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Alternating Current Formulas for NEET 2024 Preparation

by PW Gulf
January 20, 2024
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Alternating current formulas for NEET: Are you preparing for NEET 2024? Let's discuss some “Alternating Current Formulas for NEET” that you'll find handy. These formulas aren't just complicated theories; they're like secret tricks that make understanding voltage, current, and power much more effortless. Check out this article for the lowdown on Alternating Current Formulas for NEET 2024. Once you get the basics, you'll be ready to breeze through different numerical problems with a straightforward approach.

List of Alternating Current Formulas for NEET 2024

Alternating current refers to a flow of electric charge that undergoes periodic changes in magnitude and polarity over time. In contrast, when the electric current maintains a constant direction, it is called direct current. Find the list of Alternating Current Formulas for NEET 2024 preparation here.

List of Alternating Current Formula for NEET

AC voltage, v 

Vₒsinωt

AC current, i 

Iₒsinωt

Capacitive Reactance Vₒ/Iₒ

1/ωC = X

RMS voltage, Vrms

Vₒ/√2

RMS current, Irms

Iₒ/√2

Inductive Reactance  Vₒ/Iₒ

Vₒ/Iₒ = ωL = XL

The phase angle of an RLC series circuit Φ 

tan-1 (XL – XC)/R

AC version of Ohm’s law, Iₒ

Vₒ/Z

RLC series circuit Impedance

 

Average power associated with circuit element, Pavc

(1/2)IₒVₒcos Φ√1/LC

The resonant angular frequency of the circuit, ω0 

√1/LC

The root mean square of a function from T1 to T2 is derived as 


The power consumed or supplied in AC Current 


The average power consumed in a cycle is given as:






Purely Resistive Circuit: In a circuit with only resistance, the resistance uses up the power, and the voltage and current stay in sync.



The formula for purely resistive current is derived as: 


P =VrmsIrms cosΦ = Vrms2/R

Purely  Inductive Circuit: In a circuit with only inductance, the current falls behind the voltage by 90 degrees.



The formula for purely inductive current is derived as: 


i = im sin(ωt- π/2)

Purely Conductive Current: In a circuit with only conductivity, the current flowing through the capacitor is ahead of the voltage by 90 degrees.


The formula for purely conductive current is derived as follows: 


I = {Vm/(1/ωC)}cosωt


I = (Vm/Xc)cosωt

I = Imcosωt

I = Imsin(ωt + π/2)

Alternative Current Formulas for NEET 2024 Important Explanation

The table below briefly explains essential terms of alternative current formulas for NEET 2024.

Alternative Current Formulas for NEET 2024 Important Explanation

v = V₀ * sin(ωt)

In this formula:


  • v refers to the instantaneous AC voltage.

  • V₀ refers to the maximum voltage (amplitude).

  • ω refers to the angular frequency.

  • t refers to time.

i = I₀ * sin(ωt)

In this formula:


  • i refers to the instantaneous AC current.

  • I₀ refers to the maximum current (amplitude).

  • ω refers to the angular frequency.

  • t refers to time.

RMS Voltage Formula


Vrms = V₀/√2

In this formula:


  • Vrms refers to the Root Mean Square (effective) voltage.

  • V₀ refers to the maximum voltage (amplitude).

Current Formula


Irms = V₀/√2

In this formula:


  • Irms refers to the Root Mean Square (effective) current.

  • I₀ refers to the maximum current (amplitude).

Phase Angle Formula of an RLC Series Circuit


Φ = tan⁻¹((XL – XC)/R)

In this formula:


Φ refers to the phase angle.

XL refers to the inductive reactance.

XC refers to the capacitive reactance.

R refers to the resistance.

AC version of Ohm’s Law Formula


I₀ = V₀/Z

In this formula:


I₀ refers to the maximum AC current.

V₀ refers to the maximum AC voltage.

Z refers to the impedance of the circuit.

Alternating Current Fomulas for NEET FAQs

Q1: What is capacitive reactance (Xc) in an AC circuit, and how is it calculated?

Ans: Capacitive reactance (Xc) is given by Xc = 1/(ωC), where ω is the angular frequency and C is the capacitance.

Q:. How do you find the RMS voltage (Vrms) in an AC circuit with a sinusoidal waveform?

Ans: The formula for RMS voltage is Vrms = V₀/√2, where V₀ is the peak voltage.

Q3: What is the phase angle (Φ) in an RLC series circuit, and how is it related to inductive and capacitive reactances?

Ans: The phase angle (Φ) is given by Φ = tan^(-1)((XL - XC)/R), where XL is the inductive reactance, XC is the capacitive reactance, and R is the resistance.

Q4: How is the impedance (Z) calculated in an RLC series circuit?

Ans: Impedance (Z) is given by Z = √(R² + (XL - XC)²), incorporating the resistance, inductive reactance (XL), and capacitive reactance (XC).

Q5: Explain the AC version of Ohm's law and its relation to impedance.

Ans: The AC version of Ohm's law is I₀ = V₀/Z, where I₀ is the peak current, V₀ is the peak voltage, and Z is the impedance of the circuit.

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