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?
RT=R0(1+α0Δ T)R_T=R_0(1+\alpha_0\Delta\>T)RT=R0(1+α0ΔT)
Pmax=Imax2 RTP_{max}=I^2_{max}\>R_TPmax=Imax2RT
T0=150°cT_0=150°cT0=150°c
R0=0.2ΩR_0=0.2\OmegaR0=0.2Ω
α0=0.0043/°c\alpha_0=0.0043/°cα0=0.0043/°c
Pmax=600wP_{max}=600wPmax=600w
Δ T=55°c\Delta\>T=55°cΔT=55°c
RT=0.2(1+0.0043×55)R_T=0.2(1+0.0043×55)RT=0.2(1+0.0043×55)
=0.2473=0.2473=0.2473
600=Imax2×0.2473600=I^2_{max}×0.2473600=Imax2×0.2473
Imax2=2426.2I^2_{max}=2426.2Imax2=2426.2
Imax=49.26AI_{max}=49.26AImax=49.26A
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