Question

In the circuit shown below if l1 and l2 are the current flowing through resistor R2 and R2 then

Answer 1

Please refer to the Attachment....

Answer 2

Given :

Circuit is attached.

Solution :

Current Divider Rule

I₁R₁ = I₂R₂    

I = I₁ + I₂      

$I_2 = \frac{I_1R_1}{R_2}$

$I = I_1 + \frac{I_1R_1}{R_2 }$

IR₂ = I₁R₂ + I₁R₁

IR₂ = I₁ (R₁ + R₂)

$I_1 = \frac{R_2}{R_1+R_2} I$

Similarly,

$I_2 = \frac{R_1}{R_1+R_2} I$

So, by using the Current Divider Rule we can say that option A and option D both are correct.

A ) I₁ = IR₂ / (R₁ + R₂)

D ) I₂ = IR₁ / (R₁ + R₂)