Question
Download Solution PDFAn AC voltage is applied across a series R-L circuit. If the voltage drop across the resistor and the inductor are 30V and 40V respectively then the applied peak voltage is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Resistor: It is an electrical component that has two terminals and it is used for either limiting or regulating the flow of electric current in electrical circuits.
- Inductor: Inductors are coil-like structures that are used in electrical circuits. The coil is an insulated wire with a central core. An inductor is used to store energy in the form of magnetic energy when ac electricity is applied to the circuit. One of the main properties of an inductor is that it opposes the change in the amount of current flowing through it.
- L-R circuit: LR Circuits are those circuits that are purely the combination of inductors and resistors.
- If the voltage drop across the resistance is VR and the voltage drop across the inductor is VL then the applied voltage is given as,
CALCULATION:
Given VR = 30V and VL = 40V
- We know that if the voltage drop across the resistance is VR and the voltage drop across the inductor is VL then the applied voltage is given as,
⇒ V = 50 V
- Since the voltage is AC so this value is an RMS value of the applied voltage.
- We know that if the RMS value of the alternating voltage is Vrms then peak value is given as,
- Hence option 2 is correct.
Additional Information
- Reactance: It is basically the inertia against the motion of the electrons in an electrical circuit.
- Reactance for an inductor is given as,
⇒ XL = 2πfL -----(1)
Where f = frequency of ac current and L = self-inductance of the coil
- Impedance: It is a combination of resistance and reactance. It is essentially everything that obstructs the flow of electrons within an electrical circuit.
For the LR circuit,
- Self-inductance: Self-inductance is the property of the current-carrying coil that opposes the change of current flowing through it.
Where VL = induced voltage in volts, N = self-inductance of the coil, and
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