Paralleling technique obeys the following law:
**Question:** Paralleling technique obeys the following law:
A. Ohm's Law
B. Newton's Law of Cooling
C. Watt's Law
D. Ohm's Law and Newton's Law of Cooling
**Core Concept:** The paralleling technique is a method used in electronics and electrical engineering to combine multiple resistors to reduce the total resistance. The applicability of Ohm's Law, Newton's Law of Cooling, Watt's Law, and their combination to the paralleling technique helps understand the behavior and efficiency of the circuit.
**Why the Correct Answer is Right:**
The correct answer is **D. Ohm's Law and Newton's Law of Cooling**. Ohm's Law (V = I * R) relates to electrical resistance, while Newton's Law of Cooling (T_final = T_initial * (1 + (Q_final / Q_initial)) applies to temperature changes. In paralleling technique, we combine multiple resistors with different values. Ohm's Law helps us determine the total resistance (R_total) in the circuit:
R_total = R1 + R2 + ... + Rn
Newton's Law helps us understand the temperature change in the circuit due to the heat generated by the current flow. As the resistors are connected in parallel, the heat generated in one resistor is shared among all the resistors, causing a decrease in temperature of each resistor. This results in a decrease in the total resistance, which is why the total resistance decreases when connecting resistors in parallel.
**Why Each Wrong Option is Incorrect:**
A. Ohm's Law (V = I * R) is related to voltage, current, and resistance in a series circuit. In a parallel circuit, these values remain constant, making option A incorrect.
B. Newton's Law of Cooling is applicable to temperature changes in a thermodynamic system, not electrical resistance. This makes option B incorrect.
C. Watt's Law (P = IV) is related to power dissipation in a circuit. While the power dissipation decreases in a parallel circuit, it is not directly related to Ohm's Law or Newton's Law, making option C incorrect.
**Clinical Pearls:**
Paralleling resistors in a circuit reduces the total resistance, which is why the paralleling technique is essential in electronic devices to achieve higher current flow for a given voltage source. In medicine, paralleling is used in clinical settings to increase the flow of blood to an area, such as in the case of a patient with decreased blood flow due to stenosis (narrowing) of arteries. In such cases, paralleling the affected segment with a normal segment of the artery can increase blood flow to the area served by that artery, improving perfusion and tissue oxygenation.
**Why the Correct Option is Right:**
When resistors are connected in parallel, their total resistance (R_total) decreases as per the formula:
R_total = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn