Several resistors are connected in series. Which of the following statements are

Question

Several resistors are connected in series. Which of the following statements are true of the corresponding equivalent resistance? (Select all that apply.)

- It is equal to the sum of the resistances of all the individual resistors.

- It is equal to the reciprocal of the sum of the inverses of the resistances of all the resistors.

- It is less than the resistance of any of the individual resistors.

- It is dependent on the voltage applied across the group.

- It is greater than the resistance of any of the individual resistors.

Explanation / Answer

since all  resistors are connected in series  then, we get the equivalent resistance as-
R= r1+r2+r3. so a is true. e, is correct too due to its statement and the equivalent resistance does not depend on the voltage applied at its ends. The voltage of each resistor separately is that depends on the value of the resistance.

so the true statements are following:

- It is equal to the sum of the resistances of all the individual resistors.

- It is greater than the resistance of any of the individual resistors.

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