An electric current of 3 A flows via a wire of resistance 15 ohms. How much heat will be produced in a minute?

As per the given data,

• Current via resistance, I = 3 A.
• The value of the resistance, R = 15 Ω.
• Time required for heat development = t = 60 seconds

Step 1: Joule’s Law of Heating

1. Joule's law says that when current I flows in a conductor of resistance R for time T sec, then the generated heat on the conductor is directly proportional to the square of the electric current.
2. Joule's law of heating can be expressed by H = I²RT (Q = generated heat on the conductor).

Step 2: Heat Calculation

In order to determine the given question, we need to apply Joule’s Law,

H = I²RT = 3² \(\times\) 15 \(\times\) 60

Thus, H = 8100 Joule

Hence, 8100 Joule heat will be produced in a minute.

Also Check: NCERT Solutions for Class 6 to 12

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