In a series L.C.circuit the inductant and capacitant are 0.5H and 20mf respectively. calculate the resonance frequency of the circuit.

fo = 1/2pi sqrt(LC)

Yes

Yes

To calculate the resonance frequency of a series L.C. circuit, you can use the following formula:

Resonance frequency (f) = 1 / (2π√(L*C))

1. First, convert the inductance and capacitance values to their respective units.
The inductance is 0.5 H (Henries), and the capacitance is 20 mF (millifarads).
Convert the capacitance to Farads by dividing by 1000 since 1 F = 1000 mF.
So, the capacitance becomes 0.02 F.

2. Now, substitute the values into the formula:
f = 1 / (2π√(L*C))
f = 1 / (2π√(0.5 * 0.02))

3. Simplify further:
f = 1 / (2π√(0.01))
f = 1 / (2π * 0.1)
f = 1 / (0.628)
f ≈ 1.59 Hz (approximately)

Therefore, the resonance frequency of the series L.C. circuit is approximately 1.59 Hz.