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Question

What is the minimum resistance which can be made using five resistors each of 15Ω .


A

15Ω

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B

125Ω

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C

110Ω

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D

25Ω

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Solution

The correct option is B

125Ω


Step1: Given data

Every five resistors are of 15Ω

Step2: Resistors in parallel

  1. When the voltage across the resistors is the same, the circuit is said to be linked in parallel.
  2. In a parallel circuit, a resistor or any other component can be readily attached or detached without impacting the other elements.
  3. The current in a series connection is constant, whereas the voltage in a parallel connection is constant throughout the circuit.
  4. As a result, parallel connections are favored in household equipment.
  5. Demonstrating with the help of a figure

Step3: The formula for parallel resistors

1Rp=1R1+1R2+....+1Rn[whereR1,R2,....,Rnaretheresistorsconnectedinparallel.]

Step4: Calculating the minimum resistance

Connecting the resistors in parallel

1R=115+115+115+115+1151R=5+5+5+5+51R=25ΩR=125Ω

Hence, The minimum resistance is obtained when resistors are connected in parallel.


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