Magnetism and Motion of Charged Particles (4C)
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QUESTION
State the magnitude of the magnetic field at distance
r
r
r
from a long straight wire carrying current
I
I
I
.
QUESTION
State the formula for the magnetic force magnitude on a straight wire of length
L
L
L
carrying current
I
I
I
.
QUESTION
Identify the relationship between
F
⃗
\vec{F}
F
and
v
⃗
\vec{v}
v
for magnetic forces on a moving charge.
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ANSWER
F
⃗
⊥
v
⃗
\vec{F}\perp\vec{v}
F
⊥
v
(magnetic force does no work). The magnetic force is always perpendicular to velocity due to the cross product, ensuring zero work done as
F
⃗
⋅
v
⃗
=
0
\vec{F}\cdot\vec{v}=0
F
⋅
v
=
0
.
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