1. Common static electricity involves charges in the range between nanocoulombs

Question

1. Common static electricity involves charges in the range between nanocoulombs and microcoulombs.

a. How many electrons are needed to form a charge of Q1 = –1 nC?

b. How many electrons must be removed from a neutral object to leave a net charge of Q2 = 2.7 C?

2. Two balloons (m = 0.019 kg) are separated by a distance of d = 15 m. They are released from rest and observed to have an instantaneous acceleration of a = 1.4 m/s2 toward each other at the moment they are released. Assume the two balloons are point charges and have equal but opposite charges.

a. Calculate the magnitude of the charge on each balloon in C.

b. How many electrons are responsible for the charge, N?

Explanation / Answer

1).

a).Charge on a electron = - 1.6*10^-19 C

Total charge = - 1 nC = - 1*10^-9 C

Number of electrons needed = - 1*10^-9 / ( - 1.6*10^-19) = 6250000000 electrons

b).Q = 2.7*10^-6 C

So, the number of electrons needed is:

n = Q/q = (2.7*10^-6 C)/(1.6*10^-19 C) = 1.687*10^13 electrons

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