Question

Find the current flowing through the following electrical circuit:

Answer 1

Hint: In the series connection, the output current from the first resistor flows into the input of the second resistor. Hence the current will be the same in each resistor. In a parallel connection, all of the resistors will lead on one side of the resistors which are connected together and all the leads on the other side will be connected together.

Complete answer:
A resistor is a passive two-terminal electrical device that implements electrical resistance as a circuit element. In electronic circuits, resistors are helpful in reducing the current flow, adjusting signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses. Most generally the modern resistors are made out of either a carbon, metal, or metal-oxide film. In these resistors, a thin film of conductive and also resistive material is being wrapped in a helix around and covered by an insulating material.
Since the resistors $1\Omega $ and $3\Omega $ are in series.
${{R}_{eq1}}=1+3=4\Omega $
Now resistors $4\Omega $ and $6\Omega $ are in parallel,
${{R}_{eq2}}=\dfrac{4\times 6}{4+6}=\dfrac{24}{10}=2.4\Omega $
Now $3.6\Omega $, $2.4\Omega $ and $3\Omega $ are in also in series,
Therefore we can write that,
${{R}_{eq}}=3.6+2.4+3=9\Omega $
Now we can calculate the current flowing through the circuit,
We know that,
$V=45V$
Therefore the electric current flowing through the circuit is
$I=\dfrac{V}{{{R}_{eq}}}$
Substituting the values in the equation will give,
$I=\dfrac{4.9}{9}=0.5A$
Therefore the correct answer for the question is
$I=0.5A$

Note:
The energy dissipated by a resistor which is used in a circuit is almost always considered as wasted energy in a sense. A resistor will turn up valuable electrical energy into heat. Unless this heat is helpful productively for example in a baseboard heater that heat is generally considered wasted.