Question

3. How much heat is generated in the conductor when a resistance of 100 ohm is connected to source of p.d. 220V for 10 sec?​

Answer 1

Given :

• Resistance = 100 Ω

• Voltage = 220 V

• Time = 10 seconds

To find :

• The amount of heat generated in the conductor

Solution :

Formula to calculate the heat generated by the conductor :-

• H = I²RT

where,

• H denotes the heat generated

• I denotes the current

• R denotes the resistance

• T denotes the time

We don't have the value of current. So, firstly we will calculate the current. Using formula,

• I = V ÷ R

where,

• V denotes the voltage

• R denotes the resistance

Substituting the given values :-

→ Current = 220 ÷ 100

→ Current = 22 ÷ 10

→ Current = 2.2

Therefore, the current = 2.2 A

Now, calculating the heat generated :-

→ H = IR²T

→ Substituting the given values :-

→ Heat generated = 2.2 × (100)² × 10

→ Heat generated = 2.2 × 10000 × 10

→ Heat generated = 22 × 10000

→ Heat generated = 2,20,000

Therefore, the heat generated in the conductor = 2,20,000 J