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.

Also Check: NCERT Solutions for Class 6 to 12

Related Questions

Read More:

Important Topics of Resistance
Conductivity	Unit of Specific Resistance	Ampere
Cells, emf, Internal Resistance	Current Electricity	Electric Dipole
Combination of Resistors	Current density	Derivation of Drift Velocity
Cells in Series and in Parallel	Power transformers	Resistivity Temperature Dependence
Types of Resistors	Difference between air conditioning and refrigeration	Potentiometer
Permittivity And Permeability	Wheatstone Bridge	Resistor Colour Codes
Power of Alternating Current	Difference between RTD and thermocouple	Difference between AC and DC
Ohm’s Law and its Limitations	Relation between resistance and length	Resistivity formula
Static Electricity	Unit of Current	Voltage
Ohm’s law	Difference between kva and kw	Types of Current
Current density formula	Difference between earth and neutral	Electrical Formula
Relation between kva and kw	Difference Between Primary Cell and Secondary Cell	Electromotive Force
Resistance Formula	Internal resistance formula	Difference between emf and voltage
Carbon Resistor	Differences Between Acceleration and Velocity	Relation between power and resistance
Uses of Resistor	Current Electricity MCQ	Drift Velocity

CBSE CLASS XII Related Questions

1.
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 \( \sqrt{2} \), and \( \sqrt{3} \).

View Solution

2.
Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Both Assertion (A) and Reason (R) are false.

View Solution

3.
In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

View Solution

4.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

attract with a force \( \frac{F}{2} \)
repel with a force \( \frac{F}{2} \)
repel with a force \( F \)
attract with a force \( F \)

View Solution

5.
The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:

View Solution

6.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

5 V
3.5 V
2.5 V
Zero V

View Solution

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.
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 \( \sqrt{2} \), and \( \sqrt{3} \).

2.
Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

3.
In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

4.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

5.
The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:

6.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

Similar Physics Concepts

Comments

dOGVmW

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.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 \( \sqrt{2} \), and \( \sqrt{3} \).

2.Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

3.In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

4.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

5.The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:

6.A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

Similar Physics Concepts

Comments

dOGVmW

1.
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 \( \sqrt{2} \), and \( \sqrt{3} \).

2.
Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

3.
In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

4.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

5.
The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:

6.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be: