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elena55 [62]
2 years ago
8

A strong lightning bolt transfers about 25 c to earth. how many electrons are transferred? the elementary charge is 1.60218 × 10

−19
c.
Physics
1 answer:
tensa zangetsu [6.8K]2 years ago
5 0
The total charge transferred is Q=25 C. This total charge consists of N electrons, each one with charge e=1.6 \cdot 10^{-19}C. To find N, the number of electrons transferred, we must simply divide the total charge by the charge of a single electron:
N= \frac{Q}{e}= \frac{25 C}{1.6 \cdot 10^{-19}C}=1.56 \cdot 10^{20}
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P=2\pi r\\\Rightarrow r=\frac{P}{2\pi}\\\Rightarrow r=\frac{7000}{2\pi}\ m

a_c=\frac{v^2}{r}\\\Rightarrow a_c=\frac{\left(1.5\times 10^8\right)^2}{\frac{7000}{2\pi}}\\\Rightarrow a_c=2.0196\times 10^{13}\ m/s^2

Centripetal acceleration is 2.0196\times 10^{13}\ m/s^2

F_c=ma_c\\\Rightarrow F_c=1.67\times 10^{-27}\times 2.0196\times 10^{13}\\\Rightarrow F=3.37273\times 10^{-14}\ N

Force on protons is 3.37273\times 10^{-14}\ N

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