Physics - Current Electricity Question with Solution | TestHub

In a parallel circuit, the potential difference across each branch is the same.

Let the current through the $3\Omega$ resistor be $I_2$.

Therefore, $I_1\times 4\Omega =I_2\times 3\Omega$

Substituting the given value of $I_1=1.2\text{ A}$:

$1.2\times 4=I_2\times 3$

$4.8=3I_2$

$I_2=1.6\text{ A}$

The total current $I$ in the circuit is the sum of the currents in the parallel branches:

$I=I_1+I_2$

$I=1.2\text{ A}+1.6\text{ A}=2.8\text{ A}$

Answer: $2.8\text{ A}$