What is condition of resonance in series LCR AC circuit?

For resonance the current produced in the circuit and emf applied must always be in the same phase. Phase difference (φ) in series LCR circuit is given by. tanφ=RXC​−XL​​ For resonance, φ=0⟹XC​−XL​=0 or XC​=XL​

How is resonance achieved?

Resonance only occurs when the first object is vibrating at the natural frequency of the second object. When the match is achieved, the tuning fork forces the air column inside of the resonance tube to vibrate at its own natural frequency and resonance is achieved.

What is series LCR circuit and resonance circuit?

Hint: A series LCR resonant circuit consists of an inductor, a capacitor and a resistance. The resonance will occur in this circuit when the reactance of the circuit will be zero. By equating the reactance of capacitor and inductor, we can obtain the expression for resonant frequency.

What do you mean by resonance and resonant frequency in a series LCR circuit obtain the expression for the resonant frequency?

When resonance occurs, the above expressions become equal to each other. By equating them we can get the condition for resonance in the series LCR circuit. XL=XCωL=1ωCω2=1LC⇒ω=1√LC. This is the expression for resonant frequency for a series LCR circuit at which the resonance occurs.

Why is series resonance called acceptor circuit?

The series resonance circuit is known as acceptor circuit. Series resonance circuit is known as acceptor circuit because the impedance at the resonance is at its minimum so as to accept the current easily such that the frequency of the accepted current is equal to the resonant frequency.

Why is a series resonant circuit called an acceptor circuit & parallel resonant circuit is called Rejecter circuit?

As a parallel resonance circuit only functions on resonant frequency, this type of circuit is also known as an Rejecter Circuit because at resonance, the impedance of the circuit is at its maximum thereby suppressing or rejecting the current whose frequency is equal to its resonant frequency.

What is the resonance condition formula?

Z = R + j( \omega L – \frac{1}{\omega C}) With the condition of resonance, the circuit is purely resistive. This means the imaginary part of the impedance Z will be zero during resonance condition or at a resonant frequency.