‘Shorts’ in a Series Circuit

Since there
is almost zero resistance in a ‘short’ circuit, it causes a problem of
excessive current in a series circuit which in turn, causes power dissipation
to increase many times and circuit components to burn out. The effect of short
circuit in a series circuit is shown with the illustration below.
figure+1

Figure 1a
shows a normal series circuit where

Total
voltage (V) = 10V
Total
resistance (R) = R1 + R2 + R3 = 9Ω
Total
circuit current (I) = V/R = 10/9 =1.1A
Power
dissipated in the circuit (P) = I2R = 1.12 X 9 = 10.89W.
In figure
1b, the 4Ω has been shorted out by a resistanceless copper wire so the RCD
= 0
Therefore
R = 2 + 3 +
0 = 5Ω
I = 10/5 =
2A
and P = 22
X 5 = 20W
In figure
1c, both the 3Ω and 4Ω resistors has been shorted out of the circuit.
Therefore
R = 2 + 0 +
0 = 2Ω
I  = 10/2 = 5A
P = 52
X 2 = 50W
Because of
the resulting excessive current due to the effect of the short (almost 5 times
the normal value), connecting wires and other circuit components can become hot
enough to ignite and burn out.

 


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