Series-Parallel Calculators: Resistors, Capacitors, and Inductors

Component	Series	Parallel
Resistors	$$ R_{\text{series}} = R_1 + R_2 + \ldots + R_n $$	$$ \frac{1}{R_{\text{parallel}}} = \frac{1}{R_1} + \frac{1}{R_2} + \ldots + \frac{1}{R_n} $$
Capacitors	$$ \frac{1}{C_{\text{series}}} = \frac{1}{C_1} + \frac{1}{C_2} + \ldots + \frac{1}{C_n} $$	$$ C_{\text{parallel}} = C_1 + C_2 + \ldots + C_n $$
Inductors	$$ L_{\text{series}} = L_1 + L_2 + \ldots + L_n $$	$$ \frac{1}{L_{\text{parallel}}} = \frac{1}{L_1} + \frac{1}{L_2} + \ldots + \frac{1}{L_n} $$

Resistor Calculator: Series and Parallel

R1 (Ω) R2 (Ω) R: R1 Series R2 (Ω) R: R1 Parallel R2 (Ω)

Resistors in series (2 resistors):

$$ R_{\text{series}} = R_1 + R_2 $$

Resistors in series (general case):

$$ R_{\text{series}} = R_1 + R_2 + R_3 + \ldots + R_n $$

Resistors in parallel (2 resistors):

$$ R_{\text{parallel}} = \frac{R_1 \times R_2}{R_1 + R_2} $$

Resistors in parallel (general case):

$$ \frac{1}{R_{\text{parallel}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots + \frac{1}{R_n} $$

C1 (F) C2 (F) C3 Series (F) C4 Parallel (F)

Capacitors in series (2 capacitors):

$$ C_{\text{series}} = \frac{C_1 \times C_2}{C_1 + C_2} $$

Capacitors in series (general case):

$$ \frac{1}{C_{\text{series}}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + \ldots + \frac{1}{C_n} $$

Capacitors in parallel (2 capacitors):

$$ C_{\text{parallel}} = C_1 + C_2 $$

Capacitors in parallel (general case):

$$ C_{\text{parallel}} = C_1 + C_2 + C_3 + \ldots + C_n $$

L1 (H) L2 (H) L3 Series (H) L4 Parallel (H)

Inductors in series (2 inductors):

$$ L_{\text{series}} = L_1 + L_2 $$

Inductors in series (general case):

$$ L_{\text{series}} = L_1 + L_2 + L_3 + \ldots + L_n $$

Inductors in parallel (2 inductors):

$$ L_{\text{parallel}} = \frac{L_1 \times L_2}{L_1 + L_2} $$

Inductors in parallel (general case):

$$ \frac{1}{L_{\text{parallel}}} = \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3} + \ldots + \frac{1}{L_n} $$