Question

A combined circuit has two resistors in parallel (10.0 ohms and 14.0 ohms) and another in series (5.0 ohms). If the power source is 9.0 volts, what is the current?

Answer 1

The first step is to draw the circuit.
The second is determine the overall equivalent resistance of the circuit.

Answer 2

Your circuit would be like this:


Here the total current (i) is the current used by resistance R1 and R2,

let total resistance is R (which is addition of R1 and R2) and voltage is V
\[i=\frac{ V }{ R }\]

let's calculate R first,
where R1 is the parallel of two resistances(10 and 14 ohm) giving a resultant\[\frac{ 1 }{ \frac{ 1 }{ 10 }+\frac{ 1 }{ 14 } }\] =5.8333 ohm

and R2=5 ohm

hence total resistance R= R1 + R2 .....(as R1 and R2 are in series)
R=5+5.8333
=10.8333 ohm


now \[i=\frac{ 9 }{ 10.8333 }\]
that is i=0.83077 A
or total current i=830.77 mA