Why the potential difference is constant of resistors in parallel combinations?

Question

Answer

In parallel combination potential difference is same across each and every resistor in parallel combination. But why ?

To answer this question we need to know a very small but important law known as the Kirchhoff Voltage Law which states that, the sum of all the potentials in a closed loop is always equal to zero. For the sake of understanding let us assume a circuit consisting of battery of potential V and three resistors in parallel combination.

Now apply Kirchhoff voltage law for only one branch neglecting the other two and repeat this step for the remaining two resistors also. In any case you will get that potential across each resistor is same and is equal to V.

Answer

In parallel circuits, the electric potential difference across each resistor (ΔV) is the same. The current in a resistor follows Ohm's law: I = ΔV / R. Since the ΔV is the same for each resistor, the current will be smallest where the resistance is greatest.

Answer

In parallel circuits, the electric potential difference across each resistor (ΔV) is the same.

Answer

Potential difference of resistors in a parallel combination is constant because all the resistors have same(2) ending points which affects the potential difference of the resistors by creating a specific pressure for all the resistors.

I hope you understood..!!

Thank You.

Answer

Constant Potential Difference in Resistors in Parallel Combinations

Resistance in parallel circuits is based on the fact that the potential difference across each branch is the same. This concept can be explained in detail as follows:

Ohm's Law
- According to Ohm's Law, the potential difference (V) across a resistor is directly proportional to the current (I) flowing through it and inversely proportional to the resistance (R) of the resistor.
- Mathematically, V = IR.

Parallel Circuit Arrangement
- In a parallel circuit, resistors are connected across the same voltage source, resulting in the same potential difference (V) across each resistor.
- This means that the potential difference remains constant across all resistors in parallel.

Current Division
- When resistors are connected in parallel, the total current entering the parallel combination is divided among the individual resistors according to their resistance values.
- The potential difference remains the same across each resistor, but the current flowing through each resistor may vary depending on its resistance.

Constant Potential Difference
- Due to the constant potential difference across resistors in parallel combinations, the voltage drop remains the same across each resistor.
- This leads to different currents flowing through each resistor, depending on their resistance values, while maintaining a constant potential difference.

In conclusion, the potential difference is constant across resistors in parallel combinations due to the arrangement of the circuit and the principles of Ohm's Law. This ensures that each resistor receives the same voltage drop, allowing for different currents to flow through each resistor based on their individual resistance values.

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