Question

if 12ohm and 4ohm resistors are connected in parallel, and12v potential difference is applied
* what is the current in the circuit
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Answer 1

Explanation:

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Answer 2

Given :

▪ Two resistors of resistance 12Ω and 4Ω are connected in parallel.

▪ Pd across connection = 12V

To Find :

▪ Current flow in the circuit.

Concept :

→ First we have to find out equivalent resistance of the parallel connection after that we can calculate current flow in the circuit with the help of ohm's law.

Calculation :

↗ Equivalent resistance :

$\Rightarrow\sf\:R_{eq}=\dfrac{R_1R_2}{R_1+R_2}\\ \\ \Rightarrow\sf\:R_{eq}=\dfrac{12\times 4}{12+4}\\ \\ \Rightarrow\sf\:R_{eq}=\dfrac{48}{16}\\ \\ \Rightarrow\bf\:R_{eq}=3\Omega$

↗ Current flow :

$\dashrightarrow\sf\:V=IR_{eq}\\ \\ \dashrightarrow\sf\:12=3I\\ \\ \dashrightarrow\sf\:I=\dfrac{12}{3}\\ \\ \dashrightarrow\underline{\boxed{\bf{\purple{I=4A}}}}\:\gray{\bigstar}$