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In electrodynamometer movement, the deflection of the pointer is:
- a)inversely proportional to the current
- b)directly proportional to the current
- c)inversely proportional to the current squared
- d)directly proportional to the current squared
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In electrodynamometer movement, the deflection of the pointer is:a)inv...
In all instruments except the Moving coil, the measured value is directly proportional to the square of response. They exhibit square law.
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In electrodynamometer movement, the deflection of the pointer is:a)inv...
Understanding Electrodynamometer Movement
The electrodynamometer movement is primarily used in measuring electrical current and voltage. The operation of this type of instrument is based on the interaction between magnetic fields generated by electric currents.
How Deflection Works
- In an electrodynamometer, two coils are placed in a magnetic field.
- When current passes through these coils, they create their own magnetic fields, which interact with each other.
Proportionality of Deflection
- The deflection of the pointer is determined by the torque produced by the interaction of the magnetic fields.
- This torque is proportional to the product of the currents flowing through the two coils.
Current and Torque Relationship
- If I1 and I2 are the currents in the coils, the torque (τ) can be expressed as:
τ ∝ I1 * I2
- For a device measuring current, I1 is often constant, so:
τ ∝ I * I
Conclusion: Direct Proportionality to Current Squared
- This means the deflection (D) of the pointer is directly proportional to the square of the current (I):
D ∝ I^2
Thus, the correct answer is option 'D': the deflection of the pointer is directly proportional to the current squared. This quadratic relationship explains why small changes in current can lead to significant changes in deflection, making electrodynamometer instruments highly sensitive and accurate for measuring electrical current.
The electrodynamometer movement is primarily used in measuring electrical current and voltage. The operation of this type of instrument is based on the interaction between magnetic fields generated by electric currents.
How Deflection Works
- In an electrodynamometer, two coils are placed in a magnetic field.
- When current passes through these coils, they create their own magnetic fields, which interact with each other.
Proportionality of Deflection
- The deflection of the pointer is determined by the torque produced by the interaction of the magnetic fields.
- This torque is proportional to the product of the currents flowing through the two coils.
Current and Torque Relationship
- If I1 and I2 are the currents in the coils, the torque (τ) can be expressed as:
τ ∝ I1 * I2
- For a device measuring current, I1 is often constant, so:
τ ∝ I * I
Conclusion: Direct Proportionality to Current Squared
- This means the deflection (D) of the pointer is directly proportional to the square of the current (I):
D ∝ I^2
Thus, the correct answer is option 'D': the deflection of the pointer is directly proportional to the current squared. This quadratic relationship explains why small changes in current can lead to significant changes in deflection, making electrodynamometer instruments highly sensitive and accurate for measuring electrical current.
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In electrodynamometer movement, the deflection of the pointer is:a)inv...
In all instruments except the Moving coil, the measured value is directly proportional to the square of response. They exhibit square law.
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In electrodynamometer movement, the deflection of the pointer is:a)inversely proportional to the currentb)directly proportional to the currentc)inversely proportional to the current squaredd)directly proportional to the current squaredCorrect answer is option 'D'. Can you explain this answer?
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