Question

Q2. For RLC parallel, what are the conditions to be noted when it is resonance?​

Answer 1

Answer:

Explanation:

Hiii

Answer 2

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1The above equation is in the form of I = VY.

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1The above equation is in the form of I = VY.Therefore, the admittance Y of parallel RLC circuit will be

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1The above equation is in the form of I = VY.Therefore, the admittance Y of parallel RLC circuit will beY=1R+j⟮1XC−1XL⟯

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1The above equation is in the form of I = VY.Therefore, the admittance Y of parallel RLC circuit will beY=1R+j⟮1XC−1XL⟯Parameters & Electrical Quantities at Resonance

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1The above equation is in the form of I = VY.Therefore, the admittance Y of parallel RLC circuit will beY=1R+j⟮1XC−1XL⟯Parameters & Electrical Quantities at ResonanceNow, let us derive the values of parameters and electrical quantities at resonance of parallel RLC circuit one by one.

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1The above equation is in the form of I = VY.Therefore, the admittance Y of parallel RLC circuit will beY=1R+j⟮1XC−1XL⟯Parameters & Electrical Quantities at ResonanceNow, let us derive the values of parameters and electrical quantities at resonance of parallel RLC circuit one by one.Resonant Frequency

Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.Write nodal equation at node P.−I+IR+IL+IC=0⇒−I+VR+VjXL+V−jXC=0⇒I=VR−jVXL+jVXC⇒I=V[1R+j⟮1XC−1XL⟯]Equation 1The above equation is in the form of I = VY.Therefore, the admittance Y of parallel RLC circuit will beY=1R+j⟮1XC−1XL⟯Parameters & Electrical Quantities at ResonanceNow, let us derive the values of parameters and electrical quantities at resonance of parallel RLC circuit one by one.Resonant FrequencyWe know that the resonant frequency, fr is the frequency at which, resonance occurs. In parallel RLC circuit resonance occurs, when the imaginary term of admittance, Y is zero. i.e., the value of 1XC−1XL should be equal to

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