Q. 45 A 2.0聽cm聽脳聽2.0聽cmsquare loo... [FREE SOLUTION]

Chapter 30: Q. 45 (page 871)

A $2.0 c m 脳 2.0 c m$ square loop of wire with resistance $0.010 鈩�$ has one edge parallel to a long straight wire. The near edge of the loop is cm from the wire. The current in the wire is increasing at the rate of $100 A / s$ . What is the current in the loop?

Short Answer

Expert verified

The current in loop, $I_{induced} = 44.2 渭 A$

Step by step solution

Introduction of loop

A loop is an electromagnetic system that uses two wires to send signals to a device. It can be used to produce energy or transmit data.

Simplify by values

Given values:

$A = 2.0 cm 脳 2.0 cm$

$R = 0.010 惟$ (ohm )

$d = 1.0 cm$

Magnetic flux of wire at distance :

$B = \frac{渭_{o} I}{2 蟺 x}$

For a small strip of width $d x$ flux:

$d 蠒 = d A B = \frac{渭_{o} I}{2 蟺 x} (0.02 d x)$

$蠒 = {鈭�}_{0.01}^{0.03} \frac{渭_{o} I}{2 蟺 x} d x = \frac{渭_{o} I}{2 蟺} \ln 3 (0.02)$

Find the worth of induce current

$蔚 = \frac{d 蠒}{d t} 路 I_{induced} = \frac{蔚}{R}$
$鈬� I_{induced} = \frac{渭_{o}}{2 蟺 R} \ln 3 \frac{d I}{d t} 脳 (0.02)$

localid="1650218054027">鈬�Iinduced=4蟺脳10脳(1.098)m2蟺脳0.1惟脳100脳(0.02)

$鈬� I_{induced} = 44.2 渭 A$

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

A $2.0 c m 脳 2.0 c m$ square loop of wire with resistance $0.010 鈩�$ has one edge parallel to a long straight wire. The near edge of the loop is cm from the wire. The current in the wire is increasing at the rate of $100 A / s$ . What is the current in the loop?

Short Answer

Step by step solution

Introduction of loop

Simplify by values

Find the worth of induce current

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Nuclear Physics

Quantum Physics

Torque and Rotational Motion

Waves Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

91影视

A 2.0cm脳2.0cmsquare loop of wire with resistance0.010鈩�has one edge parallel to a long straight wire. The near edge of the loop is cm from the wire. The current in the wire is increasing at the rate of 100A/s. What is the current in the loop?

Short Answer

Step by step solution

Introduction of loop

Simplify by values

Find the worth of induce current

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Nuclear Physics

Quantum Physics

Torque and Rotational Motion

Waves Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

A $2.0 c m 脳 2.0 c m$ square loop of wire with resistance $0.010 鈩�$ has one edge parallel to a long straight wire. The near edge of the loop is cm from the wire. The current in the wire is increasing at the rate of $100 A / s$ . What is the current in the loop?