A positive charge Q1,-45.5 nC is located at the origin. A negative charge Q2 =-5.5 nC is located on the positive x-axis, p = 14 cm from the origin. Choose the correct relation to indicate the continuous region on the x-axis that includes a point where the electric field is zero.

1 answer
Question:

A positive charge Q1,-45.5 nC is located at the origin. A negative charge Q2 =-5.5 nC is located on the positive x-axis, p = 14 cm from the origin.
Choose the correct relation to indicate the continuous region on the x-axis that includes a point where the electric field is zero.

Answers

Answer:  r = 0.1045 cmExplanation:The electric field of a point charge is given by the expression           E = k q / r² Let's look for the field created by each load Q₁ charge            E₁ = k Q₁ / (r-0)²            E₁ = - 8.99 10⁹ 45.5 10⁻⁹ / r²            E₁ = - 409.05 / r² Q₂ charge            E₂ = k Q₂ / (r-0.14)₂            E₂ = - 8.99 10⁹ 5.5 10⁻⁹ / (r-0.14)²            E₂ = -49.45 / (r-0.14)² The electric field is a vector quantity, so we must use the sum of vectors to get the total field            E_total = E₁ + E₂ The burden of proof is always considered positive as the two charges are negative the strength is attractive, consider three regions of interest. - Left of the two charges in this case the two forces are directed to the right and therefore the field is not canceled - to the right of the two charges, the forces go to the left and the field is not canceled for any distance - Between the two charges, in this case each force goes in the opposite direction and there is a point for the field to cancel              0 = E₁ - E₂              E₁ = E₂             -409.05 / r² = - 49.45 /(r-0.14)²               (r-0.14)² = 49.45 / 409.05 r²              r² - 2 0.14r + 0.14² = 0.12 r²              r² (1-0.12) - 0.28 r + 0.0196 = 0              0.88 r² - 0.28 r + 0.0196 = 0              r² - 0.318 r + 0.0223 = 0 We solve the second degree equation             r = [0.318 ±√(0.318² - 4 0.0223)] / 2             r = [0.318 ± 0.109] 2             r₁ = 0.209 / 2 = 0.1045 m             r₂ = 0.2135 m We see that the result in the area of ​​interest between charges is              r = 0.1045 cm               - There are zones on the sides of the charge, but the force in these zones has a component that takes the test load to the part between the loads, therefore the field is never canceled

Similar Solved Questions

1 answer

Drag each tile to the correct location. Match each description to the appropriate type of government.

Drag each tile to the correct location. Match each description to the appropriate type of government....
1 answer

Describe the two main types of chemical bonds that are found in compounds.

Describe the two main types of chemical bonds that are found in compounds....
1 answer

The mass of ball Y is 45g the golfer gives the ball 36j of kinetic energy when he hits it.state the equation linking kinetic energy,mass and speed​

the mass of ball Y is 45g the golfer gives the ball 36j of kinetic energy when he hits it.state the equation linking kinetic energy,mass and speed​...
2 answers

What would happen if all plants had the same kind of roots? Please give more than one detail.

What would happen if all plants had the same kind of roots? Please give more than one detail....
2 answers

So I'm skinny and want to get stronger, while gaining weight how would I do that?

So I'm skinny and want to get stronger, while gaining weight how would I do that?...
1 answer

Which one of these expressions represent solutions to the equation y2=100 A. ✓100B. -✓100C. -20D. 20E. -10 F. 10

which one of these expressions represent solutions to the equation y2=100 A. ✓100B. -✓100C. -20D. 20E. -10 F. 10...
1 answer

Mr. Smith's house was listed at $325,000. The property eventually sold for $365,000. The agreed upon commission was 5%. How much did Mr. Smith pay in commissions at the closing of the property...

Mr. Smith's house was listed at $325,000. The property eventually sold for $365,000. The agreed upon commission was 5%. How much did Mr. Smith pay in commissions at the closing of the property......
1 answer

In terms of the processes of memory, _____ refers to transforming the information into a form that can be stored in memory.

In terms of the processes of memory, _____ refers to transforming the information into a form that can be stored in memory....
1 answer

Number 4 number 4 number 4 number 4

Number 4 number 4 number 4 number 4...
1 answer

What type of survivorship curve do human beings show? Explain why we are that type?

What type of survivorship curve do human beings show? Explain why we are that type?...
1 answer

For years, a mathematics professor experienced abusive behavior at a community college where he taught. It began with a group of managers spreading rumors and false accusations that threatened his job. It was emotionally draining and took time and focus away from his job. This is an example of ________. A. reverse discrimination B. bullying C. disparate treatment D. quid pro quo E. adverse impact

For years, a mathematics professor experienced abusive behavior at a community college where he taught. It began with a group of managers spreading rumors and false accusations that threatened his job. It was emotionally draining and took time and focus away from his job. This is an example of _____...
1 answer

(6. abolitionist newspaper

(6. abolitionist newspaper...
2 answers

Please help me with this question

Please help me with this question...
1 answer

Would the flower have more reproductive success if it adapted to more than just the needs of the Hummingbird moth? Explain your answer.

Would the flower have more reproductive success if it adapted to more than just the needs of the Hummingbird moth? Explain your answer....
1 answer

Given y = 3x +1 Is the point (-3,-1) on this graph?

Given y = 3x +1 Is the point (-3,-1) on this graph?...
1 answer

Girls and boys often enjoy playing the same sport. Some people believe that girls and boys should be able to play on the same team. What is your opinion on this issue? Write an essay stating your opinion and supporting it with convincing reasons. Be sure to explain your reasons in detail.

Girls and boys often enjoy playing the same sport. Some people believe that girls and boys should be able to play on the same team. What is your opinion on this issue? Write an essay stating your opinion and supporting it with convincing reasons. Be sure to explain your reasons in detail....
2 answers

Presem . In French, describe what you see that you did not like using "détester" in at least two sentences using the present tense

presem . In French, describe what you see that you did not like using "détester" in at least two sentences using the present tense...
1 answer

5.1.2 Exam: Semester 2 Exam Question 16 of 35 5 Points The Sumner High School Biology Club is planning a trip to Yosemite National Park. The trip will cost $200 per club member plus a $1000 deposit. Which of the following graphs models the total average cost of the trip per club member?

5.1.2 Exam: Semester 2 Exam Question 16 of 35 5 Points The Sumner High School Biology Club is planning a trip to Yosemite National Park. The trip will cost $200 per club member plus a $1000 deposit. Which of the following graphs models the total average cost of the trip per club member?...
2 answers

Use the following information and the indirect method to calculate the net cash provided or used by operating activities: Net income $ 85,800 Depreciation expense 12,500 Gain on sale of land 8,000 Increase in merchandise inventory 2,550 Increase in accounts payable 6,650

Use the following information and the indirect method to calculate the net cash provided or used by operating activities: Net income $ 85,800 Depreciation expense 12,500 Gain on sale of land 8,000 Increase in merchandise inventory 2,550 Increase in accounts payable 6,650...

-- 0.049904--