A series RLC circuit can have a higher voltage than the source voltage across the resistor.
Whether the given statement is true or false.
Answer to Problem 1TFQ
False.
Explanation of Solution
Given:
The given statement is:
The voltage across the resistor in a series RLC circuit is higher than the source voltage.
Calculation:
In case of a series resonant circuit, the capacitive reactance and the inductive reactance are equal and opposite to each other. Therefore, they cancel out each other’s effect. That is, the remaining circuit behaves like a resistive circuit. Hence, the voltage across the resistor is equal to the source voltage. This means that for the current brought up through any one branch, the other branch needs to return it to the ground at the same rate. That is, the currents through those branches must cancel out each other to zero.That is why, the value of total current in the L and C branches of a parallel circuit at resonance will be zero.
When the frequency is less than the resonant frequency, the value of inductive reactance is less than the capacitive reactance. In case of the parallel circuits, the current in the branch having more reactance will be less than the branch having less reactance. This concludes that the current flowing through the inductor is more and hence, the circuit is an inductive circuit. Current lags the voltage in case of inductive circuits.
In case of a parallel resonant circuit, the capacitive reactance and the inductive reactance are equal and opposite to each other. Therefore, they cancel out each other’s effect. That is, the current in the capacitive branch and the inductive branch are always 180 degrees out of phase to each other. Therefore, the capacitive and the inductive current subtract from each other.That is, the remaining circuit behaves like a resistive circuit. Hence, the voltage across the resistor is equal to the source voltage. The total current in the circuit will be equal to the resistance current.
Therefore, the given statement is False.
Want to see more full solutions like this?
Chapter 13 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
- An R-L series circuit contains two resistors and two inductors. The resistors dissipate powers of 96 watts and 125 watts. The inductors have reactive powers of 100 VARs and 78 VARs. What is the power factor?arrow_forwardIn the following circuit, the value of VEC can be calculated from + 5V RE R3 Rcs - 5V %3Darrow_forward• If the capacitor and resistive circuit is connected to a DC voltage, what will be the charging time of the capacitor? It will be 1 RC time It will be 10 RC time It will be 3 RC time It will be 5 RC timearrow_forward
- The question states the angle must be within the range -90 to +90 how do I convert it to thatarrow_forwardWhen in forward biased, what have you noticed when you change the source voltage from 0V to +20V? When in reverse biased, what have you noticed when changing the source voltage from 0 V to -15V?arrow_forwardholes conduction electrons A LED which bright one color when forward and another color on reverse is called One directional LED Multicolour LED Mono LED Dimensional LED The capacitor in a clamper circuit is in parallel with the voltage source *arrow_forward
- parallel circuitarrow_forwardFor these paramaters calcul only RL diffentiating circuit.arrow_forward(a) An AC triangular waveform with peak values of +2V is used as an input to a comparator. The outputs of the comparator are VOH=+5V, VOL=-5V 4 (ii) Draw a waveform of the output of the comparator when an inverting circuit in Figure 6 with an offset of 1V is used. Vi • 40 Vo 1V 4D 60 Figure 6arrow_forward
- what is the voltage for resitance 5arrow_forward1.Using the simulator of your choice simulate and screenshot the output voltage wave form for each circuit. +50 V R +5 V Vin Vout R- 47 0 3.3 kN Vin V out -50 V -5 V B Aarrow_forwardWhat should be the voltage across the 3H inductor in the below given electrical circuit if the 5V voltage source has been fed from the input terminal a-b? b 00000 3H 6H 00000 6H eeeeearrow_forward
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning