Designing a multi-tap divider from 24 V: To simultaneously derive 18 V and 12 V from a 24 V supply, a voltage divider must have three intermediate taps. True or false?

Introduction / Context:
Voltage dividers are frequently used to obtain multiple DC levels from a single supply. The number of taps required depends on how many distinct output voltages you need and how you count taps (endpoints vs. intermediate points). Precision matters in instrumentation and bias networks.

Given Data / Assumptions:

• Supply is 24 V (top node) with a ground reference (0 V, bottom node).
• Desired outputs: 18 V and 12 V simultaneously.
• We refer to “taps” as intermediate output nodes along the divider between the endpoints.

Concept / Approach:

To obtain two distinct intermediate voltages (18 V and 12 V), you need two intermediate tap points along the resistor string: one at 18 V and another at 12 V. The endpoints (24 V and 0 V) are not counted as “intermediate taps.” Therefore, only two taps are required, not three.

Step-by-Step Solution:

Verification / Alternative check:

If each section is sized for the desired voltage ratios (e.g., piecewise proportional resistances), measuring the nodes confirms 18 V and 12 V are achieved using exactly two intermediate nodes. Adding a third intermediate tap would create an extra, unnecessary voltage level.

Why Other Options Are Wrong:

• Selecting “True” miscounts taps by treating endpoints as taps or by assuming an extra node is needed.

Common Pitfalls:

Forgetting that load currents alter divider voltages unless buffered; in practice, a follower or regulator may be needed to maintain accurate 18 V and 12 V under load.

Final Answer:

False