Final answer:
In an RLC series circuit, the resistance 'R' can be calculated using Ohm's Law by dividing the voltage 'V' by the current 'I'. In this case, a resistance of 100 ohms would allow a current of 0.1 A to flow in the circuit.
Step-by-step explanation:
In an RLC series circuit, the current flowing through the circuit can be calculated using Ohm's Law, which states that V = IR, where V is the voltage across the circuit, I is the current flowing through the circuit, and R is the resistance. Rearranging the equation to solve for R, we get R = V / I.
In this case, the supply voltage AC is 10 V and the current is 0.1 A. So, substituting these values into the equation, we get R = 10 V / 0.1 A = 100 ohms. Therefore, a resistance of 100 ohms would allow a current of 0.1 A to flow in the circuit.