A 1.5-M Ωresistor and a 2.5-M Ωresistor are in series with a battery. The potential difference a

step 1 In this question we have two resistors in series. Okay, one is 1 .5 mega oms and the other one i

A 1.5-M Ωresistor and a 2.5-M Ωresistor are in series with a...

A $1.5-\mathrm{M} \Omega$ resistor and a $2.5-\mathrm{M} \Omega$ resistor are in series with a battery. The potential difference across the $1.5-\mathrm{M} \Omega$ resistor is measured at $6.0 \mathrm{~V}$. What is the emf of the battery? (b) What is the circuit current?

Key Concepts

Series Circuit

In a series circuit, all components are connected end-to-end so that the same current flows through each element. The total resistance of the circuit is the sum of the individual resistances, which means the voltage drop across each component is proportional to its resistance relative to the total resistance.

Ohm's Law

Ohm’s Law is a fundamental relationship in electrical circuits that states that the voltage across a resistor is equal to the product of the current flowing through it and its resistance (V = IR). This principle is essential for analyzing circuits, determining unknown quantities such as voltage, current, or resistance based on known values.

Voltage Divider

A voltage divider is a circuit configuration used to produce a portion of the input voltage across one or more resistors in a series circuit. By applying the concept of Ohm’s Law and the fact that the same current flows through all series resistors, the voltage drop across a resistor can be calculated as a fraction of the total voltage, proportional to its resistance.

Electromotive Force (emf) and Circuit Current

Electromotive force (emf) refers to the voltage generated by a power source when no current is drawn, representing the ideal voltage of the source. In the presence of a load, internal or added resistances cause a voltage drop, so the circuit current, determined by the total circuit resistance and the applied emf, is lower than it would be in an ideal circuit. Understanding emf in conjunction with circuit resistance is crucial for analyzing real-world circuits.

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