Question

2-30pts) Three wires each carrying a current of 2.0A are bunched together closely and they flow into the page in the same direction. Find the magnetic field r = 1.0 cm a) Draw the currents in and out of the page using O and x symbols. b) Draw the Ampere's Loop around the currents above for the symmetry of the problem. c) Find the magnetic field vector at radius r=1.0cm around the currents. Make sure to denote the direction of the magnetic field!

          2-30pts) Three wires each carrying a current of 2.0A are bunched together closely and they flow into the page in the same direction. Find the magnetic field r = 1.0 cm
a) Draw the currents in and out of the page using O and x symbols.
b) Draw the Ampere's Loop around the currents above for the symmetry of the problem.
c) Find the magnetic field vector at radius r=1.0cm around the currents. Make sure to denote the direction of the magnetic field!

Show more…

2-30pts) Three wires each carrying a current of 2.0A are bunched together closely and they flow into the page in the same direction. Find the magnetic field r = 1.0 cm
a) Draw the currents in and out of the page using O and x symbols.
b) Draw the Ampere's Loop around the currents above for the symmetry of the problem.
c) Find the magnetic field vector at radius r=1.0cm around the currents. Make sure to denote the direction of the magnetic field!

Added by Sarah F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Justin Swantek

08/22/2023

Step 1

0A each, flowing into the page in the same direction. We can represent this using the following symbols: 0 x 0 b) Show more…

Show all steps

lock

Thanks for your feedback!

Play audio

Feedback

Powered by NumerAI

Justin Swantek and 61 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

0:00 All right, hello.

00:01 In this question, we're told that we have three wires carrying a current of 2 amps into the page, and they're bunched closely together.

00:06 And we're asked to find a magnetic field that r equals 1 centimeter.

00:11 So the first part is to draw the figure.

00:13 I have here three wires going in.

00:15 Each of these is going to have a current of 2 amps.

00:17 So our net current is going to be 3 times 2, or 6 amps.

00:21 I'm then asked to draw an empyrean loop.

00:23 So i want to draw a smart loop around these here, such that it's closed and it includes all of the currents.

00:33 And the reason i want to do that is because then i can use ampere's law.

00:37 And ampere's law is that the line integral of b dotted with dl is going to equal mu 0 times whatever our enclosed current is.

00:47 So this line integral here, if i have a radius of r for my loop, really it's just going to be b times the perimeter of this loop.

00:58 And the reason that is is because i'm going to have a bunch of little b's here for a little dl.

01:06 And those are going to be pointing in the same direction.

01:08 And i just want to sum that up over this entire loop.

01:11 So i'm going to have b, my total b, times the perimeter of the loop, which is going to be 2 pi r.

01:17 And that's going to equal mu 0 times my enclosed charge...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later