menu
bartleby
search
close search
Hit Return to see all results

A long solenoid has 100 turns/cm and carries current i. An electron moves within the solenoid in a circle of radius 3.24 cm perpendicular to the solenoid axis. The speed of the electron is 0.0469c (c = speed of light, equal to 2.998 × 108 m/s). Find the current i in the solenoid.

Question

A long solenoid has 100 turns/cm and carries current i. An electron moves within the solenoid in a circle of radius 3.24 cm perpendicular to the solenoid axis. The speed of the electron is 0.0469c (c = speed of light, equal to 2.998 × 108 m/s). Find the current i in the solenoid.

check_circleAnswer
Step 1

Magnetic field in the solenoid is given by :

B Honi
_
where, n is the turns per unit length
turns
104.
т
and n = 100 urns
ст
help_outline

Image Transcriptionclose

B Honi _ where, n is the turns per unit length turns 104. т and n = 100 urns ст

fullscreen
Step 2

We know that, force on the moving electron in a magnetic field will be:

(since, the electron is moving perpendicularly
En = qvB
to the solenoid axis)
where, q is the charge
v is the speed
and B is the magnetic field
help_outline

Image Transcriptionclose

(since, the electron is moving perpendicularly En = qvB to the solenoid axis) where, q is the charge v is the speed and B is the magnetic field

fullscreen
Step 3

Now, the magnetic force will be equal to the centripetal f...

mv2
qvB
r
where, m is the mass of the charge
v is the speed
and r is the radius
help_outline

Image Transcriptionclose

mv2 qvB r where, m is the mass of the charge v is the speed and r is the radius

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Science

Physics

Magnetic Effects of Current

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Two blocks are sliding to the right accross a horizontal surface, as the drawing shows. In Case A th...

A: Consider the figure, the free body diagram of block 1 and block 2 for the two-block system is shown....

question_answer

Q: 2 meters long metal bar is heated from 25 degrees to 75 degrees It Cxpan ded by 0.002 meter what is ...

A: Write the expression for coefficient of thermal expansion.

question_answer

Q: When a shower is turned on in a closed bathroom, the splashing of the water on the bare tub can fill...

A: Click to see the answer

question_answer

Q: A series circuit containing inductance L1 = 1.7 H and capacitance C1 = 2.9 μF oscillates at angular ...

A: Write the expression for the angular frequency .

question_answer

Q: n the figure, a nonuniform bar is suspended at rest in a horizontal position by two massless cords a...

A: The expression for the vertical and horizontal component of force,

question_answer

Q: A carpenter measures the wood to fabricated kitchen cabinets. What would you expect are the systemat...

A: Assume that carpenter use a tape to measure the wood.Systematic errors are the errors which occur on...

question_answer

Q: The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a...

A: The mass of the lighter box = 8 kg.The mass of the heavier box = 35 kg.The distance between point A ...

question_answer

Q: Chapter 27, Problem 007 from A wire of resistance 5.1 Ω is connected to a battery whose emf ε is 4.0...

A: Given: R = 5.1 ohmr = 0.69 ohmemf = 4 Vt = 2.1 min = 2.1 × 60 = 126 secondsFind: (a) The energy tran...

question_answer

Q: The figure shows a Gaussian surface in the shape of a cube with edge length 1.60 m. What are (a) the...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Sorry about that. What wasn’t helpful?