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    高中物理編輯
    2019-2020學年高中物理全冊模塊要點回眸第13點交變電流圖象理解的“一二三”學案粵教版選修3-2
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    資源簡介
    第13點 交變電流圖象理解的“一二三”
    正弦式交變電流的圖象是正弦函數圖象,但初相不一定是0,即不一定從中性面開始計時.結合法拉第電磁感應定律,從數學意義上講,單匝線圈的電動勢就是磁通量的變化率(磁通量對時間的導數)
    分析物理圖象的要點:
    一看:看“軸”、看“線”、看“斜率”、看“點”、看“截距”、看“面積”、看“拐點”,并理解其物理意義.
    二變:掌握“圖與圖”“圖與式”和“圖與物”之間的變通關系.
    對于正弦式交變電流的變化規律,不應只從其隨時間按正弦規律變化這一點去認識,還應看到交變電流的電動勢隨線圈在勻強磁場中空間位置的變化而變化,隨線圈磁通量的變化而變化.
    三判:在此基礎上進行正確的分析和判斷.
    對點例題 (多選)在磁感應強度為B的勻強磁場中,一個面積為S的矩形線圈勻速轉動時產生的交流電壓隨時間變化的波形如圖1所示,線圈與一阻值R9Ω的電阻串聯在一起,線圈的電阻為1Ω,則(  )
    1
    A.通過電阻R的電流瞬時值表達式為i10sin (200πt) A
    B.電阻R兩端的電壓有效值為90V
    C1s內電阻R上產生的熱量為450J
    D.圖中t1×102s時,線圈位于中性面
    解題指導 通過電阻R的電流最大值Im10 A,線圈轉動的角速度ωrad/s100π rad/s,故電流的瞬時值表達式為i10sin (100πt) AA項錯誤;電阻R兩端的電壓有效值為UR×9V45VB項錯誤;1s內電阻R上產生的熱量Qt450JC項正確;由題圖知t1×102s時感應電動勢為零,此時穿過線圈的磁通量最大,線圈位于中性面,D項正確.
    答案 CD
    1.小型交流發電機中,矩形金屬線圈在勻強磁場中勻速轉動,產生的感應電動勢與時間呈正弦函數關系,如圖2所示.此線圈與一個R10Ω的電阻構成閉合電路,不計電路的其他電阻,下列說法正確的是 (  )
    2
    A.交變電流的周期為0.125s
    B.交變電流的頻率為8Hz
    C.交變電流的有效值為A
    D.交變電流的最大值為4A
    答案 C
    解析?由題圖可知,交變電流的周期為0.250 s,頻率為4 Hz,交變電流的最大值為 A2 A,有效值為 A A,所以應選C.
    2.某交流發電機給燈泡供電,產生正弦式交變電流的圖象如圖3所示,下列說法中正確的是(  )
    3
    A.交變電流的頻率為0.02Hz
    B.交變電流的瞬時值表達式為i5cos (50πt) A
    C.在t0.01s時,穿過交流發電機線圈的磁通量最大
    D.若發電機線圈電阻為0.4Ω,則其產生的熱功率為5W
    答案 D
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