Question

Assume the motions and currents mentioned are along the x axis and fields are in the y direction. (a) does an electric field exert a force on a stationary charged object? yes no (b) does a magnetic field do so? yes no (c) does an electric field exert a force on a moving charged object? yes no (d) does a magnetic field do so? yes no (e) does an electric field exert a force on a straight current-carrying wire? yes no (f) does a magnetic field do so? yes no (g) does an electric field exert a force on a beam of moving electrons? yes no (h) does a magnetic field do so? yes no

Answer 1

 (a) does an electric field exert a force on a stationary charged object? 
Yes. The force exerted by an electric field of intensity E on an object with charge q is
$F=qE$
As we can see, it doesn't depend on the speed of the object, so this force acts also when the object is stationary.

(b) does a magnetic field do so?
No. In fact, the magnetic force exerted by a magnetic field of intensity B on an object with  charge q and speed v is
$F=qvB \sin \theta$
where $\theta$ is the angle between the direction of v and B.
As we can see, the value of the force F depends on the value of the speed v: if the object is stationary, then v=0, and so the force is zero as well.

(c) does an electric field exert a force on a moving charged object? 
Yes, The intensity of the electric force is still
$F=qE$
as stated in point (a), and since it does not depend on the speed of the charge, the electric force is still present.

(d) does a magnetic field do so?
Yes. As we said in point b, the magnetic force is
$F=qvB \sin \theta$
And now the object is moving with a certain speed v, so the magnetic force F this time is different from zero.

(e) does an electric field exert a force on a straight current-carrying wire?
Yes. A current in a wire consists of many charges traveling through the wire, and since the electric field always exerts a force on a charge, then the electric field exerts a force on the charges traveling through the wire.

(f) does a magnetic field do so? 
Yes. The current in the wire consists of charges that are moving with a certain speed v, and we said that a magnetic field always exerts a force on a moving charge, so the magnetic field is exerting a magnetic force on the charges that are traveling through the wire.

(g) does an electric field exert a force on a beam of moving electrons?
Yes. Electrons have an electric charge, and we said that the force exerted by an electric field is
$F=qE$
So, an electric field always exerts a force on an electric charge, therefore on an electron beam as well.

(h) does a magnetic field do so?
Yes, because the electrons in the beam are moving with a certain speed v, so the magnetic force
$F=qvB \sin \theta$
is different from zero because v is different from zero.

Answer 2

Yes. an electric field of intensity E exerts a force on an item with charge q. As we can see, it is independent of the object's speed, so this force operates even when the object is stationary.

What is an electric field?

It is a physical field occupied by a charged particle on another particle in its surrounding. It is denoted by E.It is an invisible field.

(a) Does an electric field exert a force on a stationary charged object?

Yes. an electric field of intensity E exerts a force on an item with charge q. As we can see, it is independent of the object's speed, so this force operates even when the object is stationary.

(b) does a magnetic field do so?

No, the magnetic force exerted by a magnetic field of intensity B on an item with charge q and speed v is equal to the magnetic force exerted by a magnetic field of intensity B on an object with charge q and speed v.

(c) does an electric field exert a force on a moving charged object?

Yes, the electric force's intensity is still high. The electric force is still present, as indicated in point (a), and it is independent of the charge's speed.

(d) does a magnetic field do so?

The item is now traveling at a particular speed v, the magnetic force F is no longer zero.

(e) does an electric field exert a force on a straight current-carrying wire?

Yes. Because the electric field constantly exerts a force on a charge, the electric field also exerts a force on the charges passing through the wire.

(f) does a magnetic field do so?

The current in the wire is made up of charges traveling at a constant v, and since a magnetic field always imposes a force on a moving charge,

the magnetic field is imposing a magnetic force on the charges going through the wire.

(g) does an electric field exert a force on a beam of moving electrons?

Electrons have an electric charge, and we already said that an electric field exerts a force. As a result, an electric field always exerts a force on an electric charge, and hence on an electron beam.

(h) does a magnetic field do so?

Yes, because the electrons in the beam move at a constant speed v, the magnetic force is constant. The Megnetic field is not equal to zero because v is not equal to zero.

Hence an electric field of intensity E exerts a force on an item with charge q. As we can see, it is independent of the object's speed, so this force operates even when the object is stationary.

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