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)

$鈬� I_{induced} = 44.2 渭 A$

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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

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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

Waves Physics

Modern Physics

Medical Physics

Fields in Physics

Physics of Motion

Atoms and Radioactivity

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?