Question

(II) A spherical rubber balloon carries a total charge $Q$ uniformly distributed on its surface. At $t=0$ the nonconducting balloon has radius $r_{0}$ and the balloon is then slowly blown up so that $r$ increases linearly to 2$r_{0}$ in a time $T$ . Determine the electric field as a function of time $(a)$ just outside the balloon surface and $(b)$ at $r=3.2 r_{0} .$

Name: ii a spherical rubber balloon carries a total charge q uniformly distributed on its surface at t0 the nonconducting balloon has radius r0 and the balloon is then slowly blown up so that r increases l
Uploaded: 2021-08-31T20:36:02-08:00
Duration: 2 min 33 s
Channel: Umar Sohail Qureshi
Description: ii a spherical rubber balloon carries a total charge q uniformly distributed on its surface at t0 the nonconducting balloon has radius r0 and the balloon is then slowly blown up so that r increases l

          (II) A spherical rubber balloon carries a total charge $Q$ uniformly distributed on its surface. At $t=0$ the nonconducting balloon has radius $r_{0}$ and the balloon is then slowly blown up so that $r$ increases linearly to 2$r_{0}$ in a time $T$ . Determine the electric field as a function of time $(a)$ just
outside the balloon surface and $(b)$ at $r=3.2 r_{0} .$

Added by Melissa M.

Physics for Scientists and Engineers with Modern Physics

Douglas C. Giancoli 4th Edition

Chapter 22

Instant Answer

Solved by Expert Umar Sohail Qureshi

08/31/2021

Step 1

Since the charge is uniformly distributed on the surface of the balloon, we can find the charge density by dividing the total charge by the surface area of the balloon. The surface area of a sphere is $4\pi r^2$, so the charge density is: $$\sigma = Show more…

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(II) A spherical rubber balloon carries a total charge $Q$ uniformly distributed on its surface. At $t=0$ the nonconducting balloon has radius $r_{0}$ and the balloon is then slowly blown up so that $r$ increases linearly to 2$r_{0}$ in a time $T$ . Determine the electric field as a function of time $(a)$ just outside the balloon surface and $(b)$ at $r=3.2 r_{0} .$