Question

If 1000 joules of heat is flowing through a heater of resistance 10 ohms per second. Calculate current flows through it.

Answer 1

Given :

• Heat Energy (H) = 1000 J
• Resistance (R) = 10 ohms
• Time (t) = 1 second

To Find :

• Calculate current flowing through it

Solution :

As we know that formula for calculating heat energy is :

⇒H = I²Rt

Where,

• I is current
• H is heat energy
• R is resistance
• t is time interval

⇒1000 = I² * 10 * 1

⇒1000 = 10*I²

⇒I² = 1000/10

⇒I² = 100

⇒I = √(100)

⇒I = 10

$\therefore$ Current Flowing through heater is 10 Ampere

______________________________

Some Important Formulae :

• I = Q/t

• V = IR

• Q = ±ne

• P = VI

Where,

• Q is charge
• I is current
• R is resistance
• n is number of electrons
• e is charge on electron
• P is power
• V is potential difference

Answer 2

Given :

• Heat flowing through heater (H) = 1000 J
• Resistance (R) = 10 Ω
• Time taken (t) = 1 s

To Find :

We have to find the current (I) flowing through it.

Explnation :

We know the formula to calculate the current flowing through it.

⟹ H = I²Rt

→ 1000 = I² * 10 * 1

→ 1000 = I² * 10

→ I² = 1000/10

→ I² = 100

→ I = √100

→ I = ± 10

As, Current can't be negative. So

⟹ I = 10 A

$\rule{200}{2}$