Children have about 1016 synapses that can transfer signals between neurons in the brain and between neurons and muscle cells. Suppose that these synapses simultaneously transmit a signal, sending 1000 calcium ions (Ca2+) across the membrane at each synaptic ending. Determine the total electric charge transfer in coulombs during that short time interval. By comparison, a lightning flash involves about 5C of charge transfer. (Note: This is a fictional scenario. All human neurons do not simultaneously produce signals.) e=1.6×10−19C.

Respuesta :

Answer:

3.2 C

Explanation:

e = Charge of electron = [tex]1.6\times 10^{-19}\ C[/tex]

Number of synapses = [tex]10^{16}[/tex]

Signals transferred by each synapse 1000 calcium ions [tex]Ca^{2+}[/tex]

Each calcium ion carries 2 charges

Number of charges would be [tex]2\times 1000=2000[/tex]

Total charges would be

[tex]N=10^{16}\times 2000=2\times 10^{19}[/tex]

Charge is given by

[tex]Q=Ne\\\Rightarrow Q=2\times 10^{19}\times 1.6\times 10^{-19}\\\Rightarrow Q=3.2\ C[/tex]

The total electric charge transfer in coulombs during that short time interval is 3.2 C