In a closed electrical loop supplied by 10 V, two resistors produce voltage drops of 6 V and 4 V, respectively. Which statement correctly expresses Kirchhoff’s Voltage Law for this loop?
The algebraic sum of all voltages around the loop is zero
In this problem, we are asked to correctly express Kirchhoff's Voltage Law (KVL) for a given electrical loop. Kirchhoff's Voltage Law states that the sum of the electromotive forces (EMFs) and voltage drops around any closed loop in a circuit must equal zero. This principle is fundamental to electrical engineering and is used to solve circuit problems.
Let's examine the given parameters in the problem:
Given these parameters, we can apply Kirchhoff's Voltage Law:
V_{source} - V_{drop1} - V_{drop2} = 0
Substituting the given values:
10\,V - 6\,V - 4\,V = 0
Calculating the above expression, we find:
0 = 0
This calculation confirms that the option stating "The algebraic sum of all voltages around the loop is zero" is correct. Let's briefly analyze why the other options are incorrect:
Hence, the statement "The algebraic sum of all voltages around the loop is zero" accurately reflects Kirchhoff's Voltage Law.
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