Explanation Given information: x 1 = 0 and x 2 = 30 cm Formula used: Consider the expression E ⊥ = ∫ x 1 x 2 k λ D ( x 2 + D 2 ) 3 2 d x Here, k = 8.99 × 10 9 N×m 2 / C 2 λ = 6 × 10 − 4 C / m D = 3 m Calculation: For x 1 = 0 , x 2 = 30 E ⊥ = ∫ 0 30 ( 8.99 × 10 9 ) ( 6 × 10 − 4 ) 3 ( x 2 + 9 ) 3 2 d x = ( 161.82 × 10 5 ) ∫ 0 30 d x ( x 2 + 9 ) 3 2 Now evaluate the value of ∫ 0 30 d x ( x 2 + 9 ) 3 2 To determine (b) The value of E ⊥ if x 1 = − 15 and x 2 = 15 m .

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 8.3, Problem 53E

To determine

(a)

The value of E⊥ if x1=0 and x2=30 m.

To determine

(b)

The value of E⊥ if x1=−15 and x2=15 m.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.3, Problem 52E

Chapter 8.3, Problem 54E

Students have asked these similar questions

A sodium ion (Na+) moves in the xy-plane with a speed of 2.90 ✕ 103 m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 3.25 ✕ 10−5 T, find the magnitude of the magnetic force acting on the ion and the magnitude of the ion's acceleration. HINT (a) the magnitude (in N) of the magnetic force acting on the ion N (b) the magnitude (in m/s2) of the ion's acceleration m/s2

Find the speed at the given value of t. r(t) = (sin(3t), cos(6t), cos(7t)), t = " 2. II

Trace the curve

Chapter 8 Solutions

Calculus - Standalone book

Ch. 8.1 - Prob. 1PQ Ch. 8.1 - Prob. 2PQ Ch. 8.1 - Prob. 3PQ Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

(a) The value of E ⊥ if x 1 = 0 and x 2 = 30 m .

Solution Summary: The author evaluates the value of E_perp if it is 0 or 30.

Concept explainers

Videos

(a)

The value of E⊥ if x1=0 and x2=30 m.

(b)

The value of E⊥ if x1=−15 and x2=15 m.

Want to see the full answer?

Chapter 8 Solutions

(a) The value of E ⊥ if x 1 = 0 and x 2 = 30 m .

Solution Summary: The author evaluates the value of E_perp if it is 0 or 30.

Concept explainers

Videos

(a) The value of E⊥ if x1=0 and x2=30 m.

(b) The value of E⊥ if x1=−15 and x2=15 m.

Want to see the full answer?

Chapter 8 Solutions

(a)

The value of E⊥ if x1=0 and x2=30 m.

(b)

The value of E⊥ if x1=−15 and x2=15 m.