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Electrostatics: Coulomb's Law and Force Calculations, Cheat Sheet of Electrical and Electronics Engineering

Illinois Institute of Technology (IIT)Electrical and Electronics Engineering

A comprehensive guide to understanding and applying coulomb's law in electrostatics. It presents multiple examples of calculating the force between point charges in various configurations, including those on the x-axis and in two dimensions. The document also explores the concept of superposition and demonstrates how to determine the net force on a charge due to multiple other charges. It includes detailed explanations, step-by-step calculations, and diagrams to illustrate the principles involved. This resource is valuable for students studying electrostatics and related concepts in physics.

Typology: Cheat Sheet

2023/2024

Uploaded on 03/20/2025

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Ejemplo 1

3 cargas puntuales Q1= Q2 = 2µC Y Q3 = 4µC esta n colocadas como se muestra.

Encuentre la fuerza resultante en Q3.

𝐹13 = 𝐾𝑒 |𝑄1| |𝑄2|

0.5 𝑚2

𝐹13 = (9 × 109) (2 × 10−6)(4×10−6)

(0.5)2

𝐹13 = 0.29 𝑁

𝐹13 = 𝐹23

(𝐹13)𝑥 = 𝐹13 𝑐𝑜𝑠𝜃

(𝐹13)𝑦 = −𝐹13 𝑠𝑒𝑛𝜃

𝑐𝑜𝑠𝜃 = 0.4

0.5 = 0.8

𝑠𝑒𝑛𝜃 = 0.3

0.5 = 0.6

𝐹𝑥 = (𝐹13)𝑥 + (𝐹23)𝑥 = 𝐹13 𝑐𝑜𝑠 𝜃

𝐹𝑥 = 2 𝐹13 𝑐𝑜𝑠 𝜃 = 2 (0.29) (0.8) = 0.46 𝑁

𝐹𝑦 = (𝐹13)𝑦 + (𝐹23)𝑦

𝐹𝑦 = −𝐹13 𝑠𝑒𝑛𝜃 + 𝐹23 𝑐𝑜𝑠 𝜃 = 0

Partial preview of the text

Download Electrostatics: Coulomb's Law and Force Calculations and more Cheat Sheet Electrical and Electronics Engineering in PDF only on Docsity!

Ejemplo 1

3 cargas puntuales Q1= Q2 = 2μC Y Q3 = 4μC estan colocadas como se muestra.

Encuentre la fuerza resultante en Q3.

13

1

2

13

9 × 10

9

2 × 10

− 6

4 × 10

− 6

2

13

23

13

𝑥

13

𝑦

13

𝑥

13

𝑥

23

𝑥

13

𝑥

13

𝑦

13

𝑦

23

𝑦

13

23

Ejemplo 1 Metodo vectorial

1

2

3

Principio de superposicio n

𝑄 3

3

1

3

1

3

1

3

2

3

2

3

2

3

𝑄 3

3

[

1

3

1

3

1

3

2

3

2

3

2

3

]

𝑄 3

13

23

3

1

3

2

3

1

3

2

𝑄 3

= ( 9 × 10

9

𝑁×𝑚

2

𝐶

2

) ( 4 × 10

− 6

𝐶) [

( 2 × 10

− 6

𝐶)

(

4 𝑖̂ − 0. 3 𝑗̂

) 𝑚

( 0. 5 𝑚)

3

( 2 × 10

− 6

𝐶)

(

4 𝑖̂ + 0. 3 𝑗̂

) 𝑚

( 0. 5 𝑚)

3

]

𝑄 3

= 0. 576 𝑁 [ 0. 4 𝑖̂ − 0. 3 𝑗̂ + 0. 4 𝑖̂ + 0. 3 𝑗̂ ]

𝑄 3

b)

𝑞 0

0

1

2

𝑞 0

= ( 9 × 10

9

𝑁×𝑚

2

𝐶

2

20 × 10

− 9

25 𝐶 𝑖̂

𝑥

2

10 𝐶 𝑖̂

( 𝑥− 2

)

2

) × 10

− 9

𝑞 0

2

) × 10

− 9

𝑞 0

2

) × 10

− 6

𝑞 0

2

) × 10

− 6

𝑞 0

2

) × 10

− 6

2

𝑞 0

2

𝑞 0

2

𝑞 0

3

𝑞 0

3

𝑞 0

3

𝑞 0

Ley de Coulomb

27.- Tres cargas puntuales estan en el eje x; 𝑞 1

= − 6 , 0 𝜇𝐶 esta en x = - 3,0 m,

2

= 4 , 0 𝜇𝐶 esta en el origen y 𝑞

3

= − 6 , 0 𝜇𝐶 esta en x = - 3,0 m. Hallar la fuerza

ejercida sobre 𝑞 1

1

2

3

𝑞 1

1

2

21

2

3

31

2

21

31

𝑞 1

= ( 9 × 10

9

𝑁 × 𝑚

2

6 × 10

− 9

4 × 10

− 6

2

6 × 10

− 6

2

𝑞 1

= 54 × 10

− 3

𝑞 1

= 15 × 10

− 3

𝑞 1

= 1. 5 × 10

− 2

29.- Dos cargas puntuales de - 2 y 4 μC, respectivamente, estan separadas una distancia

L… ¿Donde se deberí a poner una tercera carga para que la fuerza electrica sobre ella

fuera nula?

𝑞 0

0

2

21

2

3

31

2

10

20

10

20

𝑞 0

0

2

(−𝑖̂ )) × 10

− 6

2

1

2

35.- Cinco cargas iguales Q estan igualmente espaciadas en un semicírculo de radio R

como indica la figura. Determinar la fuerza (en funcion de K, Q y R) que se ejerce sobre

una carga q localizada equidistante de las otras cargas en el centro del semicí rculo.

𝑞

1

2

3

4

5

1

2

3

4

5

2

𝑞

𝑖

5

𝑖 = 1

1

2

3

4

5

𝑖

5

𝑖 = 1

𝑞

2

Ejercicio

𝑞

𝑖

3

5

𝑖 = 1

1

2

3

4

5

1

𝑖

1

𝑞

3

𝑖

5

𝑖 = 1

𝑞

3

𝑖

5

𝑖 = 1

𝑞

3

𝑞

3

Electrostatics: Coulomb's Law and Force Calculations, Cheat Sheet of Electrical and Electronics Engineering

Related documents

Partial preview of the text

Download Electrostatics: Coulomb's Law and Force Calculations and more Cheat Sheet Electrical and Electronics Engineering in PDF only on Docsity!

9 × 10

2 × 10

4 × 10

[

]

= ( 9 × 10

) ( 4 × 10

𝐶) [

]

= 0. 576 𝑁 [ 0. 4 𝑖̂ − 0. 3 𝑗̂ + 0. 4 𝑖̂ + 0. 3 𝑗̂ ]

= ( 9 × 10

20 × 10

) × 10

) × 10

) × 10

) × 10

) × 10

= ( 9 × 10

𝑁 × 𝑚

6 × 10

4 × 10

6 × 10

= 54 × 10

= 15 × 10

= 1. 5 × 10

(−𝑖̂ )) × 10