Combination of Resistors

Combination of Resistors

## Resistors in Series

### Formula

$$R_{eq}=R_1+R_2+R_3+...$$

### Terminologies

- Req → Equivalent resistance.

- R₁,R₂... → Individual resistances.

### Conditions / Special Cases

Current remains same:

$$I_1=I_2=I_3$$

Potential difference divides:

$$V=V_1+V_2+V_3$$

### Usage

- Used in series circuit analysis.

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## Resistors in Parallel

### Formula

$$\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+...$$

### For Two Resistors

$$R_{eq}=\frac{R_1R_2}{R_1+R_2}$$

### Conditions / Special Cases

Potential difference remains same:

$$V_1=V_2=V_3$$

Current divides:

$$I=I_1+I_2+I_3$$

### Usage

- Used in parallel circuit analysis.