Electric field solving problems

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  • 06.05.2020
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Electric field. Electric charge. Power characteristics of the electric field. Solving problems

Learning objective :

Discussion of the properties of the electric field and determination of its power characteristics

Lesson objectives

know the concept of electric field strength;
know which lines of force have an electric field;
know the movement of the charge in the electric field
solving problems using Coulomb's law

Assessment criteria:

The student has achieved the learning objective if…

* knows the concept of electric field strength and electric field lines.
* describes the movement of the charge in an electric field.
* able to distinguish between uniform and non-uniform fields.
* can use the principle of superposition in the calculation.
* able to solve problems using Coulomb's law

Assessment.

Student's name __________________________

 

Stage of the lesson

Мах points

Student’s point

1

Individual work
Physical dictation

15

 

2

Pair work
Tasks from Bilimland.kz

8

3

Group work
«Station»

12

Result:

35

The percentage

100%

%

1-70% Committed to the goal
71-100% Achieve the goal

Individual work. Physical dictation

Recall the past materials:
What is an electric field?
What is an electric charge?
What properties are in the electric field?
What is the power characteristic of the electric field?
How is Coulomb's law formulated?

Task descriptors:

* Write definitions of physical quantities in academic language
* Write the appropriate formulas of physical quantities
* Write the units of physical quantities

Assessment.
For each correct answer is assigned to max three points

2

1

New theme

Electric field

Electric field is defined as the electric force per unit charge. The direction of the field is taken to be the direction of the force it would exert on a positive test charge. The electric field is radially outward from a positive charge and radially in toward a negative point charge.

Electric field strength

𝐹𝐹=𝑘𝑘 𝑞 1 𝑞 2 𝑟 2 𝑞 1 𝑞 1 𝑞𝑞 𝑞 1 1 𝑞 1 𝑞 1 𝑞 2 𝑞 2 𝑞𝑞 𝑞 2 2 𝑞 2 𝑞 2 𝑞 1 𝑞 2 𝑟 2 𝑟 2 𝑟𝑟 𝑟 2 2 𝑟 2 𝑞 1 𝑞 2 𝑟 2

𝐹 𝑞 2 𝐹𝐹 𝐹 𝑞 2 𝑞 2 𝑞 2 𝑞𝑞 𝑞 2 2 𝑞 2 𝑞 2 𝐹 𝑞 2 =𝑘𝑘 𝑞 1 𝑟 2 𝑞 1 𝑞 1 𝑞𝑞 𝑞 1 1 𝑞 1 𝑞 1 𝑞 1 𝑟 2 𝑟 2 𝑟𝑟 𝑟 2 2 𝑟 2 𝑞 1 𝑟 2

The intensity of the electric field is called the physical quantity equal to the ratio of the force with which the field acts on a positive test charge placed at a given point in space, to the value of this charge

𝐸 = 𝐹 𝑞

𝐸 = Н Кл

Electric field strength

Point charge intensity at a given point:

𝐸= 𝐹 𝑞 =𝑘 𝑞 0 𝑟 2

Electric field strength

Point charge intensity at a given point:

𝐸= 𝐹 𝑞 =𝑘 𝑞 0 𝑟 2

Electric field strength

Point charge intensity at a given point:
:

𝐸= 𝐹 𝑞 =𝑘 𝑞 0 𝑟 2

𝐹

𝐹 𝐹𝐹 𝐹 = 𝐸 𝐸𝐸 𝐸 𝑞𝑞

𝒒 𝟎

Electric field strength

Point charge intensity at a given point:

𝐸= 𝐹 𝑞 =𝑘 𝑞 0 𝑟 2

𝐹

𝐹 𝐹𝐹 𝐹 = 𝐸 𝐸𝐸 𝐸 𝑞𝑞

𝒒 𝟎

Electric force

The effect of the electric field around the charged bodies increases, and the farther away from them is weakened. In order to talk about the magnitude of the electric field acting on a charged body, it is necessary to enter a quantitative description of the field. On the charging body or particle is called the electric force, operating from the side of the field

Electric field strength

Let's place the two metal plates parallel to each other. If one of these plates give a charge +q, and the other-q, the distance between the plates is less than their linear dimensions, the stress lines of this field are parallel. The force and direction (uniform) of the field between the plates becomes stable and weak, changing its direction along the edge of the plate.

Electric field strength

At each point modulo and direction of the DC electric field is called homogeneous. The voltage lines in a uniform electric field are parallel to each other. The electric field voltage lines are closed, continuous and do not intersect. Depending on what you use these elements, you use them at different points in the field. Uneven field called fields with different densities of stress lines at different points of the field.

1

2

Superposition principle

The principle of superposition: if the intensity of charged particles at a given point in space is a certain field, the molten voltage is equal to the vector sum of the stresses caused by these charges

𝐹 𝐹𝐹 𝐹 = 𝐹 1 𝐹 𝐹𝐹 𝐹 𝐹 1 1 𝐹 1 + 𝐹 2 𝐹 𝐹𝐹 𝐹 𝐹 2 2 𝐹 2 + 𝐹 3 𝐹 𝐹𝐹 𝐹 𝐹 3 3 𝐹 3

𝑞 0 𝑞𝑞 𝑞 0 0 𝑞 0

𝑞 1 𝑞𝑞 𝑞 1 1 𝑞 1

𝑞 3 𝑞𝑞 𝑞 3 3 𝑞 3

𝑞 2 𝑞𝑞 𝑞 2 2 𝑞 2

𝐹 1 𝐹 𝐹𝐹 𝐹 𝐹 1 1 𝐹 1

𝐹 2 𝐹 𝐹𝐹 𝐹 𝐹 2 2 𝐹 2

𝐹 3 𝐹 𝐹𝐹 𝐹 𝐹 3 3 𝐹 3

𝐸 𝐸𝐸 𝐸 = 𝐸 1 𝐸 𝐸𝐸 𝐸 𝐸 1 1 𝐸 1 + 𝐸 2 𝐸 𝐸𝐸 𝐸 𝐸 2 2 𝐸 2 + 𝐸 3 𝐸 𝐸𝐸 𝐸 𝐸 3 3 𝐸 3

𝐹 𝑞 0 = 𝐹 1 𝑞 0 + 𝐹 2 𝑞 0 + 𝐹 3 𝑞 0

Videos

https://bilimland.kz/kk/courses/physics-kk/ehlektrodinamika/ehlektrostatika/lesson/ehlektr-orisi
 

Pair work

Task descriptors:
* Consideration of graphs using simulators.
* Answer questions

https://bilimland.kz/kk/courses/physics-kk/ehlektrodinamika/ehlektrostatika/lesson/ehlektr-orisi
Мах 8 points

Group work

The division into groups by pictures

«Station»

Task descriptors:
• Correctly write the given condition of the problem. Translation to SI units
• To write using formulas
• Correctly write the answer and ways to solve the problem

Charge the metal ball -1.6 µCl. How many extra electrons are there on the ball?
With what force interact with each other two charges of 20 nCl each, standing at a distance of 3 cm from each other? к= 9·109 N·m2/ Cl2
When increasing each of the charges by 4 times, in order for the force of interaction to remain the same, it is necessary to change the distance between these charges several times.
Two small balls that are at a distance of 10 cm from each other, have the same negative charges, and they interact with a force of 0.23 mN. Find the number of" extra " electrons on each ball.

The answers of the decision task

Assessment
For each correct offset is assigned 3 points. In total, the overall group work is max 12 points. Groups evaluate each other.

Home work

8,3 – 8,4
From the book to solve problems : № 3,58 – 3,66

Reflection