Kolkata

Shikha Tyagi replied | 1 day ago

No,

Anamika Thakur replied | 1 day ago

No, \frac{x}{x} is NOT always equal to 1.

Explanation

\frac{x}{x} = 1 \quad \text{**only when** } x \neq 0

Why?

• If x \neq 0:
  \frac{x}{x} = 1
  (Any non-zero number divided by itself equals 1)
• If x = 0:
  \frac{0}{0}
  This is undefined in mathematics (division by zero is not allowed).

Final Conclusion

\boxed{\frac{x}{x} = 1 \text{ for all } x \neq 0}

So, it is NOT always 1, because at x = 0 the expression has no value.

Neeraja Valivarthi replied | 6 hrs ago

Electrons, Electricity, and Energy

Electrons: Tiny particles with a negative charge, orbiting atoms. In wires, specific "free" electrons (valence electrons) can move.

Electricity: The directed movement or flow of these free electrons through a conductor, like a wire, driven by a force (voltage).

Energy: The ability to do work, like lighting a bulb or heating a room. Electrical energy is the energy from moving charges and can be stored (batteries) or converted (heat, light). 

Energy (E): The total work done or total energy consumed.Formula: Energy = Power × Time (\(E=P\times t\)).Units: Joules (J), Watt-hours (Wh), or kilowatt-hours (kWh).

Power (P): The rate at which energy is used or transferred (Energy per unit time).Formula: Power = Energy / Time (\(P=E/t\)).

Units: Watts (W) or Joules per second (J/s). 

Guruver Academy replied | 4 hrs ago

Electrons and Electricity

Electrons: These are particles that exist in the outer "shells" of atoms. In certain materials like metals (conductors), some electrons are "free" to move from one atom to another.

Electric Current: When a force (voltage) is applied, these free electrons drift in a specific direction through a conductor (like a copper wire). This movement is what we call electric current.

Power Vs Energy 

In physics and electrical engineering, the distinction between energy and power is a matter of capacity versus rate.

Energy: is the total amount of work a system can perform or the total quantity of "fuel" consumed over a period of time. It is a cumulative measure.

Power: on the other hand, is the instantaneous rate at which that energy is being used or transferred. It describes how fast the work is being done at any given moment. 

Guruver Academy & App

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