Suppose that we are designing a cardiac pacemaker circuit The circuit is required to deliver pulses of 1-ms duration to the heart, which can be modeled as a 500- Ω resistance The peak amplitude of the pulses is required to be 5 V. However, the battery delivers only 2.5 V. Therefore, we decide to charge two equal- value capacitors an parallel from the 2.5-V battery and then switch the capacitors in series with the heart during the 1-ms pulse. What is the minimum value of the capacitances required so the output pulse amplitude remains between 4.9 V and 5.0 V throughout its 1-ms duration? If the pulses occur once every second, what is the average current drain from the battery). Use approximate calculations, assuming constant current during the output pulse. Find the ampere-hour rating of the battery so it lasts for five years.
Suppose that we are designing a cardiac pacemaker circuit The circuit is required to deliver pulses of 1-ms duration to the heart, which can be modeled as a 500- Ω resistance The peak amplitude of the pulses is required to be 5 V. However, the battery delivers only 2.5 V. Therefore, we decide to charge two equal- value capacitors an parallel from the 2.5-V battery and then switch the capacitors in series with the heart during the 1-ms pulse. What is the minimum value of the capacitances required so the output pulse amplitude remains between 4.9 V and 5.0 V throughout its 1-ms duration? If the pulses occur once every second, what is the average current drain from the battery). Use approximate calculations, assuming constant current during the output pulse. Find the ampere-hour rating of the battery so it lasts for five years.
Solution Summary: The author explains the value of minimum capacitance for the given output voltage change. The average current drawn from battery is I_avg=9.9mA and amper
Suppose that we are designing a cardiac pacemaker circuit The circuit is required to deliver pulses of 1-ms duration to the heart, which can be modeled as a 500-
Ω
resistance The peak amplitude of the pulses is required to be 5 V. However, the battery delivers only 2.5 V. Therefore, we decide to charge two equal- value capacitors an parallel from the 2.5-V battery and then switch the capacitors in series with the heart during the 1-ms pulse. What is the minimum value of the capacitances required so the output pulse amplitude remains between 4.9 V and 5.0 V throughout its 1-ms duration? If the pulses occur once every second, what is the average current drain from the battery). Use approximate calculations, assuming constant current during the output pulse. Find the ampere-hour rating of the battery so it lasts for five years.
Crystallographic planes
Crystallographic planes are denoted by Miller indices.
5b
Algorithm for Miller indices
1. Read off intercepts of plane with axes in
terms of a, b, c
2. Take reciprocals of intercepts
3. Reduce to smallest integer values
4. Enclose in parentheses, no commas.
353
1/3 1/5 1/3
535
(535)
In the cubic system, a plane and a
direction with the same indices are
orthogonal. E.g. [100] direction is
perpendicular to (100) plane.
Correspondingly, [123] direction is
perpendicular to (123) plane.
[2,3,3]
Plane intercepts axes at 3a, 2b, 2c
2
11 1
Reciprocal numbers are:
3'2'2
b.
Indices of the plane (Miller): (2,3,3)
2
a
Indices of the direction: [2,3,3]
X
(200)
(100)
(110)
(111)
(100)
Indices of crystallographic plane can be found from cross product of indices of
any two non-parallel directions in this plane.
Crystallographic positions
Crystallographic position
is denoted by three
numbers, which are
coefficients of the
position vector, e.g. ½½½
for the red atom.
Here the 'new' atom is at a/2 + b/2 + c/2
Silicon crystal has so-called "diamond type lattice".
Each Si atom has 4 nearest neighbors.
Diamond lattice starts with a FCC lattice and then
adds four additional INTERNAL atoms at locations
r = a/4+b/4+c/4 away from each of the atoms. In
other words, diamond lattice is formed by two FCC
lattices sifted by the vector r.
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