College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:The image illustrates an experimental setup involving a charged particle in an electric field. Here is a detailed description of the setup:
1. **Components of the Diagram**:
- A charged particle, labeled with charge \( q \) and mass \( m \), enters an electric field from the left.
- The particle has an initial velocity denoted by \( v_0 \).
- The electric field \( \mathbf{E} \) is represented by vertical arrows pointing downward, indicating the direction of the field.
- The distance covered by the electric field is labeled as 26.0 cm.
2. **Path and Measurement**:
- After passing through the electric field, the particle travels a further horizontal distance of 56.0 cm, presumably unaffected by the field now.
- A screen is positioned at the end of this path.
- There is a vertical displacement labeled \( d \) on the screen, indicating how far the particle has moved from its original path due to the action of the electric field.
3. **Purpose**:
- This setup is typically used to study the deflection of charged particles in an electric field, measuring their displacement \( d \) on the screen to calculate or confirm properties such as charge-to-mass ratio, velocity changes, or the characteristics of the electric field.
This model is often utilized in physics experiments related to electromagnetism, helping illustrate concepts like the force exerted on a charge by an electric field and the effect of this force on the particle's trajectory.
Transcribed Image Text:### Physics Problem: Charge-to-Mass Ratio Calculation
**Problem Description:**
A small object with mass \( m \), charge \( q \), and initial speed \( v_0 = 6.00 \times 10^3 \, \text{m/s} \) is projected into a uniform electric field between two parallel metal plates of length \( 26.0 \, \text{cm} \) (refer to Figure 1). The electric field between the plates is directed downward with a magnitude \( E = 800 \, \text{N/C} \). The field is assumed to be zero outside the region between the plates.
- The separation between the plates is large enough for the object to pass without hitting the lower plate.
- After traversing the field region, the object is deflected downward by a vertical distance \( d = 1.35 \, \text{cm} \) from its initial direction.
- A collecting plate is situated \( 56.0 \, \text{cm} \) from the edge of the parallel plates.
Assumptions: Ignore the effects of gravity and air resistance.
**Part A: Calculation Task**
Calculate the object's charge-to-mass ratio, \( \frac{q}{m} \).
- Express the answer in coulombs per kilogram (C/kg).
**Diagram Explanation:**
No explicit diagrams are provided in the text, but Figure 1 likely illustrates the setup, showing:
- Two parallel metal plates with a uniform downward electric field \( E \).
- The trajectory of the object, marking its deflection \( d \) after passing through the plates.
- The position of the collecting plate relative to the plates.
To solve the problem, apply concepts of electric fields, motion under uniform acceleration (deflection calculation), and kinematics.
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