Alternating Current Formulas for NEET

Alternating Current Formulas for NEET: Are you preparing for NEET 2024? Let's discuss Alternating Current Formulas which are important from NEET Syllabus 2024 perspective. These formulas are not just derivations from theoretical knowledge, its like cheat codes for understanding voltage, current, and power.

Alternating Current Formulas for NEET

Alternating Current Formulas for NEET
AC voltage, v	= V₀sin(ωt)
AC, i	= I₀sin(ωt)
Capacitive Reactance	V₀/I₀ = 1/ωC = Xc
RMS voltage, Vrms	= V₀/√2
RMS current, Irms	= I₀/√2
Inductive Reactance	V₀/I₀ = ωL = XL
The phase angle of an RLC series circuit Φ	= tan⁻¹(XL – XC)/R
AC version of Ohm’s law, I₀	= V₀/Z
Average power associated with circuit element, Pavc	= (1/2)I₀V₀cos(Φ)
The resonant angular frequency of the circuit, ω₀	= √(1/LC)
Root Mean Square	The Root mean square of a function from T₁ to T₂ is given by
Power Consumed or Supplied in AC circuit
Purely Resistive Circuit	In a purely resistive circuit, the power is dissipated by the resistance, and the phase of both voltage and current remains the same.
	P = VrmsIrms cos(Φ) = Vrms²/R
Pure Inductive Circuit	In a purely inductive circuit current lags the voltage by 90°
	i = im sin(ωt - π/2)
Purely Conductive Circuit	In a purely inductive circuit, the current flowing through the capacitor leads the voltage by 90°.
	I = {Vm/(1/ωC)}cos(ωt)
	I = (Vm/Xc)cos(ωt)
	I = Imcos(ωt)
	I = Imsin(ωt + π/2)

Alternating Current Formulas for NEET Explanation

v = V₀ * sin(ωt)

i = I₀ * sin(ωt)

Formula for RMS Voltage and Current

Irms = I₀/√2

Formula for Phase Angle of an RLC Series Circuit

Formula for AC Version of Ohm’s Law

Alternating Current Formulas for NEET Numerical Calculation

Analysis of AC Circuit Behavior - Formulas describe the time variation of voltage and current, aiding in the analysis of AC circuit behavior.

Calculation of RMS Values - RMS values help calculate equivalent DC values for comparison with DC circuits, facilitating power calculations and heating effects.

Power Calculations - Power formulas consider both magnitude and phase relationships, crucial for determining the efficiency of AC devices.

Impedance Concept - Impedance combines resistance and reactance, providing a comprehensive measure of opposition to AC current flow in circuits.

Resonance Frequency Understanding - Resonance frequency formulas are essential for optimizing the performance of circuits with inductors and capacitors.