Question

The algebraic sum of voltages around any closed path in a network is equal to ____.

• A. Infinity
• B. 1
• C. 0
• D. Negative polarity % This option seems malformed, assuming it's just text.

Hint:

Kirchhoff's Voltage Law (KVL). The algebraic sum of the potential differences (voltages) around any closed loop in a circuit is always zero. \( \sum \Delta V = 0 \).

Answer 1

The Correct Option is C

This question refers to Kirchhoff's Voltage Law (KVL)
KVL is based on the principle of conservation of energy and states that for any closed loop or path in an electrical network, the algebraic sum of the electromotive forces (voltage sources) is equal to the algebraic sum of the voltage drops across the circuit elements (like resistors)
Alternatively, it states that the algebraic sum of all potential differences (voltages) around any closed loop is zero
$$ \sum_{\text{closed loop}} \Delta V = 0 $$ This means that if you start at any point in a closed loop and traverse the loop, measuring the voltage rises and drops, you will return to the starting point with the same potential, hence the net change (algebraic sum) is zero
Therefore, the algebraic sum of voltages around any closed path is equal to 0