Answer to Question #196981 in Mechanics | Relativity for faith

Question

compare the series formula and parallel formula in RESISTANCE, VOLTAGE, and CURRENT.

SERIES FORMULA

current -

voltage -

resistance-

PARALLEL FORMULA

current -

voltage-

resistance

Answer 1

SERIES FORMULA

Let there be n resistance connected in series

Equivalent Resistance : $nR$

Current : $I$

Voltage : $nIR$

PARALLEL FORMULA

Let there be n resistance connected in parallel

Equivalent resistance : $\bigg(\dfrac{1}{R}+\dfrac{1}{R}+\dfrac{1}{R}+\dfrac{1}{R}+\dfrac{1}{R}.........+\dfrac{1}{R}\bigg)^{-1}$

$=\dfrac{R}{n}$

Current in each branch $= I_1$

Total current, $I$ $=nI_1$

Voltage : $\dfrac{I_1R}{n}$