical path assuming its speed is \(3.0 \times 10^{6} \mathrm{~m} / \mathrm{s}\). See Fig. .
FIGURE 20-72 Problem 87.
Equation Transcription:
Text Transcription:
B=0.23 T
45u
\vec B
3.0 x 106 m/s
Questions & Answers
QUESTION:
An electron enters a uniform magnetic field \(B=0.23 \mathrm{~T}\) at a \(45^{u}\) angle to \(\vec{B}\). Determine the radius and pitch (distance between loops) of the electron's helical path assuming its speed is \(3.0 \times 10^{6} \mathrm{~m} / \mathrm{s}\). See Fig. .
FIGURE 20-72 Problem 87.
Equation Transcription:
Text Transcription:
B=0.23 T
45u
\vec B
3.0 x 106 m/s
ANSWER:
Step 1 of 2
Initial velocity is:
Magnetic field is:
Initial angle:
The component of the velocity along the magnetic field is .
The electron travels in a circular path with the velocity perpendicular to the field.
The centripetal force is equal to the magnetic force on it.