Question

find the current in 3 ohm resistor

Answer 1

2/3 A current passes through 3 ohm resistor

Answer 2

Answer:

The current flowing in 3 ohm resistor is 0.67 A

Explanation:

In the given figure, 3 ohms and 6 ohms resistors are in parallel.Their equivalent is given by :

$\dfrac{1}{R_{eq}}=\dfrac{1}{3}+\dfrac{1}{6}$

$R_{eq}=2\ \Omega$  

Now 10 ohms resistor and $R_{eq}$ are in series. So, their equivalent is :

$R'=12\ \Omega$

The current flowing in the entire circuit can be calculated using Ohm's law :

V = I R

$I=\dfrac{V}{R}$

$I=\dfrac{12}{12}=1\ A$

We know that in series combination the voltage divides while the current in same in all resistors while in parallel combination the voltage remains the same while the current divides.

So, the voltage across the 10 ohm resistor is, V = 1 × 10 = 10 V

The  voltage across the 3 ohm and 6 ohms resistor is, V = 12 - 10 = 2 V

The current flowing in 3 ohm resistor is,$I=\dfrac{V}{R}=\dfrac{2}{3}\ A=0.67\ A$

Hence, this is the required solution.