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Two resistors of resistance R1=100+-3 ohm and R2=200+-4 ohm are connected in parallel. Equivalent resistance of the parallel combination is?
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Two resistors of resistance R1=100+-3 ohm and R2=200+-4 ohm are connec...
Equivalent Resistance of Parallel Combination of Two Resistors


To calculate the equivalent resistance of the parallel combination of two resistors, we will follow the steps below:


Step 1: Identify the Values of the Resistors



  • R1 = 100 -3 ohm

  • R2 = 200 -4 ohm



Step 2: Calculate the Conductances of the Resistors


The conductance of a resistor is the reciprocal of its resistance. We can calculate the conductances of R1 and R2 as follows:



  • G1 = 1 / R1 = 1 / (100 -3) = 0.010309 Mho

  • G2 = 1 / R2 = 1 / (200 -4) = 0.005076 Mho



Step 3: Calculate the Total Conductance of the Parallel Combination


The total conductance of the parallel combination is simply the sum of the conductances of the individual resistors:



  • G = G1 + G2 = 0.010309 + 0.005076 = 0.015385 Mho



Step 4: Calculate the Equivalent Resistance of the Parallel Combination


The equivalent resistance of the parallel combination is the reciprocal of the total conductance:



  • R = 1 / G = 1 / 0.015385 = 65 ohm



Conclusion


The equivalent resistance of the parallel combination of R1 and R2 is 65 ohm.
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Two resistors of resistance R1=100+-3 ohm and R2=200+-4 ohm are connec...
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Two resistors of resistance R1=100+-3 ohm and R2=200+-4 ohm are connected in parallel. Equivalent resistance of the parallel combination is?
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