Question

solve the following ​

Answer 1

i = 24/12 = 2A

Explanation:

i = V/R

V=24V

R = 12Ω

Answer 2

Solution:

We have to determine the current flowing in the circuit.

To calculate the current, we have to calculate the equivalent resistances in the circuit.

We can observe that the resistances 4 Ω and 20 Ω are in series.

Let the equivalent resistance be R₁

Then:

→ R₁ = (4 + 20) Ω

→ R₁ = 24 Ω

Also, the resistances 14 Ω and 10 Ω are in series.

Let the equivalent resistance be R₂

Then:

→ R₂ = (14 + 10) Ω

→ R₂ = 24 Ω

Now, the resistances R₁ and R₂ are in parallel combination.

Let the equivalent resistance be Rₛ

Therefore:

→ 1/Rₛ = 1/24 + 1/24

→ 1/Rₛ = 2/24

→ 1/Rₛ = 1/12

→ Rₛ = 12 Ω

Therefore, we have:

→ R = 12 Ω

→ V = 24 V

Now, we know that:

→ V = IR

→ 24 = I × 12

→ I = 24/12 A

→ I = 2 A

So, a current of 2 A will flow through the circuit when the key is pressed. (Answer)

Learn More:

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)