Four unequal resistors are connected in a series circuit. Which one of the following statements is correct about this circuit?Group of answer choicesThe total resistance is equal to any one of the resistances.The total resistance is less than the smallest resistance.The total resistance is less than the largest resistance.The total resistance is more than the largest resistance.
Question
Four unequal resistors are connected in a series circuit. Which one of the following statements is correct about this circuit?Group of answer choicesThe total resistance is equal to any one of the resistances.The total resistance is less than the smallest resistance.The total resistance is less than the largest resistance.The total resistance is more than the largest resistance.
Solution
The correct statement about this circuit is: The total resistance is more than the largest resistance.
Here's why:
In a series circuit, the total resistance (R_total) is the sum of all individual resistances (R1, R2, R3, R4...).
So, R_total = R1 + R2 + R3 + R4
Since all resistances are unequal and have a value, the total resistance will always be more than any individual resistance. Therefore, the total resistance is more than the largest resistance.
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