Question

21. For the given figure, if current in R3, is i, then current in R4 is......?​

Answer 1

Answer:

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Answer 2

If the current in R₃ is i, then current in R₄ is i.

At first, find the equivalent resistance of the upper combined circuit.

This will be = $\frac{3×6}{3+6}$ + 2 Ω

                  = 2 + 2 Ω

                 = 4 Ω

∴ The ratio in which the currents will be divided into this two parallel halves containing resistance 4 Ω and R₄ = 12 Ω is

  12 : 4

=  3 : 1

∴ If the total amount of current is 4x, then it will divide in both circuits as 3x (in the upper circuit) and x (in the lower is circuit having resistance R₄)

In R₂ and R₃, the 3x amount of current will be divided as 6 : 3 = 2 : 1

∴ The amount of current in R₃ circuit will be = x

So, the amount of current will be same in R₄ and R₃ = x = i (as given in question)

∴ The amount of current in R₄ is i.