Positive charge is spread uniformly over the surface of a spherical balloon 70 c

Question

Positive charge is spread uniformly over the surface of a spherical balloon 70 cm in radius, resulting in an electric field of 26 kN/C at the balloon's surface.

Part A

Find the field strength 50 cm from the balloon's center.

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Part B

Find the field strength 210 cm from the center.

Express your answer using two significant figures.

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Part C

What is the net charge on the balloon?

Express your answer using two significant figures.

Positive charge is spread uniformly over the surface of a spherical balloon 70 cm in radius, resulting in an electric field of 26 kN/C at the balloon's surface.

Part A

Find the field strength 50 cm from the balloon's center.

E1 =   kN/C  

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Part B

Find the field strength 210 cm from the center.

Express your answer using two significant figures.

E2 =   kN/C  

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Part C

What is the net charge on the balloon?

Express your answer using two significant figures.

Explanation / Answer

(a) Inside a uniformly charged spherical shell, the electric field is zero

E1 = 0 .........Ans.

(b) Outside, the field is like that of a point charge, with total charge at the center, so    

E(210 cm) = E(70 cm)* (70/210)2 = (0.1111)(26 kN/C) = 2.888 kN/C. ............Ans.

(c) Using the given field strength at the surface, we find a net charge    

Q = ER2/ k = (26 x 103)(0.7 )2/ (9 x109) =   1.4155 µ C...........Ans.

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