Final answer:
The voltage of 27 V is required to maintain a current of 3 A through a resistor with a resistance of 9 Ω.
Step-by-step explanation:
The student is asking to calculate the voltage needed to produce a current of 3 A in a resistor that has a resistance of 9 Ω. This calculation can be done using Ohm's Law, which states that the voltage (V) across a resistor is equal to the product of the current (I) flowing through it and its resistance (R), formulated as V = IR.
To find the voltage needed for a 3 A current with a resistance of 9 Ω, we simply substitute the values into Ohm's Law:
V = I × R
V = 3 A × 9 Ω
V = 27 V
Therefore, a voltage of 27 V is required to maintain a current of 3 A through a resistor with a resistance of 9 Ω.