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Questions and Answers
Two charged particles are separated by a distance $r$. If the charge of one particle is doubled and the distance between them is also doubled, how does the electric force between them change, according to Coulomb's Law?
Two charged particles are separated by a distance $r$. If the charge of one particle is doubled and the distance between them is also doubled, how does the electric force between them change, according to Coulomb's Law?
- The electric force is halved. (correct)
- The electric force is doubled.
- The electric force is quadrupled.
- The electric force remains the same.
A positive charge is placed in an electric field. Which of the following statements accurately describes the force acting on the charge?
A positive charge is placed in an electric field. Which of the following statements accurately describes the force acting on the charge?
- It experiences a force directed along the electric field. (correct)
- It experiences a force directed perpendicular to the electric field.
- It experiences no force.
- It experiences a force directed opposite to the electric field.
An electric dipole consists of two equal and opposite charges separated by a distance $d$. If the charge magnitude is $q$, and the dipole is placed in a uniform electric field $E$, what is the magnitude of the torque experienced by the dipole?
An electric dipole consists of two equal and opposite charges separated by a distance $d$. If the charge magnitude is $q$, and the dipole is placed in a uniform electric field $E$, what is the magnitude of the torque experienced by the dipole?
- $qEd \cos(θ)$
- $qEd \sin(θ)$ (correct)
- $qEd \tan(θ)$
- 0, because the net force on the dipole is zero.
What is the work required to move a charge $q_1$ from an infinite distance to a distance $r$ from another charge $q_2$?
What is the work required to move a charge $q_1$ from an infinite distance to a distance $r$ from another charge $q_2$?
A particle with charge $q$ is accelerated through a potential difference $V$. What is the kinetic energy gained by the particle?
A particle with charge $q$ is accelerated through a potential difference $V$. What is the kinetic energy gained by the particle?
In a circuit with a constant voltage source, if the resistance is doubled, what happens to the current?
In a circuit with a constant voltage source, if the resistance is doubled, what happens to the current?
A wire carries a current $I$ through an area $A$. What is the magnitude of the magnetic dipole moment ($M$)?
A wire carries a current $I$ through an area $A$. What is the magnitude of the magnetic dipole moment ($M$)?
A magnetic dipole is placed in a magnetic field $B$. If the angle between the magnetic dipole moment $M$ and the magnetic field is $θ$, what is the magnitude of the torque experienced by the dipole?
A magnetic dipole is placed in a magnetic field $B$. If the angle between the magnetic dipole moment $M$ and the magnetic field is $θ$, what is the magnitude of the torque experienced by the dipole?
Flashcards
Coulomb's Law
Coulomb's Law
Force between charges increases with charge size and decreases with distance squared.
Electric Field
Electric Field
A field where electric force acts on a charge, with magnitude and direction at each point.
Electric Dipole
Electric Dipole
Two equal but opposite charges separated by a distance.
Electric Potential Energy
Electric Potential Energy
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Electric Potential (Voltage)
Electric Potential (Voltage)
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Electric Current (I)
Electric Current (I)
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Ohm's Law
Ohm's Law
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Torque on Magnetic Dipole
Torque on Magnetic Dipole
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Study Notes
- Charges originate from electrons and protons.
- Rubbing objects causes electrons to transfer, creating a charge.
- Coulomb's Law determines the force of electric charge.
- Electric force increases with charge size and decreases inversely proportionally to the square of the distance: F = (q1q2) / (4π * ε0 * r^2).
- Like charges repel, and opposite charges attract.
Electric Field
- Electric field is a vector field where electrostatic force acts on an electric charge.
- Each charged body has an electric field around it.
- Electric field has strength and density.
- Magnitude of electric field: E= q/(4piEo*r^2).
- Density: D = ε0Q.
- Field lines point away from positive charges and towards negative charges.
- An electric dipole consists of two equal but opposite charges.
- Electric dipole possesses an electric dipole moment and experiences torque in an electric field.
- Electric dipole moment: p = q * d (where d is distance).
- Torque: T = p x E (moment cross electric field).
Electric Potential Energy
- Electric potential energy is the work required to move a charge q1 from infinite distance to a distance r from q2.
- Electric force is conservative; work depends only on initial and final positions.
- Work relation: W = q * (V2 - V1).
- Work equation: Wq = q1q2 / (4π * ε0 * r).
- Electric potential is energy per charge: V = U/q [Volts].
- Voltage is the potential energy difference between two points: V = Wq/q.
- Voltage in a uniform field: V = E * d, increasing with distance.
- Acceleration of a particle through a capacitor is an example of voltage.
Current, Voltage, Energy, and Ohm's Law
- Current (I) is the flow of charge: I = Q/t [Amperes], constant.
- Voltage (V) is the push causing current.
- Energy (E): E = V x I x t.
- Ohm's Law: V = I * R.
- Electrons drift, colliding with atoms.
- Increased voltage leads to faster electrons and higher current: I = ΔQ/Δt.
- Charge carriers include electrons, semiconductors, and ions.
- Electrical power: P = I * V [Watts].
Magnetic Dipole Moment
- Magnetic dipole moment: M = I x A (area).
- Torque: T = M x B sin(θ).
- Magnetic dipole field resembles a tiny bar magnet with field lines from N to S.
- The right-hand rule determines dipole moment direction.
- The magnetic field near a small permanent magnet is a physical field represented by magnetic field density B.
- Force fields are closed loops.
Magnetic Fields from Wires and Solenoids
- Straight wire creates a circular magnetic field (right-hand rule).
- Magnetic field density around a straight wire: B = (μ0 * I) / (2π * r).
- Density decreases with distance from the wire.
- A solenoid's magnetic field is similar to a bar magnet.
- The magnetic field inside a solenoid is uniform and directed along the axis.
- Outside the solenoid, the field is much smaller.
- Magnetic field inside solenoid: B = μ0 * N * I / L.
- A dipole placed inside a solenoid aligns with the magnetic field (B).
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Description
Explore electric charges, fields, and dipoles, including Coulomb's Law, electric field strength, and field lines. Learn about electric dipoles, their moments, and torque in electric fields. Includes formulas for force, electric field magnitude, density, and electric dipole moment.
