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Induced Current While the Field Changes

Difficulty: Easy · Topics: Electromagnetic Induction, Faraday's Law

Maydon o‘zgarayotgandagi induksion tok

Figure (A) shows a circular conductor in a uniform magnetic field perpendicular to the page; figure (B) shows the field strength against time. If the induced current is I 1 for 0 < t < t 0 (interval 1) and I 2 for t 0 < t < 5t 0 (interval 2), what is I 1 : I 2?

physics "view":[-0.3,-1.45,10.0,3.45],"alt":"(A) A circular loop in a uniform field into the page. (B) The field rises from 0 to B0 during 0–t0, then falls to 0 at 5t0.","items":["type":"field","from":[0.2,0.2],"to":[3.2,2.9],"step":0.9,"type":"ellipse","at":[1.55,1.55],"rx":1.1,"ry":1.1,"width":2,"type":"label","at":[1.55,1.75],"text":"B","anchor":"c","size":15,"math":true,"type":"label","at":[1.6,-0.55],"text":"(A)","anchor":"c","size":14,"type":"plot","at":[4.8,0.2],"size":[4.6,2.7],"x":[0,5.5],"y":[0,1.2],"xTicks":[1,5],"yTicks":[1],"xTickLabels":["t 0","5t 0"],"yTickLabels":["B 0"],"grid":false,"xLabel":"Time","yLabel":"Magnetic field","yLabelMode":"side","yLabelGap":44,"xLabelMode":"below","xLabelGap":34,"originLabel":"0","items":["type":"polyline","points":[[0,0],[1,1],[5,0]],"width":2.2,"colour":"positive","type":"guide","at":[1,1],"to":"both","type":"label","at":[0.6,0.25],"text":"(1)","size":13,"type":"label","at":[2.4,0.25],"text":"(2)","size":13],"type":"label","at":[7.1,-1.15],"text":"(B)","anchor":"c","size":14]

(A) rasmda chizma tekisligiga perpendikulyar bir jinsli magnit maydondagi doiraviy o‘tkazgich, (B) rasmda esa maydon induksiyasining vaqtga bog‘liqligi ko‘rsatilgan. Agar induksion tok 0 < t < t 0 da (1-oraliq) I 1, t 0 < t < 5t 0 da (2-oraliq) I 2 bo‘lsa, I 1 : I 2 nimaga teng?

physics "view":[-0.3,-1.45,10.0,3.45],"alt":"(A) A circular loop in a uniform field into the page. (B) The field rises from 0 to B0 during 0–t0, then falls to 0 at 5t0.","items":["type":"field","from":[0.2,0.2],"to":[3.2,2.9],"step":0.9,"type":"ellipse","at":[1.55,1.55],"rx":1.1,"ry":1.1,"width":2,"type":"label","at":[1.55,1.75],"text":"B","anchor":"c","size":15,"math":true,"type":"label","at":[1.6,-0.55],"text":"(A)","anchor":"c","size":14,"type":"plot","at":[4.8,0.2],"size":[4.6,2.7],"x":[0,5.5],"y":[0,1.2],"xTicks":[1,5],"yTicks":[1],"xTickLabels":["t 0","5t 0"],"yTickLabels":["B 0"],"grid":false,"xLabel":"Vaqt","yLabel":"Magnit maydon","yLabelMode":"side","yLabelGap":44,"xLabelMode":"below","xLabelGap":34,"originLabel":"0","items":["type":"polyline","points":[[0,0],[1,1],[5,0]],"width":2.2,"colour":"positive","type":"guide","at":[1,1],"to":"both","type":"label","at":[0.6,0.25],"text":"(1)","size":13,"type":"label","at":[2.4,0.25],"text":"(2)","size":13],"type":"label","at":[7.1,-1.15],"text":"(B)","anchor":"c","size":14]

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