Question

Out of a combination of resistors, one resistor is removed, and it is found that the net resistance has increased. The resistor was connected in:

• A. Parallel
• B. Series
• C. Cannot be said
• D. None of these

Hint:

In a parallel circuit, removing a resistor increases total resistance, whereas in a series circuit, removing a resistor decreases total resistance.

Answer 1

The Correct Option is A

Step 1: Understanding the effect of removing a resistor. In a parallel circuit, the total resistance is given by: \[ \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ... \] Removing a resistor from a parallel circuit reduces the number of available pathways for current flow, increasing the total resistance.
Step 2: Explanation of incorrect options.
- Series connection: Removing a resistor in series decreases total resistance.
- Cannot be said and None of these are incorrect as the behavior is predictable.