Three 300-Ωresistors are connect in series with an AAA...

Three $300-\Omega$ resistors are connect in series with an AAA battery with a rating of 3 AmpHours. (a) How long can the battery supply the resistors with power? (b) If the resistors are connected in parallel, how long can the battery last?

Key Concepts

Discharge Time Calculation

Discharge time calculation involves dividing the battery’s capacity by the current draw from the circuit. This method assumes a constant current draw and enables estimation of how long the battery will last under specific load conditions.

Battery Capacity (Ampere-Hour Rating)

The battery capacity, measured in ampere-hours (Ah), indicates the amount of charge a battery can store and deliver over time. This rating is critical for estimating how long a battery can supply power based on the current drawn by the connected circuit.

Equivalent Resistance

Equivalent resistance is the single resistance that can replace a group of resistors connected in series or parallel without changing the current or voltage behavior of the circuit. Determining equivalent resistance is essential in both circuit analysis and in calculating power consumption.

Series Circuits

In a series circuit, all components are connected end-to-end so that the same current flows through each resistor sequentially. The total or equivalent resistance is the sum of all individual resistances, which affects the overall current flowing from the power source.

Ohm's Law

Ohm's Law establishes the relationship between voltage, current, and resistance in an electrical circuit. It is used to calculate one of these quantities when the other two are known, forming the basis for analyzing circuits, whether components are arranged in series or parallel.

Parallel Circuits

In a parallel circuit, components are connected across a common voltage source, so each resistor experiences the same voltage. The overall equivalent resistance is found by taking the reciprocal of the sum of the reciprocals of the individual resistances, resulting in a lower resistance than any one branch.

Transcript

Please give Ace some feedback