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With the help of a circuit diagram prove that when a number of resistors are connected in parallel, the reciprocal of equivalent resistance of the combination is equal to the sum of the reciprocals of the individual resistances of the resistors. Pind the resistance between A and B in the given network b zn A a 411 C B CBSE Class X Science LA (5 Marks) |
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Answer» 1/Req = 1/R₁ +1/R₂ + 1/R₃ +.........................+ 1/RₙExplanation:Let say there are n RESISTORS Connected in ParallellR₁ , R₂ , R₃ ,...........................RₙAnd Volatge applied = Vas RESISTANCE are in parallel so voltage across Each Resistance = VCurren through each resistore respectivelyI₁ , I₂ , I₃ ................................ IₙTotal Current I = I₁ + I₂ + I₃ +................................+ Iₙ=> V/Req = V/R₁ +V/R₂ + V/R₃ +.........................+ V/Rₙdividing by V both sides=> 1/Req = 1/R₁ +1/R₂ + 1/R₃ +.........................+ 1/Rₙhence the reciprocal of equivalent resistance of the COMBINATION is equal to the SUM of the reciprocals of the individual RESISTANCES of the resistors. |
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