Final answer:
The resonance frequency of an LC circuit can be calculated using the formula: Resonance frequency = 1 / (2π√(LC)). In this case, the inductance of the circuit is 0.010 H and the capacitance is 26.0 µF. By substituting these values into the formula, we can find the resonance frequency.
Step-by-step explanation:
The resonance frequency (also known as the natural frequency) of an LC circuit can be calculated using the formula:
Resonance frequency = 1 / (2π√(LC))
Where:
L is the inductance in henries (H)
C is the capacitance in farads (F)
π is a mathematical constant approximately equal to 3.14159
In this case, the inductance of the circuit is 0.010 H and the capacitance is 26.0 µF. To find the resonance frequency, we need to convert the units of capacitance to farads:
C = 26.0 µF = 26.0 × 10-6 F
Now we can substitute the values into the formula:
Resonance frequency = 1 / (2π√(0.010 × 26.0 × 10-6))
Calculating this expression will give us the resonance frequency of the LC circuit.