A thin circular sheet of glass of diameter 6 meters is rubbed with a cloth on on

Question

A thin circular sheet of glass of diameter 6 meters is rubbed with a cloth on one surface, and becomes charged uniformly. A chloride ion (a chlorine atom which has gained one extra electron) passes near the glass sheet. When the chloride ion is near the center of the sheet, at a location 0.5 mm from the sheet, it experiences an electric force of 4e-15 N, toward the glass sheet. In this problem, use the value e0 = 8.85e-12 C2/(N·m2)


How much charge is on the surface of the glass disk? (give amount, including sign, and correct units)

____?___ C

Explanation / Answer

     Distance between ,           chloride ion is near the center of the sheet = d = 0.5 mm = 0.5 *10-3 m                 electric force of   F = 4 *10 -15 N                                permitivity of the free- space = o = 8.85*10-12 C2/N·m2                  by the coulumb's law                            F = (1/4 o )  q2 /d2               4 *10 -15  = (9 *109   ) q2 / (0.5 *10-3 )2                         q = 0.331 *10-15 C         (appx.)                            sign:   - ve                            sign:   - ve                                                   

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