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PHY101 GDB Solution 202 Question
Suppose you are in a submersible at 3500m depth below in sea water. Suddenly one of electronic circuit of submersible becomes out of order, on diagnosing you found the resistance of 250ohm has damaged. Your electronic circuit may restore if you replace this resistance.
On searching your toolbox you found a packet (consist of 12) of resistances of 1000ohms value only. This is very difficult situation for you as no one can provide you the resistance of 250ohm. The question is that can you use 1000ohm resistances to restore your circuit If yes how? If no why? Either yes or no explain it with solid reason.
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Solution
My stance:
As a student of PHY101, I believe that the 1000-ohm resistances cannot directly replace the 250-ohm resistance in this scenario.
Reasons:
The fundamental reason behind this conclusion lies in the properties of resistors and their impact on circuits. In series circuits, the total resistance is the sum of individual resistances. However, in parallel circuits, the calculation of total resistance is different.
Explanation:
If we try to connect the four 1000-ohm resistors in series, the total resistance would be 1000 + 1000 + 1000 + 1000 = 4000 ohms. Similarly, if we connect two 1000-ohm resistors in series, the total resistance would be 1000 + 1000 = 2000 ohms.
When we try to combine these two series combinations in parallel, we cannot achieve a direct replacement for the 250-ohm resistance because the parallel combination would result in a total resistance of approximately 1333.33 ohms (1 / 4000 + 1 / 2000 = 3 / 4000).
Since 1333.33 ohms is significantly different from the required 250 ohms, we cannot use the 1000-ohm resistors alone to achieve an exact replacement for the damaged 250-ohm resistor.
In conclusion, while we can create various resistance values using combinations of 1000-ohm resistors, we cannot achieve the specific 250-ohm resistance required to directly replace the damaged resistor in the circuit. This situation poses a challenge and highlights the importance of having the appropriate components available in emergency scenarios.
