Question

Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of equal length. You then rub each with wool or on your hair so that the balloons hang apart with a noticeable separation between them. Make order-of-magnitude estimates of (c) the field each creates at the center of the other

Answer 1

The field each creates at the center of the other is 1.7×10^4N/C.

Consider two balloons of diameter 0.200m each with mass 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical

E = ke q /r^2

= [(8.99×10^9N⋅m^2C^2)(1.2×10^−7C)] / (0.25m)^2

= 1.7×10^4N/C

Gauss Law states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. The electric flux in an area is defined as the electric field multiplied by the area of the surface projected in a plane and perpendicular to the field.

Learn more about electric flux here:

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