Given this information, what is the charge q1 on sphere #1? 1. q1= Q 2. q1= 4/9

Question

Given this information, what is the charge  q1 on sphere #1?

1. q1= Q

2. q1= 4/9 Q

3. q1 =10/9 Q

4. q1= 9/4 Q

5. q1= 9/8 Q

6. q1= 9/10 Q

7. q1 = 8/9 Q

8. q1 =5/9 Q

9. q1= 9/5 Q

Consider two "solid" conducting spheres with radii rj = 4 H rind ro =5 R-, separated by a large distance so that the field and the poten¬tial at the surface of sphere #1 only depends oil the charge on #1 and the corresponding quantities on #2 only depend on the charge on #2. Place an equal amount of charge on both spheres: Qi = Q2 = Q Now "connect" the two spheres with a wire. There will be a flow of charge through the wire until equilibrium is established. Given this information, what is the charge q1 on sphere #1?

Explanation / Answer

7)

The answer is 8/9Q

we equate the potentials since they're touched, we get

q1+q2= 2Q

and kq1/4R = kq2/5R

q2=5/4 * q2

q1 + q2=2Q

q1 + 5q1/4 =2Q

q1(1+ 5/4)=2Q

q1 = 4 * 2Q / 9

q1 = 8Q/9

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.