An electric charge q moving with a constant velocity v enters perpendicularly in a region of a uniform magnetic field B.The magnitude of magnetic force experienced by the charge is
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Answer:
ExplanationForce due to both electric and magnetic forces will influence the motion of charged particles. However, the resulting change to the trajectory of the particles will differ qualitatively between the two forces. Below we will quickly review the two types of force and compare and contrast their effects on a charged particle.
Electrostatic Force and Magnetic Force on a Charged Particle
Recall that in a static, unchanging electric field E the force on a particle with charge q will be:
F
=
qE
Where F is the force vector, q is the charge, and E is the electric field vector. Note that the direction of F is identical to E in the case of a positivist charge q, and in the opposite direction in the case of a negatively charged particle. This electric field may be established by a larger charge, Q, acting on the smaller charge q over a distance r so that:
E
=
∣
∣
F
q
∣
∣
=
k
∣
∣
qr
2
∣
∣
=
k
|
Q
|
r
2
It should be emphasized that the electric force F acts parallel to the electric field E. The curl of the electric force is zero, i.e.:
▽
×
E
=
0
A consequence of this is that the electric field may do work and a charge in a pure electric field will follow the tangent of an electric field line.
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