Magnetism and Magnetic Fields

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Questions and Answers

Which of the following statements accurately describes the behavior of magnetic poles?

  • Only north poles attract each other.
  • Magnetic poles do not interact with each other.
  • Like poles repel, and unlike poles attract. (correct)
  • Like poles attract, and unlike poles repel.

What distinguishes hard magnets from soft magnets regarding their magnetism?

  • Soft magnets require an external magnetic field to function.
  • Hard magnets only function at high temperatures.
  • Hard magnets lose their magnetism quickly, while soft magnets retain it.
  • Hard magnets retain their magnetism, while soft magnets lose it over time. (correct)

What best describes a magnetic field line?

  • A line that is perpendicular to the direction of the electrical field.
  • A line along which a small test charge would experience no force.
  • A line representing the gravitational pull on magnetic materials.
  • A line that is tangent to the direction of the magnetic field at any point. (correct)

According to the right-hand grip rule, if you are holding a current-carrying wire in your right hand with your thumb pointing in the direction of the conventional current, what do your fingers indicate?

<p>The direction of the magnetic field around the wire. (A)</p> Signup and view all the answers

What is the effect on the magnetic field when a wire is formed into a loop, compared to a straight wire carrying the same current?

<p>The magnetic field strength is enhanced at a specific location. (A)</p> Signup and view all the answers

In the context of a solenoid, what does the right-hand grip rule help determine?

<p>The direction of the magnetic field inside the solenoid. (B)</p> Signup and view all the answers

What is the fundamental principle underlying the creation of magnetic fields?

<p>Moving electric charges. (B)</p> Signup and view all the answers

According to Fleming's left-hand rule, what physical quantity is indicated by the thumb?

<p>Direction of the force on the conductor. (C)</p> Signup and view all the answers

In Fleming's left-hand rule, which finger indicates the direction of the magnetic field?

<p>The index finger. (B)</p> Signup and view all the answers

Under what condition will a current-carrying conductor placed in an external magnetic field NOT experience a force, according to Fleming's left-hand rule?

<p>When the conductor is parallel or anti-parallel to the magnetic field. (D)</p> Signup and view all the answers

What adjustment is necessary when applying Fleming's left-hand rule to determine the force on a negative charge moving in a magnetic field?

<p>The force is in the opposite direction to that predicted by the rule. (A)</p> Signup and view all the answers

What does the angle $\theta$ represent in the formula $F = qvB\sin\theta$ for the force on a single charge in a magnetic field?

<p>The angle between the velocity of the charge and the magnetic field. (B)</p> Signup and view all the answers

Under what condition is the force on a moving charge in a magnetic field maximized, assuming all other factors remain constant?

<p>When the charge moves perpendicular to the magnetic field. (A)</p> Signup and view all the answers

A wire carrying a current of 2 A is placed in a uniform magnetic field of 0.5 T. If the wire is 50 cm long and positioned perpendicular to the magnetic field, what is the magnitude of the force acting on the wire? Use the formula $F = ILB\sin\theta$.

<p>0.5 N (D)</p> Signup and view all the answers

What is the magnetic moment ($\mu$) defined as for a current-carrying loop?

<p>The product of the current and the area of the loop. (D)</p> Signup and view all the answers

What are the SI units for magnetic moment?

<p>Ampere-meter squared (Am²) (C)</p> Signup and view all the answers

If a circular loop with a radius of 0.1 m carries a current of 2 A, what is the magnetic moment of the loop, given that the area of a circle is $\pi r^2$?

<p>0.02π Am² (A)</p> Signup and view all the answers

How is the concept of magnetic moment utilized in Magnetic Resonance Imaging (MRI)?

<p>By utilizing the net magnetic dipole moment of protons in the body. (C)</p> Signup and view all the answers

What is the significance of a proton's spin in the context of magnetic moment?

<p>It generates a magnetic dipole moment. (D)</p> Signup and view all the answers

A proton moves with a velocity of $2 \times 10^6$ m/s perpendicularly through a magnetic field of 1.5 T. Calculate the force on the proton, given that the charge of a proton is $1.6 \times 10^{-19}$ C. Use the formula $F = qvB\sin\theta$.

<p>$4.8 \times 10^{-13}$ N (B)</p> Signup and view all the answers

A straight wire of length 2 m carries a current of 5 A in a region where the magnetic field is 0.8 T. If the angle between the wire and the magnetic field is 30 degrees, determine the magnitude of the magnetic force acting on the wire. Use the formula $F = ILB\sin\theta$.

<p>4 N (C)</p> Signup and view all the answers

A current-carrying wire lies in a magnetic field. If the current direction is reversed, what happens to the direction of the magnetic force on the wire?

<p>The force magnitude remains the same, but its direction reverses. (C)</p> Signup and view all the answers

Two identical current loops are placed next to each other. If the currents in both loops flow in the same direction, do the loops attract or repel each other?

<p>Attract (B)</p> Signup and view all the answers

In the context of magnetic materials, what does it mean for a material to be 'ferromagnetic'?

<p>The material is strongly attracted to magnetic fields and can be magnetized (A)</p> Signup and view all the answers

Flashcards

What are magnets?

Materials that produce magnetic fields due to the alignment of their atomic structure.

Properties of magnets

Magnets attract ferromagnetic materials and align with the Earth's magnetic field.

What is a magnetic field?

A region of space where magnetic forces can be felt.

Right Hand Grip Rule

Use your right hand, point your thumb in the direction of the current, and curl your fingers. Your fingers show the direction of the field.

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Magnetic field of current carrying loop

Current carrying loop enhances the strength of a magnetic field at a specific location.

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What is a solenoid?

A coil whose length is much longer than its radius.

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What causes magnetism?

The fundamental nature of magnetism and magnetic fields is moving electric charge.

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What is Fleming's Left Hand Rule?

Use your left hand. Thumb is the direction of Force, index finger is the Magnetic field, and middle finger is the direction of current.

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Force on conductor in external field

A current-carrying conductor in an external magnetic field experiences a force unless parallel/anti-parallel to the field.

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Force on a charge in magnetic field

F = qvBsinθ, where F is the force, q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle.

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Force on current-carrying conductor

F = ILBsinθ, where F is force, I is current, L is length, B is the magnetic field strength, and θ is the angle.

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What is Magnetic moment?

The strength of the magnetic dipole. Defined as: µ = IA, where I is current and A is area.

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Application of magnetic moment

Utilized when examining the net magnetic dipole moment of protons in the body.

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Study Notes

  • Magnets are materials that produce magnetic fields
  • Naturally occurring magnetic materials are magnetized when exposed to the earth's magnetic field for long periods

Hard Magnets

  • Retain their magnetism
  • Example: magnetite

Soft magnets

  • Lose their magnetism over time
  • Example: iron

Properties of Magnets

  • Like poles repel, unlike poles attract
  • Magnets attract ferromagnetic materials like iron, steel, nickel, and cobalt and induce magnetism in them
  • Magnets align with the earth's magnetic field

Magnetic Field (B)

  • Defined as a region of space where magnetic forces can be felt
  • A magnetic field line is drawn in a magnetic field so that the tangent to it at that point shows the direction of the magnetic field
  • The magnetic force of a magnet is greatest at the poles
  • As lines per area increases, force increases

Right Hand Grip Rule

  • Used for determining the magnetic field of a current-carrying conductor
  • The thumb points in the direction of conventional current
  • Fingers curl in the direction of the magnetic field (North)

Magnetic Field Enhancement

  • The strength of a magnetic field is enhanced at a specific location when a wire is formed into a loop

Solenoid

  • A coil whose length is much longer than its radius
  • Can use the right hand grip rule for a solenoid
  • Fingers curl in the direction of conventional current
  • The thumb points in the direction of the magnetic field (North)

Magnetism

  • The fundamental nature of magnetism and therefore magnetic fields involves moving electric charges (positive and negative) or multiple charges in current
  • Magnetic forces are felt when moving charges or current produce a magnetic field, and a second charge or current interacts with this external magnetic field

Fleming's Left Hand Rule

  • A current-carrying conductor or a charged particle in an external magnetic field experiences a force unless the conductor or particle is parallel/anti-parallel to the magnetic field
  • Thumb indicates the direction of force (F), the index finger the magnetic field (B), and the middle finger the velocity (V) or conventional current (I)
  • If the charge is negative, the force is antiparallel

Force Size on a Charge in an External Magnetic Field

  • Described by the formula: F = qvBsinθ
  • Where:
    • F = force, measured in Newtons (N)
    • q = total number of charges, measured in Coulombs (C)
    • v = drift velocity, measured in meters per second (ms⁻¹)
    • B = magnetic field strength, measured in Tesla (T) or Weber per square meter (Wb m⁻²)
    • θ = angle between the direction of the charge and the magnetic field
  • Maximum force occurs when θ = 90° (perpendicular)
  • Zero force occurs when θ = 0° (parallel/antiparallel)

Force Size on a Current-Carrying Conductor in an External Magnetic Field

  • Described by the formula: F = ILBsinθ
  • Where:
    • F = force, measured in Newtons (N)
    • I = conventional current, measured in Amperes (A)
    • L = length of the conductor, measured in meters (m)
    • B = magnetic field strength, measured in Tesla (T) or Weber per square meter (Wb m⁻²)
    • θ = angle between the direction of the current and the magnetic field
  • Maximum force is when θ = 90° (perpendicular)
  • Zero force is when θ = 0° (parallel/antiparallel)

Magnetic Moment/Magnetic Dipole Moment

  • A current-carrying loop sets up its own magnetic field and behaves as a magnetic dipole
  • The strength of the magnetic dipole is determined by the magnetic dipole moment (µ), a vector quantity with SI units of Am²
  • The formula is µ = IA
    • Where I = current, measured in Amperes (Amp)
    • A = area of the loop, measured in square meters (m²)
  • This concept extends to any current confined to a circular path.
  • A proton, being a hydrogen nucleus or a hydrogen ion (H⁺), exhibits this behavior.
  • The net magnetic dipole moment of protons in the body is used in Magnetic Resonance Imaging (MRI)

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