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

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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.Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

2.The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

3.What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

4.Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

5. If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

6.Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

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The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

3.
What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

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Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

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