The resistance of Element 3 (R) is calculated by subtracting the known resistances of the other two elements from the total resistance. Using the total resistance of 350 ohms and subtracting the resistances of 120 ohms and 90 ohms for Elements 1 and 2, the resistance of Element 3 is determined to be 140 ohms.
To find the resistance of Element 3 (R) in the circuit, we need to use the formula for the total resistance in a series circuit:
Total Resistance (T) = Element 1 (A) + Element 2 (B) + Element 3 (R)
We are given the following values:
Element 1 (A) = 120 ohms
Element 2 (B) = 90 ohms
Total Resistance (T) = 350 ohms
To solve for R, we rearrange the equation:
R = T - A - B
Substituting the known values gives us:
R = 350 ohms - 120 ohms - 90 ohms
R = 140 ohms
Therefore, the resistance of Element 3 is 140 ohms.
The probable question may be:
In a circuit with three elements labeled as Element 1, Element 2, and Element 3, the "hot" resistance of Element 3 (R) is given in ohms. The known resistances of Element 1 (A) and Element 2 (B) are 120 ohms and 90 ohms, respectively. If the total resistance in the circuit is 350 ohms, what is the resistance of Element 3 (R)?
Additional Information:
Consider that the total resistance (T) in a series circuit is the sum of individual resistances (R1, R2, R3, ...). The formula for the total resistance in a series circuit is:
T=R1+R2+R3
Options:
A) 140 ohms
B) 160 ohms
C) 110 ohms
D) 100 ohms