Question

Three resistors are connected in parallel with a battery of 12 volt find the current and equivalent resistance of circuit if all resistor are of 36 ohm​

Answer 1

❝Current of circuit is 1 Ampere.❞

❝Equivalent resistance of circuit is 12 Ohms.❞

Explanation

Given that three resistors are connected in parallel with a battery of 12 volts. All resistor are of 36 ohm.

We have to find the current and equivalent resistance of circuit.

Solution

From the data given we have ;

1. Potential difference (V) = 12 v
2. Each resistor = 36 ohm.
3. They are connected in parallel.

We know that,

⚡1/Rp = 1/R₁ + 1/R₂ + 1/R₃ + .........

✍ 1/Rp = 1/36 + 1/36 + 1/36

✍ 1/Rp = (1 + 1 + 1)/36

✍ 1/Rp = 3/36

✍ 3Rp = 36

✍ Rp = 36/3

✍ Rp = 12 ohm.

∴ Equivalent resistance of circuit = 12 ohm.

Now using Ohm's law :

⚽ V = I * R

✍ 12 = I * 12

✍ I = 12/12

✍ I = 1 Amphere.

∴ Current of circuit = 1 Ampere.

Answer 2

Explanation:

Three resistors are connected in parallel with a resistance of 36 ohm.

Assume that R1, R2 and R3 are the three resistors. R1 = R2 = R3 = 36 ohm

For parallel combination:

1/Rp = 1/R1 + 1/R2 + 1/R3

→ 1/Rp = 1/36 + 1/36 + 1/36

→ 1/Rp = 3/36 = 1/12

→ Rp = 12 ohm

→ Req = 12 ohm

Hence, the equivalent resistance is 12 ohm.

Also said that the resistors are connected across a battery of 12 V.

From ohm's law:

V = IR

→ I = V/R

→ I = 12/12

→ I = 1 A

Hence, the value of current is 1A.