According to Joule's law, the heat produced in a resistor is directly proportional to the square of the current passing through it. Mathematically, Joule's law is expressed as P = I²R, where P is the power (heat), I is the current, and R is the resistance of the resistor. The square of the current (Read more
According to Joule’s law, the heat produced in a resistor is directly proportional to the square of the current passing through it. Mathematically, Joule’s law is expressed as P = I²R, where P is the power (heat), I is the current, and R is the resistance of the resistor. The square of the current (I²) emphasizes a nonlinear relationship, meaning that even a small increase in current results in a disproportionately larger increase in heat generation. This fundamental relationship highlights the importance of controlling current in circuits to manage and minimize resistive heating, particularly in applications where efficiency and energy conservation are critical.
Joule's law of heating states that the heat produced in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t). Mathematically, it is expressed as Q = I²Rt, where Q is the heat produced. This law emphasizes the significance of current and resistancRead more
Joule’s law of heating states that the heat produced in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t). Mathematically, it is expressed as Q = I²Rt, where Q is the heat produced. This law emphasizes the significance of current and resistance in determining heat generation. Higher current or resistance leads to increased heat production. Additionally, the duration of current flow, represented by time (t), influences the total heat generated. Joule’s law is fundamental in understanding and managing heat dissipation in electrical circuits and devices.
For example, consider an electric iron with a power rating of 1200 watts and an operating voltage of 120 volts. Using the formula P = VI (power equals voltage multiplied by current), the current drawn by the iron is P/V, which is 1200/120 = 10 amperes. To ensure proper protection, a fuse rating sligRead more
For example, consider an electric iron with a power rating of 1200 watts and an operating voltage of 120 volts. Using the formula P = VI (power equals voltage multiplied by current), the current drawn by the iron is P/V, which is 1200/120 = 10 amperes. To ensure proper protection, a fuse rating slightly higher than the device’s current is chosen. In this case, a 15-ampere fuse may be selected, providing a safety margin. This way, if the iron experiences a temporary surge or malfunction, the fuse will blow, disconnecting the circuit and preventing damage to the iron or potential fire hazards.
The unit 'kilowatt' is commonly used in practical applications because it represents a larger and more practical measure of electrical power. One kilowatt (kW) is equivalent to 1000 watts. Since many electrical devices, especially in domestic and industrial settings, have power ratings in the thousaRead more
The unit ‘kilowatt’ is commonly used in practical applications because it represents a larger and more practical measure of electrical power. One kilowatt (kW) is equivalent to 1000 watts. Since many electrical devices, especially in domestic and industrial settings, have power ratings in the thousands of watts, the kilowatt provides a more manageable and convenient scale. It simplifies billing, discussions about power consumption, and the specification of equipment capacity. The kilowatt is derived from the standard unit ‘watt,’ where 1 kilowatt equals 1000 watts, making it easier to express and comprehend power values in real-world scenarios.
The unit of electric energy is defined as the watt-hour (Wh), representing the consumption of one watt of power for one hour. This unit quantifies the total amount of work done or energy consumed. The relationship between power (P), time (t), and electric energy (E) is expressed as E = Pt. Power, meRead more
The unit of electric energy is defined as the watt-hour (Wh), representing the consumption of one watt of power for one hour. This unit quantifies the total amount of work done or energy consumed. The relationship between power (P), time (t), and electric energy (E) is expressed as E = Pt. Power, measured in watts (W), multiplied by time in hours (h), gives the energy consumed in watt-hours. For larger quantities, kilowatt-hours (kWh) are commonly used. This relationship is fundamental in billing for electrical consumption, assessing device efficiency, and understanding the overall energy consumption of electrical systems.
How is the heat produced in a resistor related to the square of the current, according to Joule’s law?
According to Joule's law, the heat produced in a resistor is directly proportional to the square of the current passing through it. Mathematically, Joule's law is expressed as P = I²R, where P is the power (heat), I is the current, and R is the resistance of the resistor. The square of the current (Read more
According to Joule’s law, the heat produced in a resistor is directly proportional to the square of the current passing through it. Mathematically, Joule’s law is expressed as P = I²R, where P is the power (heat), I is the current, and R is the resistance of the resistor. The square of the current (I²) emphasizes a nonlinear relationship, meaning that even a small increase in current results in a disproportionately larger increase in heat generation. This fundamental relationship highlights the importance of controlling current in circuits to manage and minimize resistive heating, particularly in applications where efficiency and energy conservation are critical.
See lessWhat does Joule’s law of heating state, and how is heat production in a resistor related to current, resistance, and time?
Joule's law of heating states that the heat produced in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t). Mathematically, it is expressed as Q = I²Rt, where Q is the heat produced. This law emphasizes the significance of current and resistancRead more
Joule’s law of heating states that the heat produced in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t). Mathematically, it is expressed as Q = I²Rt, where Q is the heat produced. This law emphasizes the significance of current and resistance in determining heat generation. Higher current or resistance leads to increased heat production. Additionally, the duration of current flow, represented by time (t), influences the total heat generated. Joule’s law is fundamental in understanding and managing heat dissipation in electrical circuits and devices.
See lessProvide an example of how the selection of a fuse rating is determined based on the power consumption of a device, such as an electric iron.
For example, consider an electric iron with a power rating of 1200 watts and an operating voltage of 120 volts. Using the formula P = VI (power equals voltage multiplied by current), the current drawn by the iron is P/V, which is 1200/120 = 10 amperes. To ensure proper protection, a fuse rating sligRead more
For example, consider an electric iron with a power rating of 1200 watts and an operating voltage of 120 volts. Using the formula P = VI (power equals voltage multiplied by current), the current drawn by the iron is P/V, which is 1200/120 = 10 amperes. To ensure proper protection, a fuse rating slightly higher than the device’s current is chosen. In this case, a 15-ampere fuse may be selected, providing a safety margin. This way, if the iron experiences a temporary surge or malfunction, the fuse will blow, disconnecting the circuit and preventing damage to the iron or potential fire hazards.
See lessWhy is the unit ‘kilowatt’ commonly used in practical applications, and how does it relate to the standard unit ‘watt’?
The unit 'kilowatt' is commonly used in practical applications because it represents a larger and more practical measure of electrical power. One kilowatt (kW) is equivalent to 1000 watts. Since many electrical devices, especially in domestic and industrial settings, have power ratings in the thousaRead more
The unit ‘kilowatt’ is commonly used in practical applications because it represents a larger and more practical measure of electrical power. One kilowatt (kW) is equivalent to 1000 watts. Since many electrical devices, especially in domestic and industrial settings, have power ratings in the thousands of watts, the kilowatt provides a more manageable and convenient scale. It simplifies billing, discussions about power consumption, and the specification of equipment capacity. The kilowatt is derived from the standard unit ‘watt,’ where 1 kilowatt equals 1000 watts, making it easier to express and comprehend power values in real-world scenarios.
See lessHow is the unit of electric energy defined, and what is the relationship between power, time, and the unit of electric energy?
The unit of electric energy is defined as the watt-hour (Wh), representing the consumption of one watt of power for one hour. This unit quantifies the total amount of work done or energy consumed. The relationship between power (P), time (t), and electric energy (E) is expressed as E = Pt. Power, meRead more
The unit of electric energy is defined as the watt-hour (Wh), representing the consumption of one watt of power for one hour. This unit quantifies the total amount of work done or energy consumed. The relationship between power (P), time (t), and electric energy (E) is expressed as E = Pt. Power, measured in watts (W), multiplied by time in hours (h), gives the energy consumed in watt-hours. For larger quantities, kilowatt-hours (kWh) are commonly used. This relationship is fundamental in billing for electrical consumption, assessing device efficiency, and understanding the overall energy consumption of electrical systems.
See less