Which of these equations best describes resistance in a DC series circuit?A. V1 = IR1, V2 = IR2, V3 = IR3B. IRT = IR1 + IR2 + IR3C. V = V1 + V2 + V3I = I1 + I2 + I3R = R1 + R2 + R3
Question
Which of these equations best describes resistance in a DC series circuit?A. V1 = IR1, V2 = IR2, V3 = IR3B. IRT = IR1 + IR2 + IR3C. V = V1 + V2 + V3I = I1 + I2 + I3R = R1 + R2 + R3
Solution
The equation that best describes resistance in a DC series circuit is C. V = V1 + V2 + V3, I = I1 + I2 + I3, R = R1 + R2 + R3.
Here's why:
In a DC series circuit, the total voltage (V) is the sum of the individual voltages across each component (V1, V2, V3, etc.). This is represented by the equation V = V1 + V2 + V3.
The current (I) in a series circuit is the same at all points in the circuit. Therefore, I = I1 = I2 = I3.
The total resistance (R) in a series circuit is the sum of the individual resistances of each component (R1, R2, R3, etc.). This is represented by the equation R = R1 + R2 + R3.
So, option C is the correct one.
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