MHT CET202520 Apr 2025Morning ShiftPhysicsAlternating CurrentActual
A 20 resistance, 10 mH inductance coil and 15 ~F capacitor are joined in series. When a suitable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is made 1 3 rd , the resonant frequency
Options
- Aremains unchanged.
- Bis doubled.
- Cis quadrupled.
- Dis halved.
Correct answer
A. remains unchanged.
Step-by-step solution
Resonant frequency for a series RLC circuit is defined by the expression f₀ = 1 2 LC . This formulation explicitly demonstrates that f₀ is a function solely of the inductance L and capacitance C . Since resistance R does not appear in the equation, altering R to 1 3 of its original value has no effect. The resonant frequency remains unchanged. Correct option: A