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In a gravity controlled instrument, the deflection is proportional to:
- a)measured value
- b)square of measured value
- c)sine inverse of measured value
- d)sine of measured value
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a gravity controlled instrument, the deflection is proportional to:...
In gravity control, a small weight is placed on an arm attached to the moving system. The position of this weight is adjustable. This weight produces a controlling torque due to gravity.
This controlling torque is given by,
Tc = Kgsinθ
Td ∝ I
At equilibrium position, TC = TD
⇒ I ∝ sinθ
Most Upvoted Answer
In a gravity controlled instrument, the deflection is proportional to:...
Gravity Controlled Instrument and Deflection
A gravity-controlled instrument is an instrument that uses the force of gravity to determine the deflection of a needle or pointer. This type of instrument is commonly used in measuring instruments such as voltmeters, ammeters, and wattmeters. The deflection of the needle is proportional to the measured value, and this is the basis for the operation of the instrument.
Proportional to Sine of Measured Value
The correct answer to the given question is option 'D', which states that the deflection is proportional to the sine of the measured value. This means that the greater the measured value, the greater the deflection of the needle, and the deflection is proportional to the sine of the measured value.
Why Sine of Measured Value?
The reason why the deflection is proportional to the sine of the measured value is that the force of gravity acts perpendicular to the plane of the instrument. This means that the force of gravity is only effective in deflecting the needle if the measured value is not in the plane of the instrument. The sine of the measured value is a measure of the angle between the plane of the instrument and the direction of the measured value.
The sine function is used to convert the angle to a proportional value that can be used to deflect the needle. The sine function is a mathematical function that returns a value between -1 and 1, depending on the angle. The greater the angle, the greater the value returned by the sine function.
Conclusion
In summary, the deflection of a gravity-controlled instrument is proportional to the sine of the measured value. This is because the force of gravity acts perpendicular to the plane of the instrument, and the sine of the measured value is a measure of the angle between the plane of the instrument and the direction of the measured value. The sine function is used to convert the angle to a proportional value that can be used to deflect the needle.
A gravity-controlled instrument is an instrument that uses the force of gravity to determine the deflection of a needle or pointer. This type of instrument is commonly used in measuring instruments such as voltmeters, ammeters, and wattmeters. The deflection of the needle is proportional to the measured value, and this is the basis for the operation of the instrument.
Proportional to Sine of Measured Value
The correct answer to the given question is option 'D', which states that the deflection is proportional to the sine of the measured value. This means that the greater the measured value, the greater the deflection of the needle, and the deflection is proportional to the sine of the measured value.
Why Sine of Measured Value?
The reason why the deflection is proportional to the sine of the measured value is that the force of gravity acts perpendicular to the plane of the instrument. This means that the force of gravity is only effective in deflecting the needle if the measured value is not in the plane of the instrument. The sine of the measured value is a measure of the angle between the plane of the instrument and the direction of the measured value.
The sine function is used to convert the angle to a proportional value that can be used to deflect the needle. The sine function is a mathematical function that returns a value between -1 and 1, depending on the angle. The greater the angle, the greater the value returned by the sine function.
Conclusion
In summary, the deflection of a gravity-controlled instrument is proportional to the sine of the measured value. This is because the force of gravity acts perpendicular to the plane of the instrument, and the sine of the measured value is a measure of the angle between the plane of the instrument and the direction of the measured value. The sine function is used to convert the angle to a proportional value that can be used to deflect the needle.
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Question Description
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