Chapter 29: Q50P (page 861)

A solenoid that is $95.0 cm$ long has a radius of $2.00 cm$ and a winding ofrole="math" localid="1663136568607" $1200 turns$ ; it carries a current of $3.60 A$ . Calculate the magnitude of the magnetic field inside the solenoid.

Short Answer

Expert verified

The magnitude of the magnetic field inside the solenoid is $0.00571 T .$

Step by step solution

Listing the given quantities

$l = 95 cm = 0.95 m$

$N = 1200$

$i = 3.60 A$

Understanding the concept of magnetic field and toroid

The magnetic field produced by the solenoid is given as,

$B = μ_{0} in = μ_{0} i (\frac{N}{l})$

Here, B is the magnetic field, i is current, n is the number of turns per unit length, N is the total number of turns and l is the length of the solenoid.

We can calculate the magnetic field due to an ideal solenoid. In our case, the solenoid is having a definite length, so we use this equation to calculate the magnetic field inside the solenoid.

Calculating the magnetic field inside the solenoid.

By using the equation,we can calculate the magnetic field.

$\begin{matrix} B = μ_{0} in \\ = μ_{0} i (\frac{N}{l}) \\ = 1.26 \times 10^{- 6} \times 3.60 \times \frac{1200}{0.95} \\ = 0.00571 T \end{matrix}$

Therefore, the magnitude of the magnetic field inside the solenoid is $0.00571 T$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A solenoid that is $95.0 cm$ long has a radius of $2.00 cm$ and a winding ofrole="math" localid="1663136568607" $1200 turns$ ; it carries a current of $3.60 A$ . Calculate the magnitude of the magnetic field inside the solenoid.

Short Answer

Step by step solution

Listing the given quantities

Understanding the concept of magnetic field and toroid

Calculating the magnetic field inside the solenoid.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Turning Points in Physics

Force

Geometrical and Physical Optics

Famous Physicists

Dynamics

Study anywhere. Anytime. Across all devices.

A solenoid that is 95.0cmlong has a radius of2.00cmand a winding ofrole="math" localid="1663136568607" 1200turns; it carries a current of3.60A. Calculate the magnitude of the magnetic field inside the solenoid.

Short Answer

Step by step solution

Listing the given quantities

Understanding the concept of magnetic field and toroid

Calculating the magnetic field inside the solenoid.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Turning Points in Physics

Force

Geometrical and Physical Optics

Famous Physicists

Dynamics

Study anywhere. Anytime. Across all devices.

A solenoid that is $95.0 cm$ long has a radius of $2.00 cm$ and a winding ofrole="math" localid="1663136568607" $1200 turns$ ; it carries a current of $3.60 A$ . Calculate the magnitude of the magnetic field inside the solenoid.