Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Problem 5

Transpose $$L=\frac{\mu N^{2} A}{l}$$ for \(N\).

Short Answer

Expert verified
Question: Given the equation for inductance, $$L=\frac{\mu N^{2} A}{l}$$, transpose the equation to make N the subject. Answer: $$N=\sqrt{\frac{lL}{\mu A}}$$

Step by step solution

01

Write down the given formula

We are given the formula: $$L=\frac{\mu N^{2} A}{l}$$
02

Multiply both sides by l

Next, we multiply both sides of the equation by l to eliminate the denominator on the right side: $$lL=\mu N^{2} A$$
03

Divide both sides by µA

Now, we will divide both sides of the equation by µA to eliminate µA from the right side: $$\frac{lL}{\mu A}=N^2$$
04

Take the square root of both sides

Finally, to get N, we take the square root of both sides of the equation: $$N=\sqrt{\frac{lL}{\mu A}}$$ Therefore, the value of N when transposed is: $$N=\sqrt{\frac{lL}{\mu A}}$$

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find \(3 \times \frac{x}{11(x+y)}\).

In each case, simplify the given expression, if possible. \(7 \alpha-3 \beta+2 \gamma-7 \alpha+11 \beta\)

Transpose each of the following formulae to make the given variable the subject: (a) \(x=\frac{c}{y}\), for \(y\) (b) \(x=\frac{c}{y}\), for \(c\) (c) \(k=\frac{2 n+5}{n+3}\), for \(n\) (d) \(T=2 \pi \sqrt{\frac{R-L}{g}}\), for \(R\)

If \(A+B+C=180\), find \(C\) when \(A=30\) and \(B=60\).

In each case, simplify the given expression, if possible. \(a b+b a\)
See all solutions

Recommended explanations on Physics Textbooks

Translational Dynamics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Medical Physics

Read Explanation

Electromagnetism

Read Explanation

Energy Physics

Read Explanation

Measurements

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free