Question
When a device is used in a circuit in which the voltage is 81 V, the current flowing through the device is 3 A. What's the resistance of the device?
Question 13 options:
A)
40.5 A
B)
243 Ω
C)
27 Ω
D)
243 A
Question 13 options:
A)
40.5 A
B)
243 Ω
C)
27 Ω
D)
243 A
Answers
GPT-4o mini
To calculate the resistance of the device, you can use Ohm's Law, which states:
\[
R = \frac{V}{I}
\]
Where:
- \( R \) is the resistance in ohms (Ω),
- \( V \) is the voltage in volts (V),
- \( I \) is the current in amperes (A).
In this case, the voltage \( V = 81 \, \text{V} \) and the current \( I = 3 \, \text{A} \).
Now, substituting the values into the formula:
\[
R = \frac{81 \, \text{V}}{3 \, \text{A}} = 27 \, \text{Ω}
\]
So the resistance of the device is **27 Ω**.
The correct answer is **C) 27 Ω**.
\[
R = \frac{V}{I}
\]
Where:
- \( R \) is the resistance in ohms (Ω),
- \( V \) is the voltage in volts (V),
- \( I \) is the current in amperes (A).
In this case, the voltage \( V = 81 \, \text{V} \) and the current \( I = 3 \, \text{A} \).
Now, substituting the values into the formula:
\[
R = \frac{81 \, \text{V}}{3 \, \text{A}} = 27 \, \text{Ω}
\]
So the resistance of the device is **27 Ω**.
The correct answer is **C) 27 Ω**.
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