In a parallel circuit, the voltage drops across each of the branches is the same as the voltage gain in the battery. Thus, the voltage drop is the same across each of these resistors. ... The potential of start and end point of all parallel circuits being same, their potential difference is also same.

Explanation of Voltage in Parallel Combination

In a parallel combination of wires, the voltage remains equal in every branch. This is because of the following reasons:

Ohm's Law

According to Ohm's law, the voltage (V) is directly proportional to current (I) and resistance (R) in a circuit. Therefore, if the voltage is the same in every branch of a parallel combination, then the current and resistance must also be the same.

Equal Potential Points

In a parallel combination, all the branches are connected to the same two points. These two points are called the equal potential points. Since the voltage is the same at these two points, it follows that the voltage must also be the same in every branch.

Path of Least Resistance

In a parallel combination, each branch provides a different path for the current to flow. However, the current will always choose the path of least resistance. This means that the branch with the least resistance will have the most current flowing through it. As a result, the voltage drop across each branch will be the same.

Conclusion

In summary, the voltage remains equal in every branch of a parallel combination because of Ohm's law, equal potential points, and the path of least resistance. This principle is important in electrical engineering and is used in the design of circuits for various applications.