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A spherical balloon has a radius o R-70 cm, and its surface has been charged uni

ID: 1661334 • Letter: A

Question

A spherical balloon has a radius o R-70 cm, and its surface has been charged uniform a) Calculate the field strength ri 54 cm from the balloon's centre b) Calculate the field strength r2-191 cm from the balloon's centre (c)Calculate the net charge on the balloon. You measure the elec c field to be = at he balloons sur ace where N PAPER SOLUTION Solve the problem on paper first, including all four IDEA steps. You will become a better physicist that way! Have you finished your paper solution already? yes INTERPRET DEVELOP In your answers below type r1. r2, and Es to represent r1. 2. and E. If needed, please use k rather than Eo Derive an algebraic expression for the electric field at r1 E1- Derive an algebraic expression for the electric field at T2 Derive an algebraic expression for the net charge on the balloon. EVALUATE

Explanation / Answer

a)

R = radius of the balloon

R = 70 cm = 0.70 m

r1 = 54 cm = 0.54 m

Q = change enclosed by the gaussian surface = 0

Using gauss's law

E A = Q /(epsilon)

E A = 0

E = 0

b)

E = k*Q/r^2

E (lpha) 1/r^2

E(surface) /E2 = r2^2/r1^2

25000/E2 = (191)^2 /(70)^2

E2 = 3.4*10^3 N/c

c)

E(surface) = k*Q/R^2

25000 = (9*10^9)*Q/(0.70)2

Q = 1.4*10^-6 C

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