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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Back to Practice Questions
ElectricalMeasurement & Instrumentation
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In indicating instruments, the controlling and restoring torque can be obtained by using

A

Spring

B

Gravity

C

Either by spring or by gravity

D

Neither by spring nor by gravity

Correct Answer

Concept & PrincipleElectricalMeasurement & Instrumentation
Option A

Spring

Quick Summary: In indicating instruments, the controlling torque (Tc) is essential to bring the pointer to a position where the deflecting torque (Td) is balanced by the controlling torque. This torque is typically provided by either mechanical springs or gravity, which exert an opposing force to ensure the pointer returns to the zero position when the input is removed.

💡 Explanation

In indicating instruments, the controlling torque (Tc) is essential to bring the pointer to a position where the deflecting torque (Td) is balanced by the controlling torque. This torque is typically provided by either mechanical springs or gravity, which exert an opposing force to ensure the pointer returns to the zero position when the input is removed.

🔢 Key Formulas

Tc=kθT_c = k\thetaTc​=kθ — Controlling torque for spring control

Tc=W⋅l⋅sin⁡θT_c = W \cdot l \cdot \sin \thetaTc​=W⋅l⋅sinθ — Controlling torque for gravity control

⚙️ Working Principle
  1. Spring Control: A hairspring (usually phosphor-bronze) provides a restoring torque proportional to the deflection angle (θ\thetaθ), such that Tc∝θT_c \propto \thetaTc​∝θ. It offers high sensitivity and is used in portable instruments. 2. Gravity Control: A small adjustable weight attached to the pointer system uses gravitational force as the restoring mechanism, providing a torque proportional to the sine of the angle of deflection (Tc∝sin⁡θT_c \propto \sin \thetaTc​∝sinθ). This is generally restricted to panel-mounted instruments due to its dependence on the vertical orientation of the device.
📌 Key Points
  • ▸

    Spring control is independent of the instrument's position, whereas gravity control requires the instrument to be used in a vertical position.

  • ▸

    Spring-controlled scales are linear (uniform), whereas gravity-controlled scales are cramped at the beginning (non-linear).

  • ▸

    Controlling torque ensures that the steady-state deflection of the pointer is a function of the electrical quantity measured.

✅ Advantages
  • ▸

    Spring control allows for high sensitivity and precise measurements.

  • ▸

    Gravity control is cheaper, temperature-independent, and does not degrade over time.

❌ Disadvantages / Limitations
  • ▸

    Springs are subject to fatigue and temperature sensitivity.

  • ▸

    Gravity control is restricted to vertical mounting and is less sensitive.

🛠️ Applications / Uses
  • ▸

    Spring Control: Portable analog multimeters, PMMC meters.

  • ▸

    Gravity Control: Switchboard-mounted meters, industrial panel indicators.

🔄 Comparison Table
FeatureSpring ControlGravity Control

Scale Linearity

Uniform (Linear)

Non-uniform (Cramped)

Position Sensitivity

Independent

Dependent (Vertical only)

📄 Additional Information
  • ▸

    Option A is incomplete because gravity is also a valid method.

  • ▸

    Option B is incomplete because springs are widely used in most high-precision instruments.

  • ▸

    Gravity control cannot be used in portable equipment as it requires precise leveling.

📊 Diagram / Illustration
Controlling Torque BalanceTᴅ = T꜀Deflecting Torque = Restoring Torque
✅

C is correct — Indicating instruments utilize either spring or gravity control to provide the necessary restoring torque to balance the deflecting torque.

Core Concepts Used
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Deflecting Torque ($T_d$) Controlling Torque ($T_c$) Damping Torque ($T_d$)
💡 EXAM TIP

Always remember that the scale linearity is directly dictated by the controlling torque characteristic: Tc∝θT_c \propto \thetaTc​∝θ yields a uniform scale, while Tc∝sin⁡θT_c \propto \sin \thetaTc​∝sinθ results in a non-uniform scale.

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