Question

when a conductor is connected to a 12V battery.0.6A of current flows through it what will be the current value if it's connected to 4.5V battery

Answer 1

Answer :

Current flow in conductor when it is connected to 12 V battery = 0.6A

We have to find current flow in conductor when it is connected to 4.5 V battery$.$

First of all we need to find resistance of conductor.

As per ohm's law, current flow through a conductor is directly proportional to the applied potential difference.

• V ∝ I

Where, V denoted voltage and I denotes current

In first case :

➜ V = I × R

➜ 12 = 0.6 × R

➜ R = 12/0.6

➜ R = 20 $\Omega$

In second case :

➝ V' = I' × R

➝ 4.5 = I' × 20

➝ I' = 4.5/20

➝ I' = 0.225A

Answer 2

Working out:

In the question, the voltage of a battery is given and the amount of current flowing through the conductor.

• Voltage of the battery = 12 V
• Current flowing = 0.6 A

And, we have to find the current that will flow if the voltage provided now is 4.5 V

The resistance of the conductor will remain constant for both cases. And according to ohm's law, We know,

• V = IR

By using this, let's find resistance of conductor:

⇛ V = IR

⇛ 12 V = 0.6 A × R

⇛ R = 12/0.6 Ω

⇛ R = 20 Ω

Now R = 20 Ω for the second case too.

Again by using the same formula,

⇛ V' = I'R

⇛ 4.5 V = I' × 20 Ω

⇛ I' = 4.5/20 A

⇛ I' = 0.225 A

So, the amount of current passing through the conductor when the voltage across the battery is 4.5 V is:

$\large{ \boxed{ \bf{ \red{I' = 0.225 \: A}}}}$

And we are done !!

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