Question

find the potential difference between points A and B

Answer 1

Answer:

The potential difference between A and B is 2 volts.

Explanation:

From the attached figure,

R₁ = 1 Ω

R₂ =2 Ω

R₃ = 3 Ω

R₄ = 4 Ω

We have to find the potential difference between A and B. Firstly finding the equivalent resistance.

R₁ and R₃ are in series, there equivalent R' = 3 Ω

R₂ and R₄ are in series, there equivalent R'' = 3 Ω

Now R' and R'' are in parallel. There equivalent is given by :

$\dfrac{1}{R_{eq}}=\dfrac{1}{R'}+\dfrac{1}{R"}$

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

$R_{eq}=1.5\ \Omega$

So, the equivalent resistance of the circuit is 1.5 ohms.

Potential difference of the entire circuit,

$V=IR_{eq}$

V = 1.5 Ω × 2 A

V = 2 volts

Hence, the potential difference between A and B is 2 volts.