Physics
Grade-9
Easy

Question

A 47 Ω resistor, a 22 Ω resistor, and a 10 Ω resistor are connected in parallel. The total resistance is approximately

  1. 6 Ω
  2. 1/6 Ω
  3. 3 Ω
  4. 1/3 Ω

hintHint:

For resistors connected in parallel, the total resistance of circuit is equal to the sum of reciprocals of individual resistance of the resistors.

1 over R equals 1 over R subscript 1 plus 1 over R subscript 2 plus 1 over R subscript 3

The correct answer is: 6 Ω


    When a 47 Ω resistor, a 22 Ω resistor, and a 10 Ω resistor are connected in parallel, the total resistance is approximately 6Ω.
    • The formula that can calculate the total resistance in a parallel circuit= 1 over R subscript T equals 1 over R subscript 1 plus 1 over R subscript 2 plus 1 over R subscript 3
    • Given, R1, R2, and R3 are 47Ω, 22Ω, and 10Ω respectively.
    So, we can calculate
    rightwards double arrow1/RT= 1/47+1/22+1/10

    rightwards double arrow1/RT= 1/0.166= 6.02
    rightwards double arrowRT6.024
    • So the total resistance (RT) in the circuit is approx. 6 Ω.

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