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! 😭
I would really appreciate your help with my school project! Could you please take a moment to fill out this form? Thank you! https://forms.gle/9UPnfUYXkaUNxaGUA
It’s hard to believe that when COVID began five years ago, many of you were still in elementary or middle school!
Challenge: Can you think of all the different ways to express “100”? (I know it’s one way to test it!)
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!