Published by:
CGP EDU Academic Team
Published on: September 12, 2026
For the circuit shown in figure, determine the unknown voltage drop V 1

Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Identify the circuit components.
The circuit consists of a voltage source (30 V) and several voltage drops: +2 V, +1 V, -5 V, and -3 V, along with the unknown voltage drop V1.
Step 2: Apply Kirchhoff's Voltage Law (KVL).
KVL states that the sum of the potential differences (voltage) around a closed loop in a circuit must equal zero. The equation can be formulated as follows:
\[ 30 - 5 - 3 + 2 + 1 + V_1 = 0 \]
Step 3: Simplify the equation.
Combine the constant voltages:
\[ 30 - 5 - 3 + 2 + 1 = 25 \]
Now substituting back into KVL equation:
\[ 25 + V_1 = 0 \]
Step 4: Solve for V1.
\[ V_1 = -25 \]
Step 5: Conclusion.
The unknown voltage drop V1 is -25 V, which corresponds to option B.
The circuit consists of a voltage source (30 V) and several voltage drops: +2 V, +1 V, -5 V, and -3 V, along with the unknown voltage drop V1.
Step 2: Apply Kirchhoff's Voltage Law (KVL).
KVL states that the sum of the potential differences (voltage) around a closed loop in a circuit must equal zero. The equation can be formulated as follows:
\[ 30 - 5 - 3 + 2 + 1 + V_1 = 0 \]
Step 3: Simplify the equation.
Combine the constant voltages:
\[ 30 - 5 - 3 + 2 + 1 = 25 \]
Now substituting back into KVL equation:
\[ 25 + V_1 = 0 \]
Step 4: Solve for V1.
\[ V_1 = -25 \]
Step 5: Conclusion.
The unknown voltage drop V1 is -25 V, which corresponds to option B.
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