Question
Answer the following prompt. Make sure to show all your work. According to Ohm’s Law, the electric current "I", in amperes, in a circuit varies directly as the voltage "V". When 12 volts are applied, the current is 3 amperes. What is the current when 48 volts are applied? (3 points)
Answers
GPT 3.5
To solve this problem, we can use the formula for Ohm's Law:
I = V/R
Where I is the current, V is the voltage, and R is the resistance (which we can assume to be constant in this case).
Given that when 12 volts are applied, the current is 3 amperes, we can write:
3 = 12/R
Solving for R, we get:
R = 12/3
R = 4 ohms
Now that we know the resistance is 4 ohms, we can find the current when 48 volts are applied:
I = 48/4
I = 12 amperes
Therefore, when 48 volts are applied, the current will be 12 amperes.
I = V/R
Where I is the current, V is the voltage, and R is the resistance (which we can assume to be constant in this case).
Given that when 12 volts are applied, the current is 3 amperes, we can write:
3 = 12/R
Solving for R, we get:
R = 12/3
R = 4 ohms
Now that we know the resistance is 4 ohms, we can find the current when 48 volts are applied:
I = 48/4
I = 12 amperes
Therefore, when 48 volts are applied, the current will be 12 amperes.
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