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.
Learn Alternating Current Formulas for NEET and solve tricky questions with a simple approach. You just get the basics to Master these formulas, and you will be able to solve various numerical problems.
Alternating Current Formulas for NEET
Prepare for NEET with a thorough understanding of Alternating Current formulas. In this detailed post, Explore concepts like instantaneous voltage and current variations, root mean square values, AC power calculations, impedance, and resonance frequency.
Gain mastery over these essential formulas, empowering yourself to analyze complex AC circuits. Our focus extends beyond memorization, ensuring a deep understanding of its applications.
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Alternating Current Formulas for NEET
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AC voltage, v
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= V₀sin(ωt)
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AC, i
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= I₀sin(ωt)
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Capacitive Reactance
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V₀/I₀ = 1/ωC = Xc
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RMS voltage, Vrms
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= V₀/√2
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RMS current, Irms
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= I₀/√2
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Inductive Reactance
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V₀/I₀ = ωL = XL
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The phase angle of an RLC series circuit Φ
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= tan⁻¹(XL – XC)/R
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AC version of Ohm’s law, I₀
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= V₀/Z
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Average power associated with circuit element, Pavc
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= (1/2)I₀V₀cos(Φ)
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The resonant angular frequency of the circuit, ω₀
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= √(1/LC)
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Root Mean Square
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The Root mean square of a function from T₁ to T₂ is given by
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Power Consumed or Supplied in AC circuit
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Purely Resistive Circuit
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In a purely resistive circuit, the power is dissipated by the resistance, and the phase of both voltage and current remains the same.
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P = VrmsIrms cos(Φ) = Vrms²/R
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Pure Inductive Circuit
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In a purely inductive circuit current lags the voltage by 90°
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i = im sin(ωt - π/2)
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Purely Conductive Circuit
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In a purely inductive circuit, the current flowing through the capacitor leads the voltage by 90°.
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I = {Vm/(1/ωC)}cos(ωt)
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I = (Vm/Xc)cos(ωt)
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I = Imcos(ωt)
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I = Imsin(ωt + π/2)
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Alternating Current Formulas for NEET Explanation
v = V₀ * sin(ωt)
v is the instantaneous AC voltage.
V₀ is the maximum voltage (amplitude).
ω is the angular frequency.
t is time.
i = I₀ * sin(ωt)
i is the instantaneous AC current.
I₀ is the maximum current (amplitude).
ω is the angular frequency.
t is time.
Formula for RMS Voltage and Current
Vrms = V₀/√2
Vrms is the Root Mean Square (effective) voltage.
V₀ is the maximum voltage (amplitude).
Irms = I₀/√2
Irms is the Root Mean Square (effective) current.
I₀ is the maximum current (amplitude).
Formula for Phase Angle of an RLC Series Circuit
Φ = tan⁻¹((XL - XC)/R)
Φ is the phase angle.
XL is the inductive reactance.
XC is the capacitive reactance.
R is the resistance.
Formula for AC Version of Ohm’s Law
I₀ = V₀/Z
I₀ is the maximum AC current.
V₀ is the maximum AC voltage.
Z is the impedance of the circuit.
Alternating Current Formulas for NEET Numerical Calculation
Having the list of Alternating Current Formulas for NEET will help you in calculating various parameters while solving NEET Numerical problems in physics. Students are suggested to mug up these formulas. Check what parameters you can find with these Alternating Current Formulas for NEET.
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.
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