CBSE Class 10 Answered

A branch of current divides into two branches having same resistance indicates that its a parallel connection wherein the current divides into two.

If I is the total current flowing in the circuit and I₁ and I₂ the current flowing through the two individual branch respectively.

i.e I = I ₁+I ₂

When two resistance are connected in parallel , the amount of current flowing through each branch depends upon the resistance in each branch ( I = V / R ) but the sum of current flowing through each individual parallel branches is equal to the total current flowing in the circuit as a whole.I = I ₁+I ₂.

And the potential difference across each resistance is the same which is equal to the voltage of the battery applied.

Here as the resistance in both the branch is the same the current I_{1 =} I₂ , and I = I ₁+ I ₂

I = I ₁+I ₂= 2 I ₁

I = 2 I ₁

As I is the current in the main branch , current in individual branches I ₁ and I ₂ = I / 2

The voltage at the ends of both branches will be same and will be equal to the voltage of the battery used.