Answer :

GinnyAnswer
The statement "The total resistance of two parallel resistors is the product of the two divided by their sum" is False. In parallel, the total resistance (R_total) of two resistors (R1 and R2) is calculated using the formula: 1/R_total = 1/R1 + 1/R2 This formula shows that the reciprocal of the total resistance is equal to the sum of the reciprocals of the individual resistances. Therefore, the total resistance in a parallel circuit is not simply the product of the resistors divided by their sum, as mentioned in the statement. To further clarify: - If you have two resistors, R1 = 3 ohms and R2 = 6 ohms: - Using the formula above, 1/R_total = 1/3 + 1/6 = 2/6 + 1/6 = 3/6 - Therefore, R_total = 6/3 = 2 ohms This calculation shows that the total resistance in a parallel circuit is not obtained by dividing the product of the resistors by their sum, as the statement incorrectly suggests.
sayedsab777

Answer:

The statement provided is: "The total resistance of two parallel resistors is the product of the two divided by their sum." To determine if this statement is true or false, we need to recall the formula for calculating the total resistance of two parallel resistors. In a circuit with two parallel resistors, the total resistance (R_total) can be calculated using the formula:

Rtotal

can see that the statement

1 + Where: - Rtotal is the total resistance of the parallely combination. - R_{1} and R_{2} are the individual resistances of the two resistors. Now, let's compare this formula with the statement provided: "The total resistance of two parallel resistors is the product of the two divided by their sum." This statement claims that the total resistance is calculated as: (R_{1}*R_{2})/(R_{1} + R_{2}) Comparing the two formulas, we

Explanation:

provided in the question is incorrect. The actual formula for calculating the total resistance of two parallel resistors involves reciprocals of the individual resistances, not their product divided by their sum. Therefore, the correct answer to the question is: B.

False It's important to use the correct formula to calculate the total resistance in parallel resistor circuits to ensure accurate results in practical applications.

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