1 a 2.4 x 10-2 N; west
b 4.5 A; cast to west
c 0.20 T; vertically down
d 8.0 x 10-3 N; due south
2 a a 22 mN due east
b b 4.0 A west to east
3 Short sides; zero, long sides; 2.72 N vertically up on one side and vertically down on the other side
4 a the magnitude of the Earth magnetic field at this position,
58 μT
b the magnitude and direction of the force on a vertical wire of length 0.90 m carrying a current of 4.5 A downwards.
6.5 x 10-5 N due east
1 i 1.9 x 10-13 N
ii 0
2
3.8 x 10-23 N horizontal due East
4 a Explain why a potential difference is created across the semiconductor as a result of the application of the magnetic field.
b When the magnetic flux density was 90mT, each electron moving through the slice experiences a force Of 6.4 x N due the magnetic field.
i 4.4ms-1
ii 8.5 x 10-20 N
1 a i Explain why the electrons move on a circular orbit. Calculate the radius of the orbit.
b 2.8 mT
2 a 4.7mT
b 17.5 mm
3 a
b 1.2 MeV
4 a
8.0 x 106 c kg-1
b 1.4 x 107 c kg-1
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1 (a)
The units of the quantities are:
Force F: newton (N)
Current I: ampere (A)
Magnetic flux density B: tesla (T) or weber metre-2 (Wb m-2)
Length l of wire in field: metre (m)
The equation F = BIl applies only when the magnetic field is directed at right angles to the direction of the current.
(b)
(i) density of copper 8.9 x 103kgm-3.
Mass m of bar
= (25 × 10-3)2 × 8900 × l
= 5.56 l
Weight mg of bar = 5.56l × 9.81 = 54.6l
Magnetic force = weight of bar
∴ mg = BIl
BIl = 54.6l gives
(ii)
2
(a) (i)
(ii)
Force on X due to Y:
Force on Y due to X:
(b) (i)
(ii)
The amplitude of vibration could be reduced by:
3 (a)
(i)
The force on the ion is directed out of the plane of the page.
(ii)
In a magnetic field the ion moves in a circular path…in a horizontal plane (or out of the plane of the page).
The force equation for the circular motion is
(b) (i) The strength of the magnetic field is doubled.
(ii)
When magnetic field strength is doubled
When a single charged ion is used
4
(a) (i)
The flux density of a magnetic field is 1 tesla if a 1 metre length of wire carrying a current of 1 ampere experiences a magnetic force of 1 newton when placed in the field…in such a way that the magnetic field is at right angles to the current.
(ii)
Within the velocity selector, magnetic force on
ion = electric force on ion
∴ BQv = EQ
In this equation Q cancels, giving
Bv = E, and velocity of ions v =E/V
meaning that v does not depend on Q.
(iii)
(b) (i)
5
(a)
(b)
Since the particles follow the same path, the radius of curvature r is the same.
They have the same momentum because r ∝ mv when B and Q are the same. mv is the same, but m is different for the antiproton and the negative pion,
∴ v must be different.
(c)
Identify correct format for both particles:
antiproton: 3 antiquarks
negative pion: quark + antiquark
antiproton: 2 up antiquarks +1 down antiquark ( u , u , d )
negative pion: 1 up antiquark + 1 down quark ( u , d )
The magnetic field is directed into the plane of the page
(ii)
The magnetic field is directed at right angles to the velocity of the ions.
(iii)
(b)
(c)
Relevant points include:
(i) Ions have a different mass.
Diameter d of path ∝ mass m of ion.
Due to isotopes of the same element.
(ii) Ions are doubly ionised.
Diameter d of path ∝ 1/Q; if Q is doubled then d is halved.
7 (a)
(b)
As the kinetic energy of the protons increases, the magnetic flux density has to increase…because in a path of constant radius (using the same charged particles) magnetic flux
density B ∝ v
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