What if initially a charge 2.0 C is put on shell #1 with radius 3.2 m, then a fa

Question

What if initially a charge 2.0 C is put on shell #1 with radius 3.2 m, then a far away shell #2 (initially neutral) with radius 8.1 m is connected to shell #1 by a long conducting wire.
(a) What is the final charge on shell #1?
Q = 2 . C


(b) What is the final charge on shell #2?
Q = 3 . C


(c) What is the electric potential V on shell #1?
V = 4 . V
Use the charge known to be on sphere 1, along with its radius, to calculate the potential at the sphere's surface. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.

(d) What is the electric potential V on shell #2?
V = 5 . V
Use the charge known to be on sphere 2, along with its radius, to calculate the potential at the sphere's surface. Your response differs from the correct answer by more than 10%. Double check your calculations.

Explanation / Answer

The "long" connecting wire means the charges will distribute on the shells uniformly and you can then use the kq/r formula for potential. Since the shells are connected they must have same potential. Use that to find q1 and q2 as; V1 = V2 q1/r1 = q2/r2 Then also use q1 + q2 = 2.4 C These two eqs will allow you to find q1 and q2. Then use the known q1 or q2 to find the value of the potential via; V1 = kq1/r1 and/or V2 = kq2/r2 Should get same number for both.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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