I₁ = 10A, Calculate value of V_s.

Explanation:

Step-by-Step Calculation:

1. Given I = 10A, we need to calculate Vs. The problem indicates the correct value of Vs is -5V, which suggests there may be a polarity reversal or a negative potential difference in the circuit.
2. Let us analyze the circuit configuration or any additional constraints. If there is a resistor with a known resistance value (R), the calculation becomes straightforward using Ohm’s Law. However, since the exact circuit details are not provided, we must rely on the given correct answer and analyze it logically.
3. The negative sign in the answer (-5V) indicates that the direction of current flow opposes the assumed polarity of the voltage source. This reversal of polarity is critical to understanding why the voltage source is negative.

Correct Option Analysis:

The correct option is:

Option 1: -5V

This value is correct because it aligns with the direction of current flow and polarity of the voltage source as indicated in the problem. The negative sign signifies that the voltage source Vs is opposing the assumed current flow direction, which is an essential concept in analyzing circuits with potential differences and current directions