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The power rating of a 1000-W heater specifies the power that the heater uses when it is connected to an ac voltage of 120 V. What is the total power used by two of these heaters when they are connected in series with a single ac voltage of 120 V?

Respuesta :

Answer:

500-W

Explanation:

A heater is a type of a resistor.

The power dissipated by the circuit is not directly proportional to the resistance offered.

The expression for power and resistance is:

[tex]P=\frac {V^2}{R}[/tex]

From the above formula, it is clear that the power is inversely proportional to the resistance.

Hence, when the heaters are connected in series (The resistance is doubled) , the power reduced to half.

So, total power = 1000 - W /2 = 500-W

Eduard22sly

The total power used by the two heaters when they are connected in series with a single ac voltage of 120 V is 500 Watts

What is power?

This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:

Power (P) = voltage (V) × current (I)

P = IV

Power = square voltage (V²) / resistance ®

P = V² / R

Assumption

  • Let the initial power for 1 heater (P₁) = 1000 Watts
  • Initial resistance for 1 heater ( R₁) = R
  • New resistance for 2 heaters (R₂) = 2R (since they are in series)
  • New power for 2 heaters (P₂) =?

How to determine the new power of the heaters

P = V² / R

Cross multiply

PR = V²

Since the voltage is constant, we have

P₁R₁ = P₂R₂

1000 × R = P₂ × 2R

Divide both side by 2R

P₂ = 1000R / 2R

P₂ = 500 Watts

Thus, the total power used by the two heaters is 500 Watts

Learn more about electrical power:

https://brainly.com/question/64224

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