हिंदी

An Electric Lamp a of 40 W and Another Electric Lamp B of 100 W Are Connected to 220 V Supply. Calculate the Ratio of Their Filament Resistances?

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प्रश्न

An electric lamp A of 40 W and another electric lamp B of 100 W are connected to 220 V supply. Calculate the ratio of their filament resistances?

योग
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उत्तर

P = `"V.I" = "V.V"/"R"`

`40 = (220)^2/"R"_"A"`

RA = `(220 xx 220)/40`

RA  = 110 × 11

P = `"V"^2/"R"`

`100 = (220)^2/"R"_"B"`

`"R"_"B" = (220 xx 220)/100`

RB= 22 × 22 

`"R"_"A"/"R"_"B" = (110 xx 11)/(22 xx 22) = 5/2 = 5 : 2`

`"R"_"A"/"R"_"B" = 5: 2`

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