Chudail ?
Ravu ?

two conducting wires of the same material, and of equal length and equal diameters are first conn

1 thought on “Chudail ?<br />Ravu ?<br /><br />two conducting wires of the same material, and of equal length and equal diameters are first conn”

1. [tex]\large\orange{\bold{\underline{Given \: That}}}[/tex]

   Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference.

   [tex]\large\orange{\bold{\underline{We \: need \: to \: find \: out}}}[/tex]

   We need to calculate the ratio of heat produced in series and parallel combination

   [tex]\large\orange{\bold{\underline{Solution:-}}}[/tex]

   Let us make the following assumptions to calculate the ratio of heat produced in series and parallel combination

   Let us assume the equivalent resistances of the wires if connected in series as Rs

   Let us assume the equivalent resistances of the wires if connected in parallel as Rp

   [tex]\large\orange{\bold{\underline{Formula}}}[/tex]

   For series combination

   Total resistance R = R1 + R2 + …………..

   So calculating the series resistance in the given combination we get

   RS =R+R=2R————-(i)

   For parallel combination

   Total resistance 1/R = 1/R1 + 1/R2 + …………..

   So calculating the parallel resistance in the given combination we get

   1/ RP = 1/R +1/R

   1/ RP = 2/R

   RP =R/2———-(ii)

   To find the ratio we will combine equations (i) and (ii) we get

   Rp/Rs = (R/2)/2R = 1/4

   The ratio of heat produced is 1/4

   [tex]\large\orange{\bold{\underline{Answer}}}[/tex]

   Hence the ratio of the resistances is 1/4

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