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Question

Physics Question on Electric charges and fields

If 101010^{10} electrons are acquired by a body every second, the time required for the body to get a total charge of 1C1 \,C will be

A

2h

B

2 days

C

2yr

D

20 yr

Answer

20 yr

Explanation

Solution

I electron has a charge of 1.6×1019C10101.6 \times 10^{-19} \,C \,10^{10}
electrons would have a charge of q=q = ne
=1.6×1019×1010=1.6 \times 10^{-19} \times 10^{10}
=1.6×109C=1.6 \times 10^{-9}\, C
Thus, in 1s1 \,s, charge accumulated =1.6×109C=1.6 \times 10^{-9} \,C
So, time taken to accumulate 1C1\, C
=11.6×109=0.625×109=\frac{1}{1.6 \times 10^{-9}}=0.625 \times 10^{9}
=6.25×108s=173611h=6.25 \times 10^{8} \,s=173611\, h
=7233=7233 days
=20yr=20\, yr