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4 years ago

May I please have some help with finding the slope in this graph?

Physics

1 answer:

Kisachek [45]4 years ago

8 0

The slope is always

   (the change in 'y')
divided by
   (the change in 'x') .

This line is so easy ... it crosses all the corners of the boxes,
so you have tons of choices of what 2 points to pick.
But let's just pick the ends of the line.

From the beginning to the end of the line:

-- the change in 'y' is 4 meters

-- the change in 'x' is 40 seconds

Slope = (the change in 'y') divided by (the change in 'x') .

   = (4 meters) /    (40 seconds)

   = 0.1 meter/second .

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Answer:

0.23348 A

Explanation:

B = Magnetic field

v = Velocity of electron = $1.38\times 10^7\ m/s$

q = Charge of electron = $1.6\times 10^{-19}\ C$

$\mu_0$ = Vacuum permeability = $4\pi \times 10^{-7}\ H/m$

r = Radius of circle = 0.026 m

N = Number of turns = 103 turns/cm = $103\times 100\ turns/m$

I = Current

The magnetic and centripetal force will be balanced

$Bqv=m\frac{v^2}{r}\\\Rightarrow B=\frac{mv}{qr}$

The magnetic field in solenoid is given by

$B=N\mu_0 I\\\Rightarrow I=\frac{B}{N\mu_0}$

From the first equation

$I=\frac{\frac{mv}{qr}}{N\mu_0}\\\Rightarrow I=\frac{mv}{N\mu_0qr}\\\Rightarrow I=\frac{9.11\times 10^{-31}\times 1.38\times 10^7}{103\times 100\times 4\pi \times 10^{-7}\times 1.6\times 10^{-19}\times 0.026}\\\Rightarrow I=0.23348\ A$

The current in the solenoid is 0.23348 A

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