Question

Ou drag your feet on a carpeted floor on a dry day and the carpet acquires a net positive charge. a. Will you have an electron deficiency or an excess of electrons?
b. If the load acquired has a magnitude of 2.15 nC, how many elecrtrons were transferred?

Answer 1

Answer:

1) We will have excess of electrons

2) The number of electrons transferred equals $1.343\times 10^{10}$

Explanation:

Part a)

Since we know that the charge transfer occurs by the transfer of electrons only as it is given that the carpet has acquired a positive charge it means that it has lost some of the electron's since electrons are negatively charged and if a neutral body looses negative charge it will become positively charged. The electron's that are lost by the carpet will be acquired by the feet of the human thus making us negatively charged.Hence we will gain electrons making us excess in electrons.

Part b)

From charge quantinization principle we have

$Q=ne$

where

Q = charge of body

n = no of electrons

e = fundamental charge

Applying values in the above equation we get

$2.15\times 10^{-9}C=n\times 1.6\times 10^{-19}C\\\\\therefore n=\frac{2.15\times 10^{-9}C}{1.6\times 10^{-19}C}=1.343\times 10^{10}$