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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Maximum value of current is given by
0.5Im
0.637Im
0.707Im
Im
Im
Quick Summary: The maximum value of an alternating current, denoted by $I_m$ or $I_{peak}$, represents the amplitude or the highest instantaneous value reached by the current during its cycle. In a sinusoidal waveform defined by $i(t) = I_m \sin(\omega t + \phi)$, the peak value is explicitly defined by the constant coefficient $I_m$.
The maximum value of an alternating current, denoted by Im or Ipeak, represents the amplitude or the highest instantaneous value reached by the current during its cycle. In a sinusoidal waveform defined by i(t)=Imsin(ωt+ϕ), the peak value is explicitly defined by the constant coefficient Im.
i(t)=Imsin(ωt) — Instantaneous current equation
Irms=2Im≈0.707Im — Root mean square value
Iavg=π2Im≈0.637Im — Average value (full cycle rectified)
In an A.C. circuit, the current periodically fluctuates between a positive maximum and a negative maximum. The maximum value (Im) is the peak deviation from the zero-axis, which is distinct from the RMS value (Irms=0.707Im) and the Average value (Iavg=0.637Im).
The maximum value is the peak of the sinusoidal wave.
It is also referred to as the amplitude of the current.
Unlike RMS or average values, Im does not depend on the shape of the waveform's rectification or integration.
In a pure sine wave, the peak value is higher than both the RMS and average values.
Used to define the insulation level of electrical equipment.
Crucial for calculating peak stress in power electronics and semiconductor devices.
Not directly useful for power calculations, which require RMS values.
Does not reflect the energy-delivering capacity of the alternating current.
Design of dielectric insulation for switchgear.
Voltage rating for capacitors and peak reverse voltage (PRV) for diodes.
Option B (0.637 Im) is the average value of a full-wave rectified sine wave.
Option C (0.707 Im) is the effective or RMS value of a sine wave.
D is correct — The maximum value of the current is defined as Im, representing the peak amplitude of the sinusoidal oscillation.
Always distinguish between RMS and Peak values in exam questions; power-related problems usually involve RMS (Irms), while insulation/breakdown problems involve Peak (Im).