Question

In a circuit with resistors and a voltage of \( V \), if a new resistor is added to the series combination, what will be the new potential?

• A. \( \frac{V}{2} \)
• B. \( 4V \)
• C. \( \frac{V}{4} \)
• D. \( \frac{V}{2} \)

Hint:

In a series circuit, adding resistors increases the total resistance, which reduces the overall current and affects the voltage across each component.

Answer 1

The Correct Option is A

Step 1: Understanding the effect of adding resistors.
When resistors are added to a series circuit, the total resistance increases, which reduces the total current flowing in the circuit. The voltage drop across each resistor will change as well.
Step 2: Calculating the new potential.
The new potential can be determined based on the new total resistance in the circuit, which reduces the potential across each resistor. Therefore, the new potential will be \( \frac{V}{2} \).
Step 3: Conclusion.
The new potential after adding a resistor to the series combination is \( \frac{V}{2} \), so the correct answer is (A).