Question

A current of 2 A flows through a resistor of 5 Ω. The amount of heat produced in 10 seconds across the resistor is :–
(A) 200 J (B) 100 J
(C) 10 J (D) 25 J

Answer 1

Explanation:

The resistance of the coil, R = 10 ohms

Time, t = 10 min

To find,

The amount of heat produced.

Solution,

The amount of heat produced in an electrical device is given by the formula as follows:

H = I² Rt

t is time in seconds, t = 10 min = 600 seconds

So,

H2² × 10 × 600

H = 24000 J

59

H = 24 kJ

So, 24 kJ of heat is produced. Hence, this is the required solution.

Answer 2

Given :-

• Current flowing through the resistor is 2 ampere
• Resistor is of 5 Ω
• Time = 10 seconds

To find :-

• Amount of heat produced

Solution :-

We use the below formula to find the heat produced with given resistance, time and current.

Heat is given by,

⇒ H = I² RT

Here,

• H = Heat
• I = Current
• R = Resistance
• T = Time

By substituting given values, we get :

⇒ H = (2)² ( 5 ) ( 10 )

⇒ H = 4 × 50

⇒ H = 200

Hence the amount of heat produced across the resistor in 10 seconds is 200 J.

Option (A) is correct.

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