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

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.
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.

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

Step 1: Joule’s Law of Heating

Step 2: Heat Calculation

Related Questions

CBSE CLASS XII Related Questions

1.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

2.
The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

3.
A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.

Similar Physics Concepts

Comments

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

Step 1: Joule’s Law of Heating

Step 2: Heat Calculation

Related Questions

CBSE CLASS XII Related Questions

1.Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

2.The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

3.A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

2.
The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

3.
A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.