A proton beam that carries a total current of 3.09m A has 3.78mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = Jo 1/2 where R is the radius of the beam and Jo is the current density at the edge of the beam. Determine the value of J₁ (in A/m²).
A proton beam that carries a total current of 3.09m A has 3.78mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = Jo 1/2 where R is the radius of the beam and Jo is the current density at the edge of the beam. Determine the value of J₁ (in A/m²).
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Question
A proton beam that carries a total current of 3.09m.A has 3.78mm diameter. The current density in the proton beam increases linearly with distance
from the center. This is expressed mathematically as
J）=1元，
where R is the radius of the beam and Jo is the current density at the edge of the beam.
Determine the value of Jo (in A/m?).
Show all work and look at correct answer
Transcribed Image Text:Draw a picture
Label which directions
are positive (x- and
y-), and label relevant
quantities on diagram
Find a second
equation...
...if you're missing a
quantity needed to use
an equation. Draw up a
plan on how to link the
equations & quantities
Solve for the
quantity without
using numbers
Physics Problem Flow Chart
Draw a
second
picture...
Identify
explicitly given
values
First cancel any quantities that
are zero. Use algebra to isolate
the quantity you need on one
side of the equals sign. Check
with dimensional analysis
...if you have
BEFORE/AFTER
situations, force
additions, vector
component diagrams
Find relevant
equation(s)
One that links the given
quantities to the quantity
you need to find
Sub in
numbers on
paper
Make sure units of
each number are
correct before you
substitute in values
into the equations
Write all given actual
numbers in terms of
variables. For previously
calculated values, use values
before rounding for sig figs
Identify required
quantity and
type of problem
Look for keywords like
"when", "how far", "how
fast", etc. Get type of
problem from quantities
given/sought
Use calculator
to find value
Use as few presses of
the "=" or "ENTER"
button as possible.
Keep extra sig figs until
next step
Identify
implicitly given
values
Wording that implies
specific values: e.g. "at
rest", "comes to a stop",
"dropped", "smooth
surface", "constant velocity"
Calculate/convert
easily derived
quantities
For example, the x- and y-
components of
velocity/force vectors, or the
force of gravity given the
mass
Write conclusion
statement with
correct sig figs
In plain English with
correct units
Transcribed Image Text:You Answered
Correct Answer
A proton beam that carries a total current of 3.09m A
has 3.78mm diameter. The current density in the proton beam increases
linearly with distance
from the center. This is expressed mathematically as
J(r) = Jo 1/2
where R is the radius of the beam and Jo is the current density at the
edge of the beam.
Determine the value of Jo (in A/m²).
59.014
413.0249 margin of error +/- 1%
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