In a series RLC circuit, if the resistance is 5Ω, the inductance is 0.2H, and th

In a series RLC circuit, if the resistance is 5Ω, the inductance is 0.2H, and the capacitance is 10μF, what is the resonant frequency? (2023)

In a series RLC circuit, if the resistance is 5Ω, the inductance is 0.2H, and the capacitance is 10μF, what is the resonant frequency? (2023)

Step 1: Identify the values given in the problem. We have resistance (R) = 5Ω, inductance (L) = 0.2H, and capacitance (C) = 10μF.
Step 2: Convert the capacitance from microfarads to farads. 10μF = 10 * 10^-6 F = 10e-6 F.
Step 3: Use the formula for resonant frequency: f0 = 1 / (2π√(LC)).
Step 4: Substitute the values of L and C into the formula: f0 = 1 / (2π√(0.2 * 10e-6)).
Step 5: Calculate the product of L and C: 0.2 * 10e-6 = 2e-7.
Step 6: Find the square root of the product: √(2e-7).
Step 7: Calculate 2π times the square root value from Step 6.
Step 8: Finally, take the reciprocal of the result from Step 7 to find f0.

No concepts available.