Question

- A proton is accelerated through a potential difference of 10 kV and enters a uniform magnetic field at right angles. Calculate the value of the magnetic flux density necessary to move the proton in a circular path of radius 10 mm. [6]

- A piece of wire of cross-sectional area A and resistivity ρ is bent into a circular loop of radius r and placed in a magnetic field with its plane at right angles to the field. Determine the magnitude of the current in the loop if the field is reduced to zero in time t. [5]

- A 40 μF capacitor is charged to a voltage of 120 V. How much work must be done to transfer 60 μC from the negative plate to the positive? [5]

- A point charge of magnitude +q and speed v is located at a distance d from a long straight wire carrying a current I.

(a) Determine the magnitude of the force on the charge if it is moving directly towards the wire. [3]

(b) Is the direction of the force parallel or anti-parallel to the wire? Use a fully labeled sketch to motivate your answer. [3]

Answer #1

A proton, a deuteron, and an α-particle are accelerated from
rest through a potential difference, ∆V = 30 kV. They
enter a region containing a uniform magnetic field of strength B =
0.25 T. The particles move parallel to each other
and perpendicular to B~ .
(a) Compute the kinetic energy of each particle. Which is largest?
Which is smallest? By what factor?
(b) Compute the radius of each particle’s cyclotron orbit.
(c) Critical Thinking. Is this setup effective for...

Electrons are accelerated from rest through a potential
difference of 350 V and then enter a uniform magnetic field that is
perpendicular to the velocity of the electrons. The electrons
travel along a curved path with the radius of 7.5 cm, because of a
magnetic force.
a. What is the magnitude of the magnetic field?
b. Estimate the period of this circular path?
c. What is the angular speed of the electrons?
d. If protons are used instead of electrons,...

(a) Singly charged uranium-238 ions are accelerated through a
potential difference of 2.50 kV and enter a
uniform magnetic field of 1.30 T directed
perpendicular to their velocities. Determine the radius of their
circular path.
(ANSWER) cm
(b) Repeat for uranium-235 ions.
(ANSWER) cm

In the figure, an electron accelerated from rest through
potential difference V1=1.39 kV enters the gap between two parallel
plates having separation d = 22.1 mm and potential difference V2=
98.7 V. The lower plate is at the lower potential. Neglect fringing
and assume that the electron's velocity vector is perpendicular to
the electric field vector between the plates. In unit-vector
notation, what uniform magnetic field allows the electron to travel
in a straight line in the gap?

A time-varying magnetic field is perpendicular to the plane of a
circular loop of diameter 10 cm made with wire of diameter 3.4 mm
and resistivity 2.07 × 10-8?·m.
The magnetic field increases as a function of time, with magnitude
B = (0.79 t) T/s
a) What is the magnitude of the emf induced in the loop?
b) What is the value of the current through the loop?
c) At what rate does energy appear as thermal energy in the...

A beam of protons is accelerated through a potential difference
of 0.750kV and then enters a uniform magnetic field traveling
perpendicular to the field.
a.What magnitude of field is needed to bend these protons in a
circular arc of diameter 1.74m ?
b.What magnetic field would be needed to produce a path with the
same diameter if the particles were electrons having the same speed
as the protons?

1. An electron is to be accelerated in a uniform electric field
having a strength of 8 ×106 V/m . What energy in keV is
given to the electron if it is accelerated through 0.8 m
2. What capacitance is needed to store 6.14 μC of charge at a
voltageof 120 V? Give answer in terms of 10-8 F
3. In open heart surgery, a much smaller amount of energy will
defibrillate the heart. Heart defibrillators store 39 J of...

11.- A proton accelerated from rest by a potential difference
acquires a speed of 5000 m / s with which it enters a region in
which there is a uniform magnetic field of 0.5 T perpendicular to
the direction in which it moves the proton.
a. Make a diagram of the forces and trajectory of the proton.
b. Determine the radius of the circular trajectory that the proton
follows within this region.
c. Determine the time it takes to complete...

A
beam of electrons is accelerated through a potential difference of
10 kV before entering a velocity selector. If the B-field of the
velocity selector has a value of .010 T, what value of the E-field
is required if the particles are to be undeflected?
I have the answer. It is 5.9 x 10^5 V/m. Please thouroughly
explain how to get to this answer and what undeflected means.

A magnetic field, strength 3T, has a direction out of the page.
A loop of wire sits in the field and on the plane of the page (area
vector of loop is out of page). The loop is much smaller than the
extent of the field. The magnetic field starts to slowly change at
a rate of -0.0001T/s. Looking down on the loop, which statement is
correct?
A. Magnetic flux out of page decreasing; anti-clockwise current
induced in loop
B....

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