In a circuit, two identical resistances are connected, first in series and then in parallel. the circuit will draw greater current in the first case.

true or false?

False

Explanation:

The current flowing through a circuit can be computed by using Ohm's law:

where

V is the voltage of the battery

Req is the total resistance of the circuit

Let's now compare the two situations. Let's call R the resistance of each resistor (since they are identical, they have same resistance, R)

- Series configuration: in this case, the total resistance of the circuit is given by

So the current through the circuit is

(1)

- Parallel configuration: in this case, the total resistance of the circuit is given by

So the current through the circuit is

(2)

By comparing (1) and (2), we see that the current in the parallel configuration is greater than in the series configuration:

therefore, the correct answer is false.

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