Question

A three-phase motor (code letter $\mathrm{J}$ ) has a full-load current rating of 40 amperes, and a temperature rise of $40^{\circ} \mathrm{C}\left(104^{\circ} \mathrm{F}\right)$. a. What is the maximum size of fuses that can be used for branch-circuit protection? ____________________________________________________________________________________________________________________________________ b. What size of heaters would be used for running overload protection? ____________________________________________________________________________________________________________________________________

   A three-phase motor (code letter $\mathrm{J}$ ) has a full-load current rating of 40 amperes, and a temperature rise of $40^{\circ} \mathrm{C}\left(104^{\circ} \mathrm{F}\right)$.
a. What is the maximum size of fuses that can be used for branch-circuit protection?
____________________________________________________________________________________________________________________________________
b. What size of heaters would be used for running overload protection?
____________________________________________________________________________________________________________________________________
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Electricity 4: AC/DC Motors, Controls, and Maintenance
Electricity 4: AC/DC Motors, Controls, and Maintenance
Jeffrey J. Keljik 10th Edition
Chapter 13, Problem 7 ↓

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The problem states that the full-load current rating is 40 amperes.  Show more…

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A three-phase motor (code letter $\mathrm{J}$ ) has a full-load current rating of 40 amperes, and a temperature rise of $40^{\circ} \mathrm{C}\left(104^{\circ} \mathrm{F}\right)$. a. What is the maximum size of fuses that can be used for branch-circuit protection? ____________________________________________________________________________________________________________________________________ b. What size of heaters would be used for running overload protection? ____________________________________________________________________________________________________________________________________
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Key Concepts

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Motor Full?Load Current Rating
The full-load current rating of a motor represents the current that the motor draws under its rated load conditions and is a fundamental parameter for determining the appropriate sizes of overcurrent and thermal protection devices. This rating is crucial for making calculations that ensure protection devices such as fuses and overload heaters are neither too small (leading to nuisance tripping) nor too large (failing to provide adequate protection).
Branch?Circuit Overcurrent Protection (Fuse Sizing)
Selecting the correct fuse size for branch-circuit protection involves using the motor's full-load current rating and manufacturer’s or standard code-based multipliers to account for inrush currents and normal operating conditions. The maximum allowable fuse size is determined to ensure that the fuse will protect the wiring and the motor while accommodating temporary current peaks during startup, while still tripping in the case of a sustained overload or fault condition.
Thermal Overload Protection and Heater Sizing
Thermal overload protection in motors is typically provided by devices such as overload heaters that are calibrated to respond to excess heat generated by prolonged overcurrent conditions. The heater element is sized relative to the motor’s full-load current and temperature rise characteristics, ensuring that it accurately represents the motor's thermal behavior under overload conditions and cuts off the supply before thermal damage occurs.
Temperature Rise Considerations
Temperature rise is a measure of the amount of heat generated in the motor under load and is an important factor in determining the thermal limits of the motor and its protective devices. A specified temperature rise helps in setting the trip characteristics of both fuses and overload heaters so that they can protect the motor under varying load conditions. The acceptable temperature rise ensures that the motor insulation and other components do not exceed their rated thermal limits, thereby preserving the motor's longevity and safety.

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