Question

When a 24-V battery is connected to a resistor, the
current in it is 0.4 A. What is the resistance of the
resistor? What would be the current through it when
it is connected to a battery of 6 V?
​

Answer 1

Answer:

• Resistance of Resistor is 60 ohms.

• Current through the Resistor is 0.1 ampere.

Explanation:

Let , the Resistance of Resistor be X ohms .

It is given that Resistor is connected in 24 volts battery and the current flowing through it is 0.4 Ampere.

Using Ohm's Law

• V = IR

where,

• V denote Voltage
• I denote Current
• R denote Resistance

Substitute the value we get

→ 24 = 0.4 × X

→ X = 24/0.4

→ X = 240/4

→ X = 60 ohm

• Hence, the Resistance of the resistor is 60 ohms.

Now, calculating the current through the Resistor when the potential difference of battery is 6 Volts.

Using Ohm's Law

→ V = I'R

Substitute the value we get

→ 6 = I' × 60

→ 6/60 = I'

→ I' = 6/60

→ I' = 0.1 A

• Hence, the current through the Resistor when potential difference is 6 volts is 0.1 ampere.

Answer 2

Answer:

Given :-

Potential difference = 24 V

Current = 0.4 A

To Find :-

Current through battery of 6V

Solution :-

We know that

V = IR

24 = 0.4 × R

24/0.4 = R

60 = R

Resistance = 60Ω

V = I'R'

6 = I' × 60

I = 6/60

I = 0.1 A