DIRECT CURRENT CIRCUITS
![](data:image/gif;base64,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)
Rtot = Σi Ri
(1/Rtot) = Σi (1/Ri)
|
![](data:image/jpeg;base64,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)
Gustav Kirchhoff (1824 - 1887) |
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 collection of successively more elaborate worked
examples.
![](data:image/gif;base64,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)
Charging, q(t) = Q[1 - e(-t/RC)];
Discharging, q(t) = Qe(-t/RC).
Simple RC circuit!
FACTS ABOUT SHOCKS
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?
Back
Next