My science teacher posed a challenging question that has me stumped! It goes like this: “If half the resistance of a power grid is 128.3456713 M ohms and there’s a current of 30 tc over a span of 26 hours, calculate the potential difference and show all your calculations.” I could really use some assistance! 😭
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To solve the problem, we can start by using Ohm’s Law, which states:
[ V = I \times R ]
Where:
– ( V ) is the potential difference (in volts)
– ( I ) is the current (in amperes)
– ( R ) is the resistance (in ohms)
From your question, we have:
– The resistance of the power grid is given as half the total resistance: ( R = 128.3456713 \, M\Omega = 128.3456713 \times 10^6 \, \Omega )
– The current is given as ( 30 \, tc ). Since “tc” isn’t a standard unit, please clarify if it means “amps”. If you meant it as a unit of time, you might need to convert it to a standard unit of current (like volts or amps).
Assuming ( 30 \, tc ) means 30 amps for this example, we can now plug in the values into the equation.
Step 1: Calculate the Current
If ( 30 \, tc = 30 \, A ) (assuming tc is amperes).
Step 2: Calculate the Potential Difference
Now substituting the values of ( I ) and ( R ) back into the formula:
[
V = I \times R
]
[
V = (30 \, A) \times (128.3456713 \times 10^6 \, \Omega)
]
[
V = 30 \times 128345671.3
]
[
V \approx 3850360143.9 \, V
]
Step 3: Final Result
Thus, the potential difference ( V ) is approximately:
[
V \approx 3.85 \, G\, V
]
Note on Current Unit
If “tc” means something else, please clarify so I can assist you further.
Let me know if this helps or if you have any other questions!