Question

A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value, \( R \), will behave as a

• A. \( \text{resistor of value } R \)
• B. \( \text{nullator} \)
• C. \( \text{open circuit} \)
• D. \( \text{short circuit} \)

Hint:

Any element in series with a nullator will inherit the nullator's properties — zero voltage and zero current — and will therefore behave like a nullator.

Answer 1

The Correct Option is B

A nullator is a two-terminal device that enforces both:

\[ V = 0 \quad \text{and} \quad I = 0 \]

Now consider a resistor \( R \) in series with a nullator. For the series combination:

The current through the entire series path must be the same. Since a nullator forces \( I = 0 \), the current through the resistor is also 0.

The nullator also forces \( V = 0 \), which means that the total voltage across the entire series combination must also be zero.

So, both current and voltage across the entire combination are zero, meaning it behaves as a nullator, regardless of the resistor.