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What is the relationship between the kinetic energy of a proton and a deuteron when both have the same charge and potential?
What is the relationship between the kinetic energy of a proton and a deuteron when both have the same charge and potential?
The kinetic energies of the proton and deuteron are equal, represented by Kp:Kd = 1:1.
Using Fleming’s left hand rule, how do you determine the direction of magnetic force on a positively charged particle?
Using Fleming’s left hand rule, how do you determine the direction of magnetic force on a positively charged particle?
Adjust the thumb, forefinger, and middle finger such that forefinger points to the magnetic field and middle finger points to the velocity; the thumb then indicates the direction of the magnetic force.
If the radius of the circular path of a proton is 10 cm, what would be the radius of the path for the deuteron?
If the radius of the circular path of a proton is 10 cm, what would be the radius of the path for the deuteron?
The radius of the circular path for the deuteron is also 10 cm.
What is the ratio of the periodic times of a proton and an alpha particle if the ratio of their masses and charges is applied in the periodic time formula?
What is the ratio of the periodic times of a proton and an alpha particle if the ratio of their masses and charges is applied in the periodic time formula?
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Deduce the formula for the radius of a charged particle's circular path in a magnetic field.
Deduce the formula for the radius of a charged particle's circular path in a magnetic field.
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How is the total resistance of an ammeter calculated when combining two resistances in parallel?
How is the total resistance of an ammeter calculated when combining two resistances in parallel?
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What kinetic energy comparison exists between an alpha particle and a proton?
What kinetic energy comparison exists between an alpha particle and a proton?
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What is the significance of the charge and mass ratio when determining the radius of circular paths of particles in a magnetic field?
What is the significance of the charge and mass ratio when determining the radius of circular paths of particles in a magnetic field?
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Calculate the radius of the circular path of an electron with energy 45 eV in a magnetic field of intensity 9 x 10^5 Wb/m^2.
Calculate the radius of the circular path of an electron with energy 45 eV in a magnetic field of intensity 9 x 10^5 Wb/m^2.
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What does Fleming’s left-hand rule represent regarding the motion of charged particles?
What does Fleming’s left-hand rule represent regarding the motion of charged particles?
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For particles entering a magnetic field with the same energy, how do the kinetic energies of a proton, deuteron, and alpha particle compare?
For particles entering a magnetic field with the same energy, how do the kinetic energies of a proton, deuteron, and alpha particle compare?
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If the radius of the circular path of a proton is 10 cm in a magnetic field, what would be the radii for a deuteron and an alpha particle?
If the radius of the circular path of a proton is 10 cm in a magnetic field, what would be the radii for a deuteron and an alpha particle?
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How do you calculate the ratio of periodic time for a proton and an alpha particle in a magnetic field?
How do you calculate the ratio of periodic time for a proton and an alpha particle in a magnetic field?
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What is the expression used to find the radius of a charged particle moving in a magnetic field?
What is the expression used to find the radius of a charged particle moving in a magnetic field?
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Explain how the mass and kinetic energy of a charged particle affect its radius in a magnetic field.
Explain how the mass and kinetic energy of a charged particle affect its radius in a magnetic field.
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Describe the factors that determine the direction of the force on a charged particle in a magnetic field according to Fleming’s left-hand rule.
Describe the factors that determine the direction of the force on a charged particle in a magnetic field according to Fleming’s left-hand rule.
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What does Fleming's Left Hand Rule represent?
What does Fleming's Left Hand Rule represent?
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How do you calculate the magnetic force on a charged particle in a magnetic field?
How do you calculate the magnetic force on a charged particle in a magnetic field?
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Define a solenoid and its function.
Define a solenoid and its function.
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What is the significance of the angle of entry of a charged particle in a magnetic field?
What is the significance of the angle of entry of a charged particle in a magnetic field?
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Explain the nature of the path of a charged particle moving perpendicular to both electric and magnetic fields.
Explain the nature of the path of a charged particle moving perpendicular to both electric and magnetic fields.
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Calculate the radius of the helical path for an electron in a 0.3 tesla magnetic field at an angle of 60° with a speed of $4 \times 10^5$ m/s.
Calculate the radius of the helical path for an electron in a 0.3 tesla magnetic field at an angle of 60° with a speed of $4 \times 10^5$ m/s.
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What happens to the magnetic force on a charged particle when the magnetic field and velocity are parallel?
What happens to the magnetic force on a charged particle when the magnetic field and velocity are parallel?
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What role does the number of turns in a solenoid play in its magnetic field strength?
What role does the number of turns in a solenoid play in its magnetic field strength?
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Study Notes
Magnetic Fields and Charged Particles
- A charged particle moving in a magnetic field will follow a straight path if the field and velocity are parallel. If perpendicular, a circular path results.
- Fleming's left-hand rule dictates the direction of force on a moving charged particle in a magnetic field.
- The magnitude of the force is calculated using the formula F = qvBsinθ, where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between v and B.
Solenoids
- A solenoid is a coil of wire wound in a helical manner.
- It produces a uniform magnetic field inside.
- The magnitude of the magnetic field inside a solenoid is given by the formula B = μ₀nI, where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current.
Magnetic Field at the Center of a Current Loop
- The magnetic field at the center of a circular current loop is given by the formula B = μ₀I/2R, where μ₀ is the permeability of free space, I is the current, and R is the radius of the loop.
Magnetic Field on Axis of a Current Loop
- The magnetic field at a point on the axis of a current loop is calculated using the formula B = (μ₀I R²)/2(R² + x²)^3/2, where μ₀ is the permeability of free space, I is the current, R is the radius of the loop, and x is the distance from the center of the loop to the point on the axis.
Path of a Charged Particle in Combined Fields
- The path will be a helix if an electric and a magnetic field are both perpendicular to the direction of the velocity.
Specific Charge of an Electron
- Specific charge (e/m) can be calculated using the formula e/m = 2y v2 / Ex2, where:
- y = deflection in the y-direction
- v = initial velocity of the electron
- E = electric field strength
- x = distance the electron moves in the x-direction.
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Description
This quiz covers the principles of magnetic fields and their interaction with charged particles. Key topics include the motion of charged particles in magnetic fields, Fleming's left-hand rule, solenoid properties, and magnetic field calculations for currents. Test your understanding of these essential concepts in physics.