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When several resistors are joined in series, the equivalent resistance of the combination is:
Question

When several resistors are joined in series, the equivalent resistance of the combination is:

A.

greater than the sum of the individual resistances

B.

equal to the sum of the individual resistances

C.

less than the sum of the individual resistances

D.

equal to the product of the individual resistances

Correct option is B

Correct Answer: (B) equal to the sum of the individual resistances

Explanation: When several resistors are connected in series, the equivalent resistance (Rₑ) is the sum of the individual resistances (R₁, R₂, R₃, ...). The total resistance in a series combination is given by the formula:

Req=R1+R2+R3+R_{eq} = R_1 + R_2 + R_3 + …​​

This is because the current has to pass through each resistor one after the other, resulting in the total resistance being the sum of the individual resistances.

Other Options:

  • greater than the sum of the individual resistances: This is incorrect. The total resistance is the sum, not greater.
  • less than the sum of the individual resistances: This is incorrect. In series, the total resistance is greater than any individual resistance.
  • equal to the product of the individual resistances: This is incorrect. The product of resistances is used when resistors are in parallel, not in series.

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