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An electric space heater is connected across a 120 V outlet the heater dissipates 1320 W of power in the form of electromagnetic radiation and heat calculate the resistance of the heater

Respuesta :

The resistance of the electric space heater dissipating the given amount of power is 10.9Ω.

Ohm's law

Ohm's law states that "the voltage across the cross-section of a conductor is directly proportional to the current passing through it.

It is expressed as;

V = I × R

Where V is voltage, I is current and R is resistance.

Also, electrical power is the product of current and voltage.

P = I × V meaning I = P/V

Hence,

V = (P/V) × R

R = V² / P

Given the data in the question;

  • Voltage V = 120V
  • Power P = 1320W
  • Resistance of the heater R = ?

To determine the resistance of the heater, we substitute our given values into the derived expression above.

R = V² / P

R = (120V)² / 1320W

R = 14400V² / 1320W

R = 10.9Ω

Therefore, the resistance of the electric space heater dissipating the given amount of power is 10.9Ω.

Learn more about Ohm's law here: https://brainly.com/question/15088213

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