Final answer:
To make the largest equivalent resistance out of resistors, they should be connected in series since the total resistance is the sum of all individual resistances.
Step-by-step explanation:
Maximizing Equivalent Resistance with Resistors
To achieve the largest equivalent resistance using a combination of resistors, they should be connected in series. In a series circuit, resistors are arranged in a single path for the current to flow through, which means the current is the same through each resistor. The total resistance is the sum of all individual resistances, which gives a higher equivalent resistance than when resistors are connected in parallel. When resistors are connected in parallel, the voltage across each resistor remains the same but the overall resistance decreases because the individual branch currents add up to the total current.
For maximizing resistance, serial connection is preferred over parallel. In parallel, the inverse of the total resistance is the sum of the inverses of each individual resistance, leading to a reduction in the overall resistance compared to any single resistor. Therefore, for the student's question, the correct choice is to connect the resistors in series (B).