An automobile starter motor has an equivalent resistance of 0.0500 Ωand is supplied by a 12.0-V

step 1 So here we're going to look at this first circuit and we're going to solve for the current flowi

An automobile starter motor has an equivalent resistance of...

An automobile starter motor has an equivalent resistance of $0.0500 \Omega$ and is supplied by a $12.0-\mathrm{V}$ battery with a $0.0100-\Omega$ internal resistance. (a) What is the current to the motor? (b) What voltage is applied to it? (c) What power is supplied to the motor? (d) Repeat these calculations for when the battery connections are corroded and add $0.0900 \Omega$ to the circuit. (Significant problems are caused by even small amounts of unwanted resistance in low-voltage, high-current applications.)

Key Concepts

Impact of Additional Resistance in Low-Voltage Systems

Small increases in resistance can have a pronounced effect in low-voltage, high-current systems because even minimal resistive losses cause substantial drops in voltage and power delivered to the load. This understanding is crucial in designing and maintaining reliable circuits where performance is sensitive to changes in resistance.

Power Calculation

Electrical power in a circuit is calculated using the relationship P = VI, where P is power, V is voltage, and I is current. This concept allows determination of how much energy is being delivered to a component, which is critical for ensuring the component operates within its desired parameters.

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits stating that the current through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. It is expressed mathematically as I = V/R, where I is the current, V is the voltage, and R is the resistance, allowing calculations for one quantity if the other two are known.

Series Circuit Resistance

In electrical circuits, resistors in series add directly, meaning the total resistance is the sum of the individual resistances. This concept is especially important in circuits with components like internal battery resistance combined with external load resistances, where the overall effect on current and voltage distribution must be considered.

Voltage Drop

Voltage drop refers to the reduction in voltage as electric current passes through a component with resistance. The drop is significant in circuits with several resistive elements in series, as each element 'uses up' some of the voltage provided by the power source, which can affect the performance of the load.

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