Applying Kirchhoff's Voltage Law (KVL): You can determine voltages across parts of a series–parallel circuit by writing KVL around appropriate loops. True or false?

Introduction / Context:
Kirchhoff’s Voltage Law (KVL) is a fundamental tool for circuit analysis. It states that the algebraic sum of voltage rises and drops around any closed loop is zero. In series–parallel networks, KVL enables solving for unknown branch voltages when used in conjunction with Ohm’s law and, where needed, Kirchhoff’s Current Law (KCL).

Given Data / Assumptions:

• Resistive, linear circuit segments are considered for simplicity.
• Independent sources may be present.
• Loops can be identified that traverse series and parallel parts.

Concept / Approach:

In any loop, the sum of drops equals the sum of rises. By writing KVL equations around strategically chosen loops, and combining with known currents or resistances, unknown node or branch voltages are determined. KCL at nodes and equivalent reductions often complement KVL but do not negate its utility.

Step-by-Step Solution:

Verification / Alternative check:

KVL derives from conservation of energy in electromagnetics. Checking the computed voltages by back-substitution into the loop ensures the sum returns to zero, verifying consistency.

Why Other Options Are Wrong:

• Choosing “False” would imply KVL is inapplicable to series–parallel circuits, which is incorrect; in fact, such circuits are prime examples where KVL is routinely used.

Common Pitfalls:

Writing redundant loops that do not add independent information, sign errors in voltage rises/drops, and forgetting shared elements between loops. Consistent polarity marking prevents mistakes.

Final Answer:

True