Ohm law series circuits step by step

Ohm's Law

The relationship between voltage (V), current (I), and resistance (R): $\displaystyle V = IR$.

Series Circuit

A type of circuit where components are connected one after the other, so current is the same through all.

Voltage in a Series Circuit

Total voltage is the sum of the voltages across each component: $\displaystyle V_{total} = V_1 + V_2 + ... + V_n$.

Current in Series Circuits

Current is the same throughout all components: $\displaystyle I_{total} = I_1 = I_2 = ... = I_n$.

Resistance in Series Circuits

Total resistance is the sum of all individual resistances: $\displaystyle R_{total} = R_1 + R_2 + ... + R_n$.

What does increasing resistance do?

It decreases the overall current in the circuit, following Ohm's Law.

True or false: Voltage can be different across components.

True, because each component drops a portion of the total voltage.

Fill in the blank: \displaystyle V = _____ \times R

I

Difference between series and parallel circuits

In series, current is constant; in parallel, voltage is constant across components.

What happens if one component fails in a series circuit?

The entire circuit stops working because the current path is broken.

What is a resistor?

A component that resists the flow of electric current, causing a voltage drop.

Effect of adding resistors in series?

It increases total resistance and decreases total current in the circuit.

Ohm's Law formula rearranged for current

$\displaystyle I = \\frac{V}{R}$.

What is the unit of resistance?

Ohm (Ω). It measures how much a component resists the flow of electricity.

Question: What is the total resistance for 2 resistors of 4Ω each in series?

Total resistance is 8Ω.

True or false: The total voltage in a series circuit is less than the sum of individual voltages.

False, because the total voltage is equal to the sum of voltages.

Current definition

The flow of electric charge, measured in amperes (A).