Podcast
Questions and Answers
Which statement accurately describes the relationship between electric field and force on another charge particle?
Which statement accurately describes the relationship between electric field and force on another charge particle?
- The electric field is a region where charges always move at a constant velocity.
- The electric field is the 3D space around a charge in which it can exert force on another charge particle. (correct)
- The electric field is the 2D space in which a charge cannot exert force on another charge particle.
- The electric field is the region where gravitational forces are dominant.
Why is it important for a test charge to have a very small magnitude?
Why is it important for a test charge to have a very small magnitude?
- To ensure it doesn't disrupt the electric field of the main charge. (correct)
- To simplify calculations involving vector addition of electric fields.
- To accurately measure its own electric field intensity.
- To increase the force it experiences in an electric field.
What is the standard definition of electric field intensity?
What is the standard definition of electric field intensity?
- The force per unit charge at a point in space. (correct)
- The limit of the force on a test charge as the charge approaches zero.
- The potential energy per unit charge.
- The limit of the test charge approaching zero, divided by the force exerted on it.
How does the electric field intensity relate to the force experienced by a charge $q$?
How does the electric field intensity relate to the force experienced by a charge $q$?
What is the direction of the force on a negative charge in an electric field?
What is the direction of the force on a negative charge in an electric field?
If a charge is projected with a velocity $u$ against an electric field $E$, what happens to its motion?
If a charge is projected with a velocity $u$ against an electric field $E$, what happens to its motion?
A ball of mass $m$ has a charge $q$. What condition must be met for it to remain at rest in an electric field $E$?
A ball of mass $m$ has a charge $q$. What condition must be met for it to remain at rest in an electric field $E$?
What impact does the electric force $qE$ have on the mean position of oscillation?
What impact does the electric force $qE$ have on the mean position of oscillation?
When a charge particle is projected perpendicular to an electric field, which of the following is true about the angle of deflection $\theta$?
When a charge particle is projected perpendicular to an electric field, which of the following is true about the angle of deflection $\theta$?
A simple pendulum with length $L$ is placed in a parallel plate capacitor with an electric field $E$. What is the time period of the pendulum?
A simple pendulum with length $L$ is placed in a parallel plate capacitor with an electric field $E$. What is the time period of the pendulum?
Three point charges are placed on the circumference of a circle. What is the direction of the electric field?
Three point charges are placed on the circumference of a circle. What is the direction of the electric field?
Six charges are arranged at the vertices of a regular hexagon. What conditions affect the electric field?
Six charges are arranged at the vertices of a regular hexagon. What conditions affect the electric field?
A particle of mass $m$ and charge $q$ is released from rest in a uniform electric field. What is the dependence of its speed $v$ on the distance $x$?
A particle of mass $m$ and charge $q$ is released from rest in a uniform electric field. What is the dependence of its speed $v$ on the distance $x$?
A small point mass carrying some positive charge is released from the edge of a table in a uniform electric field. What shape will the trajectory of the mass be?
A small point mass carrying some positive charge is released from the edge of a table in a uniform electric field. What shape will the trajectory of the mass be?
A positive charge particle is thrown in what direction to a uniform electric field?
A positive charge particle is thrown in what direction to a uniform electric field?
Charges $Q_1$ and $Q_2$ affect the electric field, how does it relate?
Charges $Q_1$ and $Q_2$ affect the electric field, how does it relate?
In a uniform electric field $E$, an electron travels with a certain speed. What is the speed's deviation?
In a uniform electric field $E$, an electron travels with a certain speed. What is the speed's deviation?
A uniform electric field, $E = -400\sqrt{3}yNC^{-1}$ is applied in a region. Then what will the particle do?
A uniform electric field, $E = -400\sqrt{3}yNC^{-1}$ is applied in a region. Then what will the particle do?
What can be said about electric field lines?
What can be said about electric field lines?
From which charge do Field Lines originate from?
From which charge do Field Lines originate from?
What is true about the intersection of Electric Field Lines?
What is true about the intersection of Electric Field Lines?
What is the relationship between EF Intensity and Spacing?
What is the relationship between EF Intensity and Spacing?
Which statement correctly describes what happens within an isolated conductor?
Which statement correctly describes what happens within an isolated conductor?
What force occurs when qE = mg?
What force occurs when qE = mg?
A charge with distance, force, and mass undergoes what motion?
A charge with distance, force, and mass undergoes what motion?
Which point is inaccurate?
Which point is inaccurate?
An oil drop is affected by what variable when being still?
An oil drop is affected by what variable when being still?
How are EF lines represented pictorially in relation to charge particle?
How are EF lines represented pictorially in relation to charge particle?
An electric field of magnitude prevents a water droplet from falling, what variable do we consider?
An electric field of magnitude prevents a water droplet from falling, what variable do we consider?
Looping EF due to charges never form what?
Looping EF due to charges never form what?
If an electric field has a magnitude, mass and a charge, the acceleration is constant. What law supports this?
If an electric field has a magnitude, mass and a charge, the acceleration is constant. What law supports this?
What is the result of a negative charge and the electric field?
What is the result of a negative charge and the electric field?
As the speed and distance of a projectile increases in an electric field, what becomes true?
As the speed and distance of a projectile increases in an electric field, what becomes true?
As test charges approach zero (0), the force ____
As test charges approach zero (0), the force ____
When finding stopping distance, what variable should you use?
When finding stopping distance, what variable should you use?
There are two equal and opposite charges on each side of a line. What is true about the charges?
There are two equal and opposite charges on each side of a line. What is true about the charges?
Flashcards
Electric Field
Electric Field
The 3D space around a charge in which it can exert a force on another charge particle.
Test Charge
Test Charge
A small positive charge used to test the electric field around another charge.
Electric Field Intensity
Electric Field Intensity
The force per unit Coulomb at a point in an electric field.
Electric Field Intensity due to positive Charge
Electric Field Intensity due to positive Charge
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Electric Field Intensity due to negative Charge
Electric Field Intensity due to negative Charge
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EF Intensity Formula
EF Intensity Formula
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EF Intensity
EF Intensity
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Force on a charge particle in EF
Force on a charge particle in EF
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Acceleration of particle in EF
Acceleration of particle in EF
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Stopping distance & time
Stopping distance & time
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Charge on a ball of mass m
Charge on a ball of mass m
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Pendulum time period with EF
Pendulum time period with EF
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Range Formula
Range Formula
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Trajectory
Trajectory
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Electric field between plate
Electric field between plate
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Electric field line
Electric field line
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Characteristics of Electric field Lines
Characteristics of Electric field Lines
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Electric field lines
Electric field lines
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Electric field lines -intersection
Electric field lines -intersection
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EF Intensity relation spacing
EF Intensity relation spacing
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Electric field lines relate to charge
Electric field lines relate to charge
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Study Notes
- Electric Field is the 3D space around a charge in which it can exert force on another charge particle
Test Charge
- Test charge is positive conventionall
- Test charge has a very small magnitude
- A small magnitude makes sure as to not disrupt the Electric Field (EF) of the main charge.
- Test charges can be positive or negative
Electric Field Intensity
- Electric Field Intensity (EF Intensity) is "force per unit Coulomb".
- EF = Limit of (F/q), as q approaches 0
- EF Intensity is the standard definition.
Calculating EF Intensity
- Formula to calculate the force between charges Q & +1C
- F = (K * Q * 1C) / r^2
- E = (K * Q) / r^2
- The direction of the electric field is outward
- For a negative charge, the Electric Field is: F = (K * Q * 1) / r^2, E = (K * Q) / r^2, direction is inward.
- Electric Field Intensity is a vector quantity and follows Vector Laws of Addition.
- Units of Electric field are N/C or V/m
- Dimensions are M L T^-2 / AT = [M L T^-3 A^-1]
- E = -dV/dr
Force on any charge particle
- By definition, E = F/q0 or F = q0 * E
Acceleration of Particles within Electric Field
- Acceleration = F/m = qE/m
- For a positive charge, force is in the same direction as E
- For a negative charge, force is in the opposite direction of E
Projectile Motion Questions:
- q is projected with velocity u against E, find stopping distance & stopping time
- Acceleration is qE/m (+x direction) and constant, so kinematics can be used
- Particle will retard: v = u + at => 0 = -u + (qE/m)t => t = mu / qE
- v^2 - u^2 = 2as => 0 - u^2 = -2(qE/m)x => x = (mu^2) / (2qE)
Millikan drop Experiment
- A ball of mass m has charge q. What should the value of q be so that it remains at rest? "g" = acceleration due to gravity
- qE = mg => q = mg/E
-
of e- remove = ne = mg/E => n = mg / eE
Pendulum Based Problems :
- T = 2 * pi * sqrt(l / geff)
- geff = g + (qE/m)
- geff = g - (qE/m)
- Equilibrium Condition: tan(theta) = a/g = qE/mg
- goff = sqrt(g^2 + (qE/m)^2)
Oscillating System
- T = 2π * sqrt(m/k)
Projectile Motion
- Time = 2 * u * sin(theta) / (g + qE/m)
- Height = (u^2 * sin^2(theta)) / (2 * (g + qE/m))
- Range = (u^2 * sin(2*theta)) / (g + qE/m)
Projectile motion of charge particles perpendicular to Electric Field (gravity free space)
- acceleration for charge particle is a = qE/m
- ay = +qE/m
- ax = 0
- uy = 0
- ux = u, always remains constant
- Time to cross plates: Sx = uxt + (1/2)axt^2 => l = ut + 0 => t = l/u
- Vertical displacement of charge when it crosses plates: Sy = uyt + (1/2)ayt^2 = 0 + (1/2) * (qE/m) * (l/u)^2
- Angle of deflection of charge: tan(Θ) = vy/vx = (uy + ayt) / ux = (qE*l) / (mu^2)
- Θ = tan^-1( (qEl) / (mu^2) )
Trajectory equation
- Sx = uxt
- x = ut
- Sy = uyt + (1/2)ayt^2
- y = (qEx^2) / (2mu^2)
Capacitor Plate Problem
- E = V/d
- T = sqrt(2H/geff)
Block and Wall setup
- F = qE
- a = qE/m = constant
Electric Field Lines:
- What are electric field Lines? "Line of force"
- These are Imaginary lines tangent to which at any point we get the direction of force on the charge particle. (To represent EF pictorially).
- Origination and Termination: always originate from (+) & terminates at (-) Charge.
- Looping: EF due to charges never form Closed Loop. (Conservative Field, Work done by EF in Closed path =0).
- No intersection of EF Lines: If Intersection, Two tangent at onepoint, not possible.
- Relative spacing between lines:
- IF Intensity is inversely proportional to spacing between lines.
- If lines are close, Electric field is stronger
- If lines are far, Electric field is weaker
- Line density:
- q = # of EF Lines
Problems
- A simple pendulum of length L is placed between the plates of a parallel plate capacitor having an electric field E. The bob has mass m and charge q.
- Time period of the pendulum is: T = 2π * sqrt(L / (g + (qE/m)) )
Other Problems
- Three point charges on circumference of circle of radius 'd'. Determine Electric Field along x-axis at the center of the circle.
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