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PhysicsScalar QuantityNCTB পদার্থবিজ্ঞান অধ্যায় ৪ (কাজ, ক্ষমতা ও শক্তি)

Power

Bengali: ক্ষমতা•Pronunciation: পাওয়ার•Symbol: P
Standard Definition:
The rate at which work is done or energy is transferred per unit of time.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
P=dWdt=Wt=F⃗⋅v⃗P = \frac{dW}{dt} = \frac{W}{t} = \vec{F} \cdot \vec{v}
Standard SI Unit
W (Watt) or J/s($W$ (ওয়াট) বা $J/s$)
Dimensional Analysis
[ML2T−3][M L^2 T^{-3}]
CGS Unit
erg/s

📖 Physical Concept & Comprehensive Explanation

Power measures how quickly work is produced. 1 Watt represents 1 Joule of work done per second. Another practical industrial unit is horsepower, where 1 HP = 746 Watts. The ratio of useful power output to total power input defines mechanical efficiency.

🎯 High-Yield Revision Points

  • ✓Power = Work / Time (P = W/t) or Force * Velocity (P = Fv).
  • ✓1 Watt = 1 Joule per second.
  • ✓1 Horsepower (HP) = 746 Watts.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: Define 1 Watt. How many Watts equal 1 Horsepower?

One Watt is one Joule of energy transferred per second. 1 Horsepower equals 746 Watts.

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