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Greetings everyone,

I am currently doing a design project on solenoids/electromagnets. What I need to specifically calculate is the operating temperature of the solenoid winding under operating conditions. The solenoid is within a metal casing with specified thermal properties and I have values of voltage, ambient temperature, coil resistance (at 25degrees), power, current and number of turns. Is it possible to estimate the temperature of the wire? I'm thinking that solving this requires the use of the heat equation in 1d and treating the winding as just a simple length of wire, but the fact that there is an ambient temperature also influencing the temperature of the winding confuses me greatly. Any help would be much appreciated.

Regards.

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# Estimating operating temperature of wire.

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