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Since inductive reactance is 90° out of phase from pure resistance, this can be calculated like the hypotenuse of a right triangle. Sqrt( 172 + 62) = 18.028 Ω

The angle is 70.6° lagging.

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What is the impedance of a series R-L-C circuit?

the net oppostion offered by the rlc circuit for the ac current to pass through it is called the impedance of rlc circuitAnswerThe impedance of an RLC circuit is the vector sum of the circuit's resistance, inductive reactance, and capacitive reactance, expressed in ohms.


Why the impedence of rajector circuit is maximum at resonance?

In a RLC circuit, the impedance is maximum at resonance because the inductive and capacitive reactances are equal in magnitude but opposite in phase. This results in their cancellation, leaving only the resistance in the circuit. At this point, the circuit allows maximum current to flow, as the impedance is minimized. Thus, the maximum impedance occurs when the reactances balance each other out, leading to resonance.


When a series circuit containing resistance and inductive reactance is connected to a ac supply the current will?

The load current will lag the supply voltage by an angle called a 'phase angle', determined by the values of resistance and inductive reactance. The magnitude of the load current will be determined by the impedance of the circuit, which is the vector sum of the resistance and inductive reactance.


What are the characteristics of a circuit at resonance?

At resonance, a circuit exhibits maximum voltage across the load with minimal impedance, leading to maximum current flow. The inductive and capacitive reactances are equal in magnitude but opposite in phase, resulting in their cancellation. This condition enhances the circuit's ability to select specific frequencies, making it highly efficient for applications like tuning and filtering. Additionally, the circuit's bandwidth is at its narrowest, concentrating energy around the resonant frequency.


How will be phasor diagram if XL equals XC?

When the inductive reactance (XL) equals the capacitive reactance (XC) in an AC circuit, the circuit is said to be in resonance. In a phasor diagram, the voltage phasor across the inductor (V_L) and the voltage phasor across the capacitor (V_C) will be equal in magnitude but opposite in direction, effectively canceling each other out. As a result, the total voltage phasor will be aligned with the current phasor, indicating that the circuit behaves as purely resistive at this point. The current phasor will lead the voltage phasor by 90 degrees in an inductive circuit and lag in a capacitive circuit, but at resonance, they are in phase.

Related Questions

What is the impedance of a series R-L-C circuit?

the net oppostion offered by the rlc circuit for the ac current to pass through it is called the impedance of rlc circuitAnswerThe impedance of an RLC circuit is the vector sum of the circuit's resistance, inductive reactance, and capacitive reactance, expressed in ohms.


Why the impedence of rajector circuit is maximum at resonance?

In a RLC circuit, the impedance is maximum at resonance because the inductive and capacitive reactances are equal in magnitude but opposite in phase. This results in their cancellation, leaving only the resistance in the circuit. At this point, the circuit allows maximum current to flow, as the impedance is minimized. Thus, the maximum impedance occurs when the reactances balance each other out, leading to resonance.


When a series circuit containing resistance and inductive reactance is connected to a ac supply the current will?

The load current will lag the supply voltage by an angle called a 'phase angle', determined by the values of resistance and inductive reactance. The magnitude of the load current will be determined by the impedance of the circuit, which is the vector sum of the resistance and inductive reactance.


What is working principle of inductor?

A changing current through an inductor induces a voltage into the inductor, the direction of which always opposes the change in that current.So, in a d.c. circuit, an inductor will oppose (not prevent) any rise or fall in current, although the magnitude of that current will be determined by the resistance of that inductor, not by its inductance.In an a.c. circuit, because the current is continuously changing both in magnitude and in direction, it acts to continuously oppose the current due to its inductive reactance. Inductive reactance is proportional to the inductance of the inductor and the frequency of the supply. The vector sum of the inductive reactance of the inductor and the resistance of the inductor, is termed the impedance of the inductor. Inductive reactance, resistance, and impedance are each measured in ohms.


Is impedance a vector or scalar quantity?

Impedance is a vector quantity because it has both a magnitude and a phase angle associated with it. The magnitude represents the resistance and reactance components, while the phase angle accounts for the relationship between the current and voltage in an AC circuit.


How you can find real and imaginary parts of impedance if impedance and angle is given?

Real part = (magnitude of total impedance) x (cosine of the angle) Imaginary part = (magnitude of total impedance) x (sine of the angle)


What is the unit of a impidance?

Impedance is expressed in units of 'ohms'.In a DC situation, impedance is simply the scalar resistance.In a circuit where voltage/current have time-varying components,impedance is a complex quantity, with both magnitude and angle.


What is meant by resonance in LCR circuit?

a circuit in which inductance L,capacitance C and resistance R are connected in series and the circuit admits maximumum current corresponding to a given frequency of a.c.Another AnswerIn the case of a series circuit, resonance occurs when its inductive reactance is exactly equal to its capacitive reactance. As the vector sum of these two quantities will then be zero, the only opposition to current will be resistance and, so, maximum current will flow through the circuit when resonance occurs. ALL circuits can be made to resonate at what is called their 'resonant frequency' because, as frequency increases, the inductive reactance increases but capacitive reactance falls -so, at some point the two will equal each other, and resonance will occur.In my view resonance means - the condition that exists when the inductive reactance and the capacitive reactance are of equal magnitude, causing electrical energy to oscillate between the magnetic field of the inductor and the electric field of the capacitor.


Can alternating current be expressed as a vector?

In the case of AC, you can express the current, the voltage and the equivalent to the resistance (called "impedance" in this case) as a vector - with a magnitude, and a phase angle.


What does electrical impedance refer to?

It is the complex ratio of the voltage to the AC (alternating current) circuit. It extends the concept of resistance to AC circuits due to magnitude and phase.


What are the characteristics of a circuit at resonance?

At resonance, a circuit exhibits maximum voltage across the load with minimal impedance, leading to maximum current flow. The inductive and capacitive reactances are equal in magnitude but opposite in phase, resulting in their cancellation. This condition enhances the circuit's ability to select specific frequencies, making it highly efficient for applications like tuning and filtering. Additionally, the circuit's bandwidth is at its narrowest, concentrating energy around the resonant frequency.


How can you identify the branch parallel circuit with the what will have the least amount of current flow?

In a DC circuit, it's the branch with the largest resistance. In an AC circuit, it's the branch with the largest magnitude of impedance.