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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower System
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Time required for voltage to reach peak value from zero is called

A

Rise time

B

Trail time

C

Half time

D

Total time

Correct Answer

Concept & PrincipleElectricalPower System
Option A

Rise time

Quick Summary: Rise time is defined as the time taken by a waveform or voltage signal to increase from a specified low value (typically 10%) to a specified high value (typically 90%) or, in general, from zero to its peak value in transient analysis. It is a critical parameter in assessing the speed of response of electrical and electronic circuits, particularly in switchgear and pulse systems.

💡 Explanation

Rise time is defined as the time taken by a waveform or voltage signal to increase from a specified low value (typically 10%) to a specified high value (typically 90%) or, in general, from zero to its peak value in transient analysis. It is a critical parameter in assessing the speed of response of electrical and electronic circuits, particularly in switchgear and pulse systems.

🔢 Key Formulas

tr≈2.2τt_r \approx 2.2\tautr​≈2.2τ — approximation for the rise time of a first-order system where τ\tauτ is the time constant

v(t)=Vpeak(1−e−t/τ)v(t) = V_{peak}(1 - e^{-t/\tau})v(t)=Vpeak​(1−e−t/τ) — expression for voltage response in an RC charging circuit

⚙️ Working Principle

When a circuit is subjected to an impulse or step input, the inherent reactive components (inductors and capacitors) prevent an instantaneous change in state. The voltage across these components follows an exponential trajectory, v(t)=Vpeak(1−e−t/τ)v(t) = V_{peak}(1 - e^{-t/\tau})v(t)=Vpeak​(1−e−t/τ). The rise time is determined by the system's time constant (τ=RC\tau = RCτ=RC or L/RL/RL/R), which governs how quickly the energy state transitions to equilibrium.

📌 Key Points
  • ▸

    Rise time is inversely proportional to the bandwidth of the system; faster rise times imply wider bandwidth.

  • ▸

    In high-voltage switchgear, the rate of rise of restriking voltage (RRRV) is critical for arc quenching.

  • ▸

    It quantifies the transient response characteristic of the network.

✅ Advantages
  • ▸

    Determines the speed of circuit response

  • ▸

    Essential for transient stability analysis

❌ Disadvantages / Limitations
  • ▸

    Short rise times can cause high-frequency oscillations

  • ▸

    Requires high-bandwidth instrumentation for measurement

🛠️ Applications / Uses
  • ▸

    Impulse testing of transformers and insulators

  • ▸

    Design of high-speed switching circuits

📄 Additional Information
  • ▸

    Trail time is not a standard term in transient analysis; recovery time or fall time are the related concepts.

  • ▸

    Total time usually refers to the duration of the entire pulse, including decay.

📊 Diagram / Illustration
Time (t)Voltage (v)Peak ValueRise Time
✅

A is correct — Rise time is the time taken by the voltage to rise from 0% to 100% (or specified thresholds) of its peak value.

Core Concepts Used
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Transient Analysis Time Constant System Response
💡 EXAM TIP

In Power Systems, remember that a very steep rise time in a restriking voltage waveform increases the dielectric stress on circuit breaker contacts, making arc extinction more difficult.

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