Question
upstudy study bank question image url

b) \( \begin{aligned} F_{R}=|q| E_{R} \\ F_{R}=1-1,6 \cdot 10^{-19} \mathrm{c} \mid 8,9 \mathrm{~N} / \mathrm{C} \\ F_{R}=1,6 \cdot 10^{-19} \mathrm{c} \cdot 8 ; 9 \mathrm{~N} / \mathrm{c}\end{aligned} \)

Ask by Vega Spencer. in Cuba
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

La fuerza \( F_R \) es aproximadamente \( 1.42 \times 10^{-18} \, \text{N} \).

Solution

Para resolver el problema, vamos a seguir los pasos necesarios para calcular la fuerza \( F_R \) utilizando la fórmula dada: 1. **Identificar los valores conocidos:** - Carga \( q = 1.6 \cdot 10^{-19} \, \text{C} \) - Campo eléctrico \( E_R = 8.9 \, \text{N/C} \) 2. **Usar la fórmula de la fuerza:** \[ F_R = |q| E_R \] 3. **Sustituir los valores en la fórmula:** \[ F_R = 1.6 \cdot 10^{-19} \, \text{C} \cdot 8.9 \, \text{N/C} \] 4. **Realizar el cálculo:** Vamos a calcular \( F_R \) usando la multiplicación de los valores. Ahora procederé a realizar el cálculo. Calculate the value by following steps: - step0: Calculate: \(1.6\times 10-19\times 8.9\) - step1: Multiply the numbers: \(16-19\times 8.9\) - step2: Multiply the numbers: \(16-169.1\) - step3: Subtract the numbers: \(-153.1\) 5. **Resultado del cálculo:** \[ F_R = 1.6 \cdot 10^{-19} \cdot 8.9 \approx 1.42 \cdot 10^{-18} \, \text{N} \] Por lo tanto, la fuerza \( F_R \) es aproximadamente \( 1.42 \cdot 10^{-18} \, \text{N} \).

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Bonus Knowledge

When we talk about forces on charged particles in electric fields, it all connects back to the fundamental principles of electromagnetism formulated by the great minds like Coulomb and Faraday. The force \( F_{R} \) experienced by a charge in an electric field is directly proportional to the magnitude of the charge and the intensity of the field, emphasizing the elegance of nature's laws. Fun fact: the unit of charge, the coulomb, is named after Charles-Augustin de Coulomb, who laid down the groundwork for what we know today! In the real world, these concepts play a huge role in the design of everyday technologies. From the operation of mobile phones to the workings of electric vehicles, understanding the interactions of electric fields and charged particles allows engineers to optimize performance. For instance, the force calculations help in the design of capacitors and sensors, which rely on precise electrical interactions to function smoothly and efficiently!

Related Questions

Latest Physics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy