What is the charge on the second sphere?

In summary, the conversation discusses two small plastic spheres with positive charges and a repulsive force between them. The first question asks for the charge on each sphere if they are equal, which is found to be 7.02X10^-7 C. The second question asks for the charge on the first sphere if it has four times the charge of the second, and the solution involves multiplying the charge found in the first question by 4. The conversation then moves on to a different problem, asking for the charges if the spheres are 17cm apart and the force between them is 0.300N. The equation is solved by setting Q2 equal to four times Q1 and plugging in the given values.
  • #1
Charanjit
48
0
1. Homework Statement

Two small plastic spheres are given positive electrical charges. When they are a distance of 14.2cm apart, the repulsive force between them has a magnitude of 0.220 N.

A. What is the charge on each sphere if the two charges are equal? Ans: 7.02X10^-7
B. What is the charge on first sphere if it has four times the charge of the other?
C. What is the charge on the second sphere?

2. Homework Equations
Coulomb's Law --> F=kQ1Q2/r^2



3. The Attempt at a Solution

Already solved part A. Having trouble with part b. Both have a charge of 7.02X10^-7 C. The second question says if one sphere is 4 times the other, what is the charge. Wouldn't that just be 4 multiplied by 7.02X10^-7? Thats what I did, and its wrong.
 
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  • #2
No, that charge is on the spheres if both charges are equal. The distance and force between the spheres is given, and the charges asked if one charge is four times the other one.

ehild
 
  • #3
Nevermind, got it figured out.
 
  • #4
Could someone please help me with problem B, except 17cm apart and the Magnitude 0.300N, looking for Q1, Q2. Any help would be e great, I already got problem A answered which is 0.98*10^-6C.
 
  • #5
If Q2 is four times Q1 then solve the equation

0.3N =k*4Q1*Q1/0.17^2.

ehild
 

1. What is the definition of charge on the second sphere?

The charge on the second sphere refers to the amount of electric charge present on a spherical object, typically measured in coulombs (C).

2. How is the charge on the second sphere calculated?

The charge on the second sphere is typically calculated using Coulomb's Law, which states that the magnitude of the electrostatic force between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

3. Can the charge on the second sphere be positive or negative?

Yes, the charge on the second sphere can be either positive or negative, depending on the type of charge it possesses. Like charges repel each other, while opposite charges attract.

4. What factors can affect the charge on the second sphere?

The charge on the second sphere can be affected by various factors such as the amount and type of charge present on the first sphere, the distance between the two spheres, and the presence of other charged objects in the surrounding environment.

5. How does the charge on the second sphere impact its interactions with other objects?

The charge on the second sphere can impact its interactions with other objects, as it will either attract or repel other charged objects depending on the type and magnitude of its charge. This can also affect the distribution of charge on other nearby objects through the process of induction.

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