## Question

###### 1. hree charges and an infinitely lng charged line are placed as shown below, where -q...

1. hree charges and an infinitely lng charged line are placed as shown below, where -q -1.6x10 C,- 4.0x10 C/m, and 8-30 93 42 a. Ifd 2cm is the distance from qu to the origin, what distance D must the line charge λ be placed from the origin in order to ensure that there is no net electric force on gi? b. Ifcharges 2 and 3 were moved further from the x-axis, would the necessary value of D increase, decrease, or stay the same? Answer this conceptually, without any calculations.

## Answers

a Electric field due to an infinitely long line charge at a distance x from the line where charge density in lambda is given by lambda/2 pi epsilon_0 x here the distance of q_1 from the line charge is d + D. Therefore E_L = lambda/2 pi epsilon_0 (d + D) \r\n The field q_1 due to q_3 E_q_3 = 1/4 pi epsilon_0 q_3/r^2 where r is the distance between q_1 & q_3 r = d/cos theta rightwardsdoublearrow E_q_3 = 1/4 pi epsilon_0 q_3 cos^2 theta/d^2 Similarly E_q_2 = 1/4 pi epsilon_0 q_2 cos^2 theta/d^2 For q_1 to have no electric force on it E_q_2 sin theta = E_q_3 sin theta This is the case as q_2 = q_3. & E_q_2 cos theta + E_q_3 cos theta = E_L rightwardsdoublearrow 1/4 pi epsilon_0 q_2 cos^3 theta/d^2 + 1/4 pi epsilon-0 q_3 cos^3 theta/d^2 = lambda/2 pi epsilon_0 (d + D) \r\n q_2 = q_3 rightwardsdoublearrow 2 times 1/4 pi epsilon_0 q_2 cos^3 theta/d^2 = lambda/2 pi epsilon_0 (d + D)

#### Similar Solved Questions

1 answers

##### Label the figure below to describe the life cycle of a flowering plant. Sporophyte produces spores...

Label the figure below to describe the life cycle of a flowering plant. Sporophyte produces spores through meiosis Megaspores become embryo sacs Mature ovary becomes a fruit MEIOSIS FERTILIZATION diploid (2n) haploid (n) Double fertilization produces zygote and 3n endosperm nucleus Microspore become...

1 answers

##### Assignment Score: 800/1000 ☆ Resources Resources D Hint Check Answer Check Answer Question 2 of 10...

Assignment Score: 800/1000 ☆ Resources Resources D Hint Check Answer Check Answer Question 2 of 10 > At 25 °C, only 0.0320 mol of the generic salt AB; is soluble in 1.00 L of water. What is the Kip of the salt at 25 °C? AB (S) = A*(aq) + 3B" (aq) Kp =...

1 answers

##### AA 3-2 Comparative Analysis LO A1, A2 Key figures for the recent two years of both...

AA 3-2 Comparative Analysis LO A1, A2 Key figures for the recent two years of both Apple and Google follow. $ millions Net income Net sales Current assets Current liabilities Apple Current Year Prior Year $ 48,351 $ 45,687 229,234 215,639 128,645 106,869 100,814 79,006 Google Current Year Prior Year...

1 answers

##### ? Question 19 (Mandatory) (0.5 points) A bond's current yield is defined as: the bond's annual...

? Question 19 (Mandatory) (0.5 points) A bond's current yield is defined as: the bond's annual coupon rate divided by the bond's current market price. O the bond's annual coupon rate divided by the bond's original issue price. O the bond's annual coupon rate divided by ...

1 answers

##### Dass when by the double bo o ns Choose an example of station using a corporation...

Dass when by the double bo o ns Choose an example of station using a corporation and harder What is meant by the double tation of corporbons? O A Doublewati refers to the ting of the same income wice This type of two typically rests from an corporation paying tax on its taxable income and the shareh...

1 answers

##### I need help with this exercise. Thank you for your help Language is C++ 6. Write...

I need help with this exercise. Thank you for your help Language is C++ 6. Write a program that prompts the user to input a positive integer. It should then output a message indicating whether the number is a prime number. (Note: An even number is prime if it is 2. An odd inte- ger is prime if i...

1 answers

##### What is the integral of #int tan^2(x)sec(x)dx#?

What is the integral of #int tan^2(x)sec(x)dx#?...

1 answers

##### What if you find multiple students performing the exam incorrectly and they say your peer faculty...

what if you find multiple students performing the exam incorrectly and they say your peer faculty taught them. what would you do?...

1 answers

##### Which one of the following is a source of cash? Multiple Choice Ο Repurchase of common...

Which one of the following is a source of cash? Multiple Choice Ο Repurchase of common stock Ο Acquisition of debt Ο Purchase of inventory Ο Payment to a supplier Ο Granting credit to a customer Which one of the following is a source of cash? Multiple Choice &...

1 answers

##### Question: 51 of 143 Time Remaining: 07:31:58 Pause Remaining: 00:05:00 A nurse is caring for a...

Question: 51 of 143 Time Remaining: 07:31:58 Pause Remaining: 00:05:00 A nurse is caring for a male client who reports nausea and vomiting and is receiving IV fluid therapy. The client's BUN is 32 mg/dL, creatinine 1.1 mg/dL, and hematocrit 50%. Which of the following actions should the nurse ta...

1 answers

##### The force applied against a moving object travelling on a linear path is given by #F(x)=3x+e^x #. How much work would it take to move the object over #x in [2, 3 ] #?

The force applied against a moving object travelling on a linear path is given by #F(x)=3x+e^x #. How much work would it take to move the object over #x in [2, 3 ] #?...

1 answers

##### 22. Auditors consider financial statement assertions to identify appropriate audit procedures. For items i through vi,...

22. Auditors consider financial statement assertions to identify appropriate audit procedures. For items i through vi, match each assertion with the statement that most closely approximates its meaning. Each statement may be used only once. (Use letters a. – f. below.) Assertion ...

1 answers

##### How do you write #4x^2+x^5-12+6x# in standard form?

How do you write #4x^2+x^5-12+6x# in standard form?...

1 answers

##### {Exercise 6.27 (Algorithmic)} Consider the following exponential probability density function. f(x) = }e for > 0...

{Exercise 6.27 (Algorithmic)} Consider the following exponential probability density function. f(x) = }e for > 0 a. Which of the following is the formula for P(xs xo)? 1 P(x <=0) = 4- · 2 P(Z 520)=1-4- 3 P(1 520)=1-6-- Formula #2 b. Find P(x s 1) (to 4 decimals). C. Find P(x > 4) (to...

1 answers

##### 2. Given is the following BNF grammar: < comp op > ''<' I ''<-'' I 'ל''...

2. Given is the following BNF grammar: < comp op > ''<' I ''<-'' I 'ל'' I ''>-'' I ''--'' I '''-'' -> arith op 〉 → + 1-1 * 1/ < paren〉 → "(" I ")...

1 answers

##### Dentily the spectator ions in the following molecular equation 22) ldentily A) K & NOs B)...

dentily the spectator ions in the following molecular equation 22) ldentily A) K & NOs B) Ag* & Br E) There are no spectator ions in this reaction. 23) Give the aet ionic eguation for the reaction oif any) that occurs when aqueous solutions of K28 and FeDNOs are mixed C)K(aq) NO3-(aq) KNOs(s...

1 answers

##### How would we determine whether a company has used “creative accounting” in their financial statements?

How would we determine whether a company has used “creative accounting” in their financial statements?...