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An air core solenoid 50 cm long having r...

An air core solenoid 50 cm long having radius 2 cm has 500 number of turns.
The inductance in a coil plays the same role as:

A

inertia in mechanics

B

energy in mechanics

C

momentum in mechanics

D

force in mechanics

Text Solution

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The correct Answer is:
To solve the question, we need to understand the role of inductance in a coil and how it relates to concepts in mechanics. Here’s a step-by-step solution: ### Step 1: Understand Inductance Inductance is a property of an electrical circuit (specifically a coil) that quantifies its ability to store energy in a magnetic field when an electric current flows through it. It is analogous to inertia in mechanical systems, which quantifies an object's resistance to changes in its state of motion. **Hint:** Think about how inductance relates to energy storage and resistance to change in current, similar to how inertia relates to motion. ### Step 2: Compare Inductance with Mechanical Concepts In mechanics, inertia is the property of an object that resists changes in its state of motion. Similarly, inductance resists changes in the electric current flowing through a coil. **Hint:** Recall that inertia is a measure of mass and affects how much force is needed to change the motion of an object. ### Step 3: Analyze the Options The question provides four options: 1. Inertia in mechanics 2. Energy in mechanics 3. Momentum in mechanics 4. Force in mechanics From our understanding, inductance is most closely related to inertia because both describe a resistance to change—inductance in the context of electric current and inertia in the context of motion. **Hint:** Consider which of the options describes a property that resists change, similar to inductance. ### Step 4: Conclusion Based on the analysis, we conclude that the inductance in a coil plays the same role as inertia in mechanics. Therefore, the correct answer is option 1. **Final Answer:** The inductance in a coil plays the same role as inertia in mechanics.
To solve the question, we need to understand the role of inductance in a coil and how it relates to concepts in mechanics. Here’s a step-by-step solution: ### Step 1: Understand Inductance Inductance is a property of an electrical circuit (specifically a coil) that quantifies its ability to store energy in a magnetic field when an electric current flows through it. It is analogous to inertia in mechanical systems, which quantifies an object's resistance to changes in its state of motion. **Hint:** Think about how inductance relates to energy storage and resistance to change in current, similar to how inertia relates to motion. ### Step 2: Compare Inductance with Mechanical Concepts ...
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