Question

find equivalent resistance.​

Answer 1

Solution:

We have to determine the equivalent resistance of the circuit.

We can observe that the resistances 10 Ω, 10 Ω and 5 Ω are in parallel combination.

Let the equivalent resistance here be R.

Therefore:

→ 1/R = 1/10 + 1/10 + 1/5

→ 1/R = 2/10 + 1/5

→ 1/R = 1/5 + 1/5

→ 1/R = 2/5

→ R = 5/2 Ω

→ R = 2.5 Ω

Now, the resistances 5 Ω, 2.5 Ω and 20 Ω are in series.

Therefore, the equivalent resistance will be:

→ Equivalent Resistance = (5 + 2.5 + 20) Ω

→ Equivalent Resistance = 27.5 Ω

★ Which is our required answer.

Answer:

• The equivalent resistance in the circuit system is 27.5 Ω

Additional Information:

Let R₁, R₂ and R₃ be 3 resistors connected in series. Let Rₛ be the equivalent resistance of the circuit.

Then:

→ Rₛ = R₁ + R₂ + R₃

If they were connected in parallel combination, then:

→ 1/Rₛ = 1/R₁ + 1/R₂ + 1/R₃

The SI unit of resistance is ohm. It is denoted by the Greek letter Ω (Omega)