DIRECT CURRENT CIRCUITS
![](data:image/gif;base64,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)
Rtot = Σi Ri
(1/Rtot) = Σi (1/Ri)
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)
Gustav Kirchhoff |
|
Rule 1: The currents entering any junction
equal the currents leaving that junction. (Conservation of
charge!)
Rule 2: Around any loop, the potential
rises equal the potential drops. (Conservation of energy!)
![](data:image/jpeg;base64,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)
Typical
Example for Application of Kirchhoff Rules...
A classic dope slap.
![](data:image/gif;base64,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)
Charging, q(t) = Q[1 - e(-t/RC)];
Discharging, q(t) = Qe(-t/RC).
To obtain the current, remember I = dq/dt.
Simple RC circuit!
ELECTRICAL SHOCK!!
1-10 Milliamperes--- Person
will feel little or no electrical shock effects or sensation.
10-20 Milliamperes--- Painful shock will occur like a jolt,
but muscle control will not be lost at this amperage.
20-75 Milliamperes--- This shock is more serious. You'll
receive a a painful jolt and muscle control will be lost resulting
in the inability to let go of something you may have grabbed that
is shocking you.
75-100 Milliamperes--- As the current approaches 100
milliamperes, ventricular fibrillation of the heart occurs and
damage is done.
100-200 Milliamperes--- Ventricular fibrillation occurs and
death can occur if medical attention is not administered
quickly.
Over 200 Milliamperes--- Severe burns and severe muscle
contractions occur. Your heart can stop during a shock because the
chest muscles put pressure on the heart. Internal organs can be
damaged at this stage and if you survive, a painful recovery can
be expected. What may surprise you about this level of shock is
that through this clamping effect on the heart, ventricular
fibrillation is avoided and the chances of a person's survival are
good if the victim is promptly removed from the electrical
circuit.
Current or Voltage?
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