The reason for the total voltage drops across the capacitance and inductance IN AN AC CIRCUIT has to do with the different phase angles of the voltages.
First, current is the same value and same phase angle everywhere in a series circuit. But, voltage across a capacitor lags current by 90 degrees (capacitor current leads voltage). Next, voltage across a pure inductance leads current by 90 degrees (inductor current lags voltage).
The rule that all voltages in a series circuit have to add to the supply voltage still applies, but in this case, the voltage drops are added VECTORALLY, not arithmetically. If you were to graph this addition, you would show any resistance voltage in phase with the current, the capacitor voltage at -90 degrees to the current and the inductor voltage at +90 degrees to the current, for a phase difference between them of 180 degrees, cancelling each other out.
In a series resonant circuit, the impedances of the capacitor and inductor cancel each other. The only impedance to the flow of current is any resistance in the circuit. Since real-life inductors always have some resistance, at least there is always some resistance in a series resonant circuit.
2-3Figure 2-1B.-Interelectrode capacitance in a vacuum tube. 100 MEGAHERTZ.Figure 2-1C.-Interelectrode capacitance in a vacuum tube. INTERELECTRODE CAPACITANCE IN ATUNED-PLATE TUNED-GRID OSCILLATOR.A good point to remember is that the higher the frequency, or the larger the interelectrodecapacitance, the higher will be the current through this capacitance. The circuit in figure 2-1C, shows theinterelectrode capacitance between the grid and the cathode (Cgk) in parallel with the signal source. Asthe frequency of the input signal increases, the effective grid-to-cathode impedance of the tube decreasesbecause of a decrease in the reactance of the interelectrode capacitance. If the signal frequency is 100megahertz or greater, the reactance of the grid-to-cathode capacitance is so small that much of the signalis short-circuited within the tube. Since the interelectrode capacitances are effectively in parallel with thetuned circuits, as shown in figures 2-1A, B, and C, they will also affect the frequency at which the tunedcircuits resonate.Another frequency-limiting factor is the LEAD INDUCTANCE of the tube elements. Since the leadinductances within a tube are effectively in parallel with the interelectrode capacitance, the net effect is toraise the frequency limit. However, the inductance of the cathode lead is common to both the grid andplate circuits. This provides a path for degenerative feedback which reduces overall circuit efficiency.
Soft iron has a greater permeability than steel. BTW, the only reason for laminations is to reduce eddy currents in the core. It has no effect on permeability or inductance.
be connected in parallel
Capacitors may be connected in series to provide a capacitance with an effective working voltage higher than that of any of the individual units, (but the effective capacitance is less than that of any individual.) Capacitors may be connected in parallel to provide an effective capacitance value greater than that of any of the individual units, (but working voltage is equal to the lowest among the individuals).
THE PARALLEL rlc CIRCUIT IS CALLED A REJECTOR CIRCUIT BECAUSE IT REJECTS DOWN THE CURRENT. THE REASON IS AT RESONANCE THE IMPEDENCE OF THE CAPACITOR BECOMES EQUAL TO THAT OF THE INDUCTOR SO NO CURRENT FLOWS. AT LOW FREQUENCY THE CAPACITIVE REACTANCE IS LOW SO ALL THE CURRENT FLOWS THROUGH THE INDUCTOR AND WHEN THE FREQUENCY IS HIGH ALL THE CURRENT WILL FLOW THROUGH THE CAPACITOR BECAUSE AT THAT POINT THE REACTANCE OF THE CAPACITOR IS LOW. SO WE OBTAIN A V-SHAPED GRAPH WITH THE PEAK OF V INDICATING THE REJECTION OF CURRENT IN PARALLEL R-L-C CIRCUIT CIRCUIT,AT RESONANCE,IMPEDANCE IS MAXIMUM AND CURRENT IS MINIMUM.HENCE, SUCH A CIRCUIT WHEN USED IN RADIO STATIONS IS KNOWN AS REJECTOR CIRCUIT BECAUSE IT REJECTS OR TAKES MINIMUM CURRENT OF THAT DESIRED FREQUENCY TO WHICH IT RESONATES.(THIS RESONANCE IS OFTEN REFERRED TO AS CURRENT RESONANCE BECAUSE THE CURRENT CIRCULATING BETWEEN THE TWO BRANCHES IS MANY TIMES GREATER THAN THE LINE CURRENT TAKEN FROM THE SUPPLY.THE PHENOMENON OF PARALLEL RESONANCE IS OF GREAT PRACTICAL IMPORTANCE BECAUSE IT FORMS THE BASIS OF TUNED CIRCUITS IN ELECTRONICS.)A PARALLEL R-L-C CIRCUIT HAS THE PROPERTY OF SELECTIVITY I.E.IT CAN SELECT THE DESIRED FREQUENCY FOR AMPLIFICATION OUT OF A LARGE NUMBER OF FREQUENCIES SIMULTANEOUSLY IMPRESSED UPON IT.FOR INSTANCE IF A MIXTURE OF FREQUENCIES INCLUDING RESONANT FREQUENCY IS FED TO THE INPUT THEN MAXIMUM AMPLIFICATION OCCURS FOR THE RESONANT FREQUENCY.FOR ALL OTHER FREQUENCIES ,THE CIRCUIT OFFERS VERY LOW IMPEDANCE AND HENCE THESE ARE AMPLIFIED TO A LESSER EXTENT AND MAY BE THOUGHT AS REJECTED BY THE CIRCUIT.
2-3Figure 2-1B.-Interelectrode capacitance in a vacuum tube. 100 MEGAHERTZ.Figure 2-1C.-Interelectrode capacitance in a vacuum tube. INTERELECTRODE CAPACITANCE IN ATUNED-PLATE TUNED-GRID OSCILLATOR.A good point to remember is that the higher the frequency, or the larger the interelectrodecapacitance, the higher will be the current through this capacitance. The circuit in figure 2-1C, shows theinterelectrode capacitance between the grid and the cathode (Cgk) in parallel with the signal source. Asthe frequency of the input signal increases, the effective grid-to-cathode impedance of the tube decreasesbecause of a decrease in the reactance of the interelectrode capacitance. If the signal frequency is 100megahertz or greater, the reactance of the grid-to-cathode capacitance is so small that much of the signalis short-circuited within the tube. Since the interelectrode capacitances are effectively in parallel with thetuned circuits, as shown in figures 2-1A, B, and C, they will also affect the frequency at which the tunedcircuits resonate.Another frequency-limiting factor is the LEAD INDUCTANCE of the tube elements. Since the leadinductances within a tube are effectively in parallel with the interelectrode capacitance, the net effect is toraise the frequency limit. However, the inductance of the cathode lead is common to both the grid andplate circuits. This provides a path for degenerative feedback which reduces overall circuit efficiency.
Resistance is a completely different quantity to capacitance, resistance being measured in ohms and capacitance in farads. So they are 'apples and oranges'. You should be asking, 'What happens if capacitive reactance (in ohms) is larger than resistance?'. And one answer would be that the phase angle will be greater than 45 degrees. There are other answers, too, but it depends what you want to know,
no
Soft iron has a greater permeability than steel. BTW, the only reason for laminations is to reduce eddy currents in the core. It has no effect on permeability or inductance.
be connected in parallel
Capacitors may be connected in series to provide a capacitance with an effective working voltage higher than that of any of the individual units, (but the effective capacitance is less than that of any individual.) Capacitors may be connected in parallel to provide an effective capacitance value greater than that of any of the individual units, (but working voltage is equal to the lowest among the individuals).
these two types of circuit loads are the purely capacitive loads and purely inductive loadsAnother AnswerApparent power will be larger than true, or active, power in ANY circuit, other than a purely-resistive circuit or an R-L-C circuit at resonance.
THE PARALLEL rlc CIRCUIT IS CALLED A REJECTOR CIRCUIT BECAUSE IT REJECTS DOWN THE CURRENT. THE REASON IS AT RESONANCE THE IMPEDENCE OF THE CAPACITOR BECOMES EQUAL TO THAT OF THE INDUCTOR SO NO CURRENT FLOWS. AT LOW FREQUENCY THE CAPACITIVE REACTANCE IS LOW SO ALL THE CURRENT FLOWS THROUGH THE INDUCTOR AND WHEN THE FREQUENCY IS HIGH ALL THE CURRENT WILL FLOW THROUGH THE CAPACITOR BECAUSE AT THAT POINT THE REACTANCE OF THE CAPACITOR IS LOW. SO WE OBTAIN A V-SHAPED GRAPH WITH THE PEAK OF V INDICATING THE REJECTION OF CURRENT IN PARALLEL R-L-C CIRCUIT CIRCUIT,AT RESONANCE,IMPEDANCE IS MAXIMUM AND CURRENT IS MINIMUM.HENCE, SUCH A CIRCUIT WHEN USED IN RADIO STATIONS IS KNOWN AS REJECTOR CIRCUIT BECAUSE IT REJECTS OR TAKES MINIMUM CURRENT OF THAT DESIRED FREQUENCY TO WHICH IT RESONATES.(THIS RESONANCE IS OFTEN REFERRED TO AS CURRENT RESONANCE BECAUSE THE CURRENT CIRCULATING BETWEEN THE TWO BRANCHES IS MANY TIMES GREATER THAN THE LINE CURRENT TAKEN FROM THE SUPPLY.THE PHENOMENON OF PARALLEL RESONANCE IS OF GREAT PRACTICAL IMPORTANCE BECAUSE IT FORMS THE BASIS OF TUNED CIRCUITS IN ELECTRONICS.)A PARALLEL R-L-C CIRCUIT HAS THE PROPERTY OF SELECTIVITY I.E.IT CAN SELECT THE DESIRED FREQUENCY FOR AMPLIFICATION OUT OF A LARGE NUMBER OF FREQUENCIES SIMULTANEOUSLY IMPRESSED UPON IT.FOR INSTANCE IF A MIXTURE OF FREQUENCIES INCLUDING RESONANT FREQUENCY IS FED TO THE INPUT THEN MAXIMUM AMPLIFICATION OCCURS FOR THE RESONANT FREQUENCY.FOR ALL OTHER FREQUENCIES ,THE CIRCUIT OFFERS VERY LOW IMPEDANCE AND HENCE THESE ARE AMPLIFIED TO A LESSER EXTENT AND MAY BE THOUGHT AS REJECTED BY THE CIRCUIT.
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.
Adding energy at the natural frequency of an object is called resonance. Resonance can lead to an increase in amplitude of vibrations, potentially causing the object to vibrate with greater intensity or even break.
The secondary coil will have greater inductance compared to the primary coil because it has more turns. The inductance of a coil is directly proportional to the square of the number of turns, so increasing the number of turns increases the inductance.
of course stability of self bias circuit is much greater than fixed bias circuit