Question

A four-resistor circuit is shown in the figure. The values of the resistors are as follows: R₁=4 Ohms, R₂=R₃=R₄=3 Ohms. What is the equivalent resistance Req for this circuit?

R4 w m R1 R2 R3 -

0.8 ohms

1.33 ohms

3.5 ohms

2.5 ohms

0.67 ohms

Answer 1

Resistance of the first resistor = R₁ = 4 $\Omega$

Resistance of the second resistor = R₂ = 3 $\Omega$

Resistance of the third resistor = R₃ = 3 $\Omega$

Resistance of the fourth resistor = R₄ = 3 $\Omega$

The resistors R₃ and R₄ are in series connection.

Equivalent resistance of R₃ and R₄ = R₅

R₅ = R₃ + R₄

R₅ = 3 + 3

R₅ = 6 $\Omega$

Now the resistors R₁ , R₂ and R₅ are in parallel connection.

Equivalent resistance of R₁ , R₂ and R₅ = R₆

$\frac{1}{R_{6}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{5}}$

$\frac{1}{R_{6}} = \frac{1}{4} + \frac{1}{3} + \frac{1}{6}$

R₆ = 1.33 $\Omega$

Equivalent resistance for the circuit = 1.33 $\Omega$