Question

calculate the potential difference across the 4-2 resistor in the given circuit​

Answer 1

In a series combination the resistors share same electric current but different potential difference. Here we need to take out common electric current and then different potential difference for each resistor.

R = R₁ + R₂ + R₃

R = ( 4 + 6 + 10 )Ω

R = 20 Ω

Since, R = V/i

20 = 5 / i

i = 5/20

i = 1/4 A

So, current flowing in each resistor will be same therefore potential difference will be :-

R₁= V₁ / i

4 = V₁ / ( 1/4 )

1 V = V₁

Similarily, 6 = V₂/ (1/4)

6 × 1/4 = V₂

1.5 V = V₂

and 10 = V₃ / (1/4)

10 × 1/4 = V₃

2.5 V = V₃

So potential difference for each resistor are 1 V, 1.5 V and 2.5 V respectively.