Topic 3B - Magnetic Fields Flashcards

1
Q

Define the term Magnetic Field

A

A region in space where a particle experience a force due to it’s magnetic condition

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2
Q

Explains what forms magnetic field and compare this to the formation of electric fields

A

Magnetic field are formed by moving electric charges and hence by electric currents.
In comparison, electric fields are formed by static charged particles.

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3
Q

What is conventional current?

A

The flow of positive particles. Opposite to the flow of the negative particles.
Conventional current is the standard units.

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4
Q

State the direct of a magnetic field

A

The direction that the north pole of a small compass would point if placed in the field.
i.e. north to south

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5
Q

Describe the field inside a solenoid

A

The field inside a solenoid is uniform. If the flow of the current around the solenoid is given, the location of the north pole of a solenoid can be found using the right-hand grip rule or vice versa

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6
Q

State the equation that can be used to find the magnitude of a magnetic field around a straight current carrying wire.

Do one question

A

B = u/2pi I/r

Units = Tesla (T)
u/2pi = 2 x 10^-7
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7
Q

Define the magnitude of magnetic field

A

The force per unit current element

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8
Q

Write equation for force on current carrying wire when place in an external magnetic field.

Do one question

A

F = I (delta)L B sin0

where 0 is the angle of the wire to the external field

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9
Q

What rule can be used find the direction of force on a current carrying wire in a field

A

Right-hand slap rule
Fingers - direction of external B
Thumb - direction of conventional current in the wire
Palm - direction of force on the wire

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10
Q

Describe the equation that gives the force on a charged particle in the B field.

A

F = q v B sin0

where 0 is the angle between the particle’s direction of motion and the external magnetic field

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11
Q

Describe and explain what occurs when a particle enters a B field at 90 degrees to the field.

A

When a particle enters a magnetic field at 90 degrees to the field it experiences a force perpendicular to its velocity. When a particle experience a constant force perpendicular to its motion it undergoes uniform circular motion. Therefore, the particle will move in a circle.

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12
Q

Derive the equation for the radius of the uniform circle motion of a particle in a B field.

A

F(B) = F(c)

q v B sin0 = m v^2 / r
sin90 = 1

q v B = m v^2 / r

q B = mv/r
r = mv/ qB

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13
Q

Describe the force on partciel travelling parallel or antiparallel to the B field.

A

The magnetic field will have no impact on this particle as sin0 = 0.

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14
Q

What are cyclotrons?

A

They are particle accelerators and are used for scientific research, industrial and medicinal purposes.

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15
Q

Derive the period of a particles revolution in a cyclotron.

What does this equation tells us about the period?
Explain this.

A

Sub V = 2pi x r / T

into the radius equation r = mv / qB

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16
Q

How to calculate the velocity of particle as it exits the magnetic field ?

A

1st calculate the work done in moving a particle through the electric field

2nd multiply the work by double the amount of revolutions as it will pass through the E field twice per revolution

3rd equate the total work done to the kinetic energy equation and solve for v

17
Q

Derive the Kinetic energy equation for particles in a cyclotron

A

Ek = 1/2 mv^2 v = r q B / m

Sub v into Ek and solve