Question

An electric field E exerts a force F on an ion of charge q. At right angles to the electric field is a magnetic field B. a. Write an equation for the speed of the ion if the electric and magnetic forces are equal and opposite. b. Calculate the speed if the charge of the ion is 1.6E-19 C, the electric field is 6.0E6 N/C, and the magnetic field is 0.83 T. c. If the charge were twice as great, what strength of the magnetic field would result in a straight line path? d. If the ion had instead double the mass, what strength of the magnetic field would result in a straight line path?

Answer #1

a)

From the Lorentz force equation

Thus the speed does not depend upon the charge. It depends upon the
electric field E and the magnetic field B.

b)

Given, E = 6 E6 N/C, and B = 0.83 T, we get

c)

Straight line path implies the cancellation of the electric and
magnetic forces. And this further implies

As this is independent of the charge, so, even if the charge is
doubled, the magnetic field is the same as before for the above
equation to hold.

d)

Again the above expression is independent of the mass. So, even if
the mass is doubled, the magnetic field is same as before for the
above equation to hold.

Find the Electric Field originating from the disk of radius R
and charge Q at the distance z above its centre. Use this result to
obtain expression for the electric field at distance ze from the
infinite plane. Use opposite side of this page for your solution.
Make sure that you include the large diagram with clearly stated
variables, angles etc

5. A positive test charge of 5.0×10-6 C is in an electric
field that exerts a force of 2.0×10-4 N to the right on it. What is
the magnitude and direction of the electric field at the location
of the test charge?
6. A negative charge of 2.0×10-8 C experiences a force of
0.060 N to the right in an electric field. What are the field’s
magnitude and direction at that location?
7. A positive charge of 3.0×10-7 C is...

A positive charge particle ?enters a region with both a uniform
electric field? and magnetic field ?. If the direction of ?is
parallel to ?, the path of the particle will be
A. circle B. parabolaC. helix D. sinusoidal E. straight line

A positively charged ion travelling with charge equivalent to
1e and mass 3.17 x 10^−26 kg is accelerated in a vacuum between two
parallel plates with a potential difference of 5.00 x 10^2 V
between
them. The ions move into a uniform external field wirh a
strength of 0.2T
a) determine the speed of the ion as it leaves the parallel
plates
b) determine the magnetic force (mag and dir) experienced by
the ion as it enters the magnetic field...

A point charge q is moving in uniform electric field (E0 in the
z-direction) and uniform magnetic field (B0 field in the
x-direction). (i) What is the force acting on the charge particle?
Find equations of motion for the charge particle. (ii) Assume that
initially the charge is placed the origin and has initial velocity
(E0/2B0) in the y-direction. Determine position and velocity of the
charge particle as a function of time. (iii) Find the trajectory of
the particle and...

A point charge moving in a magnetic field of 1.27 Tesla
experiences a force of 0.630·10-11 N. The velocity of the charge is
perpendicular to the magnetic field. In this problem, we use the
points of the compass and `into' and `out of' to indicate
directions with respect to the page. If the magnetic field points
south and the force points out of the page, then select True or
False for the charge Q.
a. Q is negative, moving west....

1.A particle of charge q and mass m experiences a uniform
electric field E. If the particle starts at rest, find
(a) its speed after it has travelled a distance d and
(b) the magnitude of the electric potential difference through
which it passed
2. Find the electric field of a uniformly charged solid sphere
both inside and outside the sphere if the total charge is Q0 and
the radius of the sphere is d.

A point charge moving in a magnetic field of 1.30 Tesla
experiences a force of 0.853·10-11 N. The velocity of
the charge is perpendicular to the magnetic field. In this problem,
we use the points of the compass and `into' and `out of' to
indicate directions with respect to the page.
1.) If the magnetic field points west and the force points out
of the page, then select True or False for the charge Q.
True False Q is negative,...

A stationary particle of charge q = 2.2 × 10-8 C is placed in a
laser beam (an electromagnetic wave) whose intensity is 2.5 × 103
W/m2. Determine the maximum magnitude of the (a) electric and (b)
magnetic forces exerted on the charge. If the charge is moving at a
speed of 3.7 × 104 m/s perpendicular to the magnetic field of the
electromagnetic wave, find the maximum magnitudes of the (c)
electric and (d) magnetic forces exerted on the...

A stationary particle of charge q = 2.5 × 10-8 C is
placed in a laser beam (an electromagnetic wave) whose intensity is
2.6 × 103 W/m2. Determine the maximum
magnitude of the (a) electric and
(b) magnetic forces exerted on the charge. If the
charge is moving at a speed of 3.7 × 104 m/s
perpendicular to the magnetic field of the electromagnetic wave,
find the maximum magnitudes of the (c) electric
and (d) magnetic forces exerted on the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 41 minutes ago

asked 42 minutes ago

asked 47 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago