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. whats the resistance of the device? a) 243 a b) 27 ω

Explanation:

Step1: Recall Ohm's Law

Ohm's Law is given by \( V = IR \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance. We need to solve for \( R \), so rearrange the formula to \( R=\frac{V}{I} \).

Step2: Substitute the given values

We know \( V = 81\space V \) and \( I = 3\space A \). Substitute these into the formula: \( R=\frac{81}{3} \).

Step3: Calculate the resistance

\( \frac{81}{3}=27 \). The unit of resistance is ohms (\( \Omega \)).

Answer:

B) 27 \( \Omega \)