What happens to the resonant frequency of an LCR series circuit if the value of the capacitance is increased?

💡 Solution & Explanation

The resonant frequency of a series LCR circuit is expressed mathematically as f equals one divided by the product of two pi and the square root of inductance and capacitance. Since capacitance is located in the denominator under the square root, an increase in capacitance causes a corresponding decrease in the resonant frequency. Inductance and capacitance determine the rate of energy oscillation between the magnetic and electric fields in the circuit. Tuning circuits in radio receivers rely directly on varying capacitance to select specific frequencies.