Formula Used:
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Spring Constant in a galvanometer refers to the stiffness of the spring used to suspend the moving coil or pointer within the galvanometer. It determines the restoring torque that brings the pointer back to its zero position.
The calculator uses the formula:
Where:
Explanation: The spring constant is calculated by dividing the controlling torque by the deflection angle, representing the torque required per unit angular deflection.
Details: Accurate spring constant calculation is crucial for galvanometer calibration, ensuring precise measurements, proper pointer movement, and instrument reliability in electrical measurement applications.
Tips: Enter controlling torque in N·m, deflection angle in radians. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the physical significance of spring constant?
A: The spring constant indicates the stiffness of the spring - a higher value means a stiffer spring that requires more torque to produce the same angular deflection.
Q2: How does spring constant affect galvanometer sensitivity?
A: A lower spring constant typically results in higher sensitivity as less torque is needed to produce deflection, making the galvanometer more responsive to small currents.
Q3: What are typical units for spring constant?
A: Spring constant is typically measured in Newton meters per radian (N·m/rad) for rotational systems like galvanometers.
Q4: How is controlling torque measured?
A: Controlling torque can be measured using calibrated weights, torque sensors, or calculated from known electrical parameters in the galvanometer system.
Q5: Can this formula be used for other rotational systems?
A: Yes, the fundamental relationship K = Tc/θd applies to any rotational spring system where torque and angular deflection are linearly related.