DC Parallel Circuit

Comparison of parallel and series circuits with the same resistors and the same battery voltage applied.


If battery voltage = V
is applied to resistors = and = ,

Parallel

The equivalent resistance is
=

and the total current is = A

For the parallel circuit the entire battery voltage is applied to each resistor. The current branches, and the currents are calculated from Ohm's law:

= A, = A.

Series

The equivalent resistance is
=

and the total current is = A

For the series circuit the entire current flows through each resistor. The voltages is divided, and the voltage drops across each resistor are calculated from Ohm's law:

= V, = V.
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