What is the total current in a circuit with a voltage of 240V, resistance of 20

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Question: What is the total current in a circuit with a voltage of 240V, resistance of 20 ohms, and inductive reactance of 30 ohms? (2022)

Options:

Correct Answer: 6 A

Solution:

Z = √(R² + Xl²) = √(20² + 30²) = √(400 + 900) = √1300 = 36.06 ohms. I = V/Z = 240/36.06 = 6.66 A.

What is the total current in a circuit with a voltage of 240V, resistance of 20 ohms, and inductive reactance of 30 ohms? (2022)

What is the total current in a circuit with a voltage of 240V, resistance of 20 ohms, and inductive reactance of 30 ohms? (2022)

Step 1: Identify the given values: Voltage (V) = 240V, Resistance (R) = 20 ohms, Inductive Reactance (Xl) = 30 ohms.
Step 2: Calculate the total impedance (Z) using the formula Z = √(R² + Xl²).
Step 3: Square the resistance: R² = 20² = 400.
Step 4: Square the inductive reactance: Xl² = 30² = 900.
Step 5: Add the squared values: 400 + 900 = 1300.
Step 6: Take the square root of the sum to find Z: Z = √1300 = 36.06 ohms.
Step 7: Use Ohm's Law to find the current (I) using the formula I = V/Z.
Step 8: Substitute the values: I = 240V / 36.06 ohms.
Step 9: Calculate the current: I = 6.66 A.

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