Question #276416

An armature has a resistance of 0.2 Ω at 150°C and the armature Cu loss is to be limited to 600 watts with a temperature rise of 55°C. If α0 for Cu is 0.0043/°C, what is the maximum current that can be passed through the armature?

1
Expert's answer
2021-12-07T20:14:40-0500

RT=R0(1+α0ΔT)R_T=R_0(1+\alpha_0\Delta\>T)


Pmax=Imax2RTP_{max}=I^2_{max}\>R_T


T0=150°cT_0=150°c

R0=0.2ΩR_0=0.2\Omega

α0=0.0043/°c\alpha_0=0.0043/°c

Pmax=600wP_{max}=600w

ΔT=55°c\Delta\>T=55°c

RT=0.2(1+0.0043×55)R_T=0.2(1+0.0043×55)

=0.2473=0.2473


600=Imax2×0.2473600=I^2_{max}×0.2473


Imax2=2426.2I^2_{max}=2426.2

Imax=49.26AI_{max}=49.26A


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