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What is the total impedance of a circuit when the resistance is 15K Ω and the capacitive reactance is 10K Ω?
Wiki User
∙ 10y ago
I have to assume that those two components are in series, and that there are
no other components in the circuit, because it's easier that way and I'm up
past my bedtime.
The total impedance is (15K) - j(10K) = sqrt [ (15K)2 + (10K)2 ] =
18,028Ω at an angle of -33.7°.
Wiki User
∙ 10y ago
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What is impedance diagram?
An impedance diagram (sometimes called an impedance triangle) results when a series circuit's voltage phasor diagram is divided throughout by its reference phase (current) -this results in resistance (=VR/I), inductive reactance (=VL/I), capacitive reactance (=VC/I) and impedance (=V/I) andillustrates the Pythagorean relationship between the circuit's impedance, reactance, and resistance.
Short definition of impedance in connection with ac?
Impedance in an AC circuit is like resistance. In fact, impedance is measured in ohms, just like resistance. Impedance takes into account the fact that current and voltage are often not in phase with each other due to capacitive and inductive reactance.
Under what conditions could the total impedance of two impedances in series be less than that of either one by itself?
If both were reactances instead of resistances.AnswerIf one impedance was resistive-inductive (R-L) and the other impedance was resistive-capacitive (R-C), then the effective impedance could be less than either. For example, towards or at resonance, the inductive reactance will negate the capacitive reactance, leaving resistance as the main (or only) opposition to current flow. At resonance, the impedance of a circuit is simply its resistance.
Why at resonance the voltage drop across inductance and the voltage drop across capacitance is greater than the source voltage?
This isn't necessarily the case. It depends upon the value of resistance (which, at resonance, determines the current), and the values of the inductive- and capacitive-reactance.At resonance, the impedance of the circuit is equal to its resistance. This is because the vector sum of resistance, inductive reactance, and capacitive reactance, is equal the the resistance. This happens because, at resonance, the inductive- and capacitive-reactance are equal but opposite. Although they still actually exist, individually.If the resistance is low in comparison to the inductive and capacitive reactance, then the large current will cause a large voltage drop across the inductive reactance and a large voltage drop across the capacitive reactance. Because these two voltage drops are equal, but act the opposite sense to each other, the net reactive voltage drop is zero.So, at (series) resonance:a. the circuit's impedance is its resistance (Z = R)b. the current is maximumc. the voltage drop across the resistive component is equal to the supply voltaged. the voltage drop across the inductive-reactance component is the product of the supply current and the inductive reactancee. the voltage drop across the capacitive-reactance component is the product of the supply current and the capacitive reactancef. the voltage drop across both inductive- and capacitive-reactance is zero.
What is the capacitive resistance of a 0.04 microfarad capacitor in ac circuit that has a frequency of 1000 hz?
The capacitive reactance is approximately 4 kΩ .
What is impedance diagram?
An impedance diagram (sometimes called an impedance triangle) results when a series circuit's voltage phasor diagram is divided throughout by its reference phase (current) -this results in resistance (=VR/I), inductive reactance (=VL/I), capacitive reactance (=VC/I) and impedance (=V/I) andillustrates the Pythagorean relationship between the circuit's impedance, reactance, and resistance.
What is definition of impedence?
Impedance is usually written in equations as Z. Impedance is the real resistance (usualyl referred to as R), and the imaginary / reactive opposition (using an imaginary number 'i' or 'j', depending on your area of study). Z = R + j*n, where 'n' is the reactive opposition.Additional AnswerCurrent, in an A.C. circuit, is opposed by the resistance(R) of that circuit and the reactance (X) of that circuit. Reactance may be 'inductive reactance' (XL) or 'capacitive reactance' (XC) -depending on the nature of the circuit.Inductive reactance is directly proportional to the supply frequency; capacitive reactance is inversely proportional to the supply frequency; resistance is independent of frequency.Impedance (Z) is the vector sum (not algebraic sum) of a circuit's resistance and reactance, and may be considered as the total opposition to the flow of A.C. current.Resistance, reactance, and impedance are each measured in ohms.
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.
What is Impedance for an RLC circuit in series?
1. The RLC series circuit is a very important example of a resonant circuit. It has a minimum of impedance Z=R at the resonant frequency, and the phase angle is equal to zero at resonance.AnswerThe impedance of an RLC circuit is the vector sum of the circuit's resistance, inductive reactance, and capacitive reactance -all of which are expressed in ohms. This applies whether the circuit is at resonance or not.
Short definition of impedance in connection with ac?
Impedance in an AC circuit is like resistance. In fact, impedance is measured in ohms, just like resistance. Impedance takes into account the fact that current and voltage are often not in phase with each other due to capacitive and inductive reactance.
Under what conditions could the total impedance of two impedances in series be less than that of either one by itself?
If both were reactances instead of resistances.AnswerIf one impedance was resistive-inductive (R-L) and the other impedance was resistive-capacitive (R-C), then the effective impedance could be less than either. For example, towards or at resonance, the inductive reactance will negate the capacitive reactance, leaving resistance as the main (or only) opposition to current flow. At resonance, the impedance of a circuit is simply its resistance.
Why does the resistance in a series resonant circuit have no bearing on the resonant frequency?
Series resonance occurs when a circuit's inductive reactance is equal to its capacitive reactance. The resistance of the circuit is irrelevant.WebRep currentVote noRating noWeight
What is the total impedance of a series circuit that has 100 Ω resistance 500 Ω of inductive reactance and 300 Ω of capacitive reactance?
It is 100+j(500-300) ohm = (100+j200) ohm = 223.6<630 ohm
What is input impedance of a circuit?
Impedance is the total opposition to current flow. It includes both resistance AND reactance (capacitive and inductive). Impedance varies with frequency, while plain resistance does not. Scroll down to related links and look at: "Different names for the two impedances Z1 and Z2" "Calculation the damping of impedance bridging or power matching an interface connecting Zout and Zin" "Impedance bridging or voltage bridging of two audio units".
What is the relationship between resistance and capacitance in a clc circuit?
The relationship between resistance and capacitance in a clc circuit is the capacitive reactance given by XC.
Why at resonance the voltage drop across inductance and the voltage drop across capacitance is greater than the source voltage?
This isn't necessarily the case. It depends upon the value of resistance (which, at resonance, determines the current), and the values of the inductive- and capacitive-reactance.At resonance, the impedance of the circuit is equal to its resistance. This is because the vector sum of resistance, inductive reactance, and capacitive reactance, is equal the the resistance. This happens because, at resonance, the inductive- and capacitive-reactance are equal but opposite. Although they still actually exist, individually.If the resistance is low in comparison to the inductive and capacitive reactance, then the large current will cause a large voltage drop across the inductive reactance and a large voltage drop across the capacitive reactance. Because these two voltage drops are equal, but act the opposite sense to each other, the net reactive voltage drop is zero.So, at (series) resonance:a. the circuit's impedance is its resistance (Z = R)b. the current is maximumc. the voltage drop across the resistive component is equal to the supply voltaged. the voltage drop across the inductive-reactance component is the product of the supply current and the inductive reactancee. the voltage drop across the capacitive-reactance component is the product of the supply current and the capacitive reactancef. the voltage drop across both inductive- and capacitive-reactance is zero.
What is induction and inductive reactance?
resistance is real, the other purely imaginary.AnswerResistance is the opposition to the flow of current (AC or DC) which is proportional to a conductor's cross-sectional area and resistivity, and inversely proportional to its length. Reactance is the opposition to AC current due to either the circuit's inductance or its capacitance, and are termed inductive reactance and capacitive reactance. Resistance and reactance are both measured in ohms.Inductive reactance is proportional to the circuit's inductance and the frequency of the supply; capacitive reactance is inversely proportional to the circuit's capacitance and the frequency of its supply. In other words, inductive reactance increases with frequency, whereas capacitive reactance decreases with frequency.All AC circuits contain resistance, and most contain some degree of inductance and/or capacitance. So the opposition offered by a circuit to AC current includes resistance together with some combination of inductive and/or capacitive reactance.It's incorrect to suggest that reactance is 'imaginary'in the every day sense of the word -it exists, so it must be 'real'. In this context, 'imaginary' is a mathematical term that indicates that if resistance and reactance were represented in a vector diagram (called an 'impedence diagram'), then reactance quantity would lie at right-angles to the resistance quantity. For this reason, the overall opposition to current flow, which is called impedance, is not the algebraic sum of resistance and reactance, but the vector sum of the two. So, for example, if a circuit had a resistance of, say, 4 ohms, and its inductive reactance was 3 ohms, then its impedance would be 5 ohms -not 7 ohms.Although we can represent resistance and reactance using a vector diagram (impedance diagram), strictly-speaking the quantities themselves are not vector quantities. The impedance diagram is created as a result of a phasor (vector) diagram representing the current and voltage relationships in the AC circuit.
