An electric kettle has two coils. When one of them is...

Name: Problem 1732, Chapter 12: JEE Physics
Uploaded: 2021-10-03T04:45:23-08:00
Duration: 1 min 28 s
Channel: Prem Bijarniya
Description: An electric kettle has two coils. When one of them is switched on, the water in the kettle boils in 6 minutes. When the other coil is switched on, the water boils in 3 minutes If the two coils are connected in series the time taken to boil water in the kettle is: (A) 3 minutes (B) 6 minutes (C) 2 minutes (D) 9 minutes

An electric kettle has two coils. When one of them is switched on, the water in the kettle boils in 6 minutes. When the other coil is switched on, the water boils in 3 minutes If the two coils are connected in series the time taken to boil water in the kettle is: (A) 3 minutes (B) 6 minutes (C) 2 minutes (D) 9 minutes

An electric kettle has two coils. When one of them is switched on, the water in the kettle boils in 6 minutes. When the other coil is switched on, the water boils in 3 minutes If the two coils are connected in series the time taken to boil water in the kettle is:
(A) 3 minutes
(B) 6 minutes
(C) 2 minutes
(D) 9 minutes

Key Concepts

Resistive Heating

Resistive heating is the process by which electrical energy is converted into heat energy through a resistive element. This is a fundamental concept in electrical energy conversion, where the resistance of a coil or conductor generates heat when current flows through it, a principle widely used in household appliances like kettles and heaters.

Series Circuit Analysis

Series circuits involve components connected end-to-end so that the same current flows through each element. In a series configuration, the total resistance is the sum of the individual resistances, which affects the current and the overall power dissipation in the circuit. This concept is essential for understanding how combining elements impacts the performance of the system.

Electrical Power and Energy Relationship

The relationship between power, energy, and time is foundational in physics and electrical engineering. Electrical power, defined as the rate of energy conversion or consumption, determines how quickly a given amount of energy can be delivered or utilized. In heating applications, if the required energy to achieve a certain temperature remains constant, the time taken to heat up is inversely related to the amount of power available.

Inverse Proportionality of Heating Time to Power

In applications involving consistent energy requirements, such as boiling water, the time taken to heat an object is inversely proportional to the power supplied. That is, doubling the power nearly halves the heating time, assuming other conditions remain constant. This concept is crucial for analyzing systems where different configurations lead to different effective power outputs.

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