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Answer :
In a series circuit the total current is the same throughout resistors and so:
[tex]I_{total}=I_1=I_2[/tex]
The voltage is distributed throughout the resistors and so:
[tex]V_{total}=V_1+V_2[/tex]
and the total resistance can be calculated by adding up the resistors resistance:
[tex]R_{total}=R_1+R_2[/tex]
First thing is to calculate the total resistance and so:
[tex]R_{total}=6\Omega + 4\Omega = 10\Omega[/tex]
And by Omh's law V=IR we have:
[tex]V_{total}=I_{total}R_{total}\\\\I_{total}=\frac{V_{total}}{R_{total}}= \frac{12V}{10\Omega} =1.2A[/tex]
And so the total current of the circuit is 1.2 amps i.e. 1.2 A.
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