Nanotechnology allows us to manipulate our environment at the near-atomic scale.

Question

Nanotechnology allows us to manipulate our environment at the near-atomic scale. A nano-probe is designed to deliver small amounts of electrons in a controlled fashion. In this picture, the nanoprobe needs to send 0.5mu C charge to site shown in order to cause the neighboring dendrites depicted to release endorphins. Due to engineering constraints, the nano-wire current vs. time profile must fit the equation I(t) = bt where b = 4nC/s^2. How long must the nano-wire be turned on in order to excite the neighboring dendrites?

Explanation / Answer

Let t is the time

So I= q/t =bt( given)

Here b is constant = 4nC/sec2

Given q=0.5*10-6 C

Putting the values in above eq

We have. 0.5*10-6 /t =4*10-9 tt

4*10-9 *t2 =0.5*10-6

t2 =(0.5/4)*103

t2= 1.25*100

t=squreroot(125)

t= 11 sec( approx)

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