Hypothesis on voltage homework

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SUMMARY

The discussion centers on understanding the relationship between voltage, magnetic field strength, and the number of loops in a coil within a DC motor, specifically regarding their impact on efficiency. The efficiency equation provided is Eff=(mgh/t)/VI*100, where mass and height are constants. Torque is defined by the equation τ=BAIN, where B is magnetic field strength, A is the cross-sectional area, I is current, and N is the number of loops. Participants clarify that torque can be calculated by measuring the force applied to a mass and the distance from the rotation axis of the motor.

PREREQUISITES
  • Understanding of the efficiency equation in physics
  • Knowledge of torque calculation in DC motors
  • Familiarity with basic electromagnetism concepts
  • Ability to perform measurements related to force and distance
NEXT STEPS
  • Research the relationship between voltage and torque in DC motors
  • Learn how to calculate torque using force and distance measurements
  • Explore the effects of varying magnetic field strength on motor efficiency
  • Study the impact of coil design on the performance of DC motors
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Students studying physics, electrical engineers, and anyone interested in optimizing the performance of DC motors through an understanding of efficiency and torque calculations.

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Homework Statement


I have make a hypothesis saying what changing voltage, magnetic field strength and number of loops in a coil in a DC motor do to effect efficiency using the efficiency equation below. I can't understand how torque is related at all.

mass and height are constant

I have no idea how to prove this

Homework Equations



efficiency equation:
Eff=(mgh/t)/VI*100

mass and height are constant

torque in a dc motor:
τ=BAIN

B is magnetic field strength
A is cross sectional area of the coil in the motor, I is current, N is the number of loops in the coil.How can i find torque by timing how long it takes a motor to lift a constant mass at a constant height? Maybe that doesn't make sense? I don't even know anymore...
 
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ccnv said:

Homework Statement


I have make a hypothesis saying what changing voltage, magnetic field strength and number of loops in a coil in a DC motor do to effect efficiency using the efficiency equation below. I can't understand how torque is related at all.

mass and height are constant

I have no idea how to prove this

Homework Equations



efficiency equation:
Eff=(mgh/t)/VI*100

mass and height are constant

torque in a dc motor:
τ=BAIN

B is magnetic field strength
A is cross sectional area of the coil in the motor, I is current, N is the number of loops in the coil.


How can i find torque by timing how long it takes a motor to lift a constant mass at a constant height? Maybe that doesn't make sense? I don't even know anymore...

You can get the force applied to the mass being lifted. You also need to know the distance from the string or rope (that lifts the mass) to the rotation axis of the motor. Often this is simply the radius of a wheel that the string is wound around.

From force and distance, you can calculate what the torque is.
 

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