answersLogoWhite

0


Best Answer

The fundamental equation for the power of any load is the product of the voltage across the load and the current through it: P = U I.

Since voltage is the product of current and resistance (U = I R), we can substitute for voltage in the original equation:

P = U I = (IR) I = I2R

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is the formula squared in power dissipation of electrical resistance?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Engineering

In a home that has 120 v service heating is provided by electric resistance heat with an overall resistance of 40 ohms hom much heating power will the electric resistance heater generate?

The formula you are looking for is W = E(squared)/R, W = Voltage (squared) divided by Resistance.


What is the power in a circuit that has a current of 0.1 amps and a resistance of 18 ohms?

There is insufficient information in the question to properly answer it. You need to also know the voltage or, alternatively, the power in order to find the resistance given the current. Please restate the question.


If you know the voltage applied to a resistor and the value of the resistor how would you determine the power dissipated in the resistor.?

Power dissipation of a resistor or any load is the amount of power (in watts) that is converted to heat, light, or other form of energy. In a resistor, power dissipation is defined by Ohm's law P = I^2 * R Power dissipated equals current through the resistor squared times the resistance in ohms. Since the power is converted to heat, a resistor has a maximum dissipation rating set by the manufacturer, above which the resistor will be damaged.


Power may be expressed as what times resistance?

Power=current squared times resistance


How do you show resistance is proportional to L squared?

Okay. Resistance by ohms law is given by R = V/I But Power P = V * I Dividing R/P = 1/ I 2 Or R = P / I squared For a constant power, resistance is inversely proportional to I squared and not simply proportional to.

Related questions

What are some examples of statements that apply to resistors?

For example, you can write statements based on:* Ohm's Law: V = IR (voltage = current x resistance) * Power dissipation: P = I squared R


In a home that has 120 v service heating is provided by electric resistance heat with an overall resistance of 40 ohms hom much heating power will the electric resistance heater generate?

The formula you are looking for is W = E(squared)/R, W = Voltage (squared) divided by Resistance.


If current in an electric stove is doubled how will the thermal energy produced per unit time change?

P = I2R (power = current squared times resistance). Therefore, if the current doubles, the amount of dissipated electrical energy will increase by a factor of 4.P = I2R (power = current squared times resistance). Therefore, if the current doubles, the amount of dissipated electrical energy will increase by a factor of 4.P = I2R (power = current squared times resistance). Therefore, if the current doubles, the amount of dissipated electrical energy will increase by a factor of 4.P = I2R (power = current squared times resistance). Therefore, if the current doubles, the amount of dissipated electrical energy will increase by a factor of 4.


Formula for watts and amps?

power in watts = voltage in volts x current in amps. or power in watts = current in amps x (resistance in ohms) squared i think what you meant was power in watts =(current in amps)squared x resistance in ohms


What are copper losses in a transformer?

Copper losses are purely voltage-drop losses (I squared R) caused by the resistance of the windings, as opposed to hysteresis losses and eddy current losses (so-called iron losses), which are magnetic in nature. They are called copper losses whether the winding conductors are made of copper or not, by the way.


What is the formula for pronumeral?

a squared + b squared = c squared


How do you figure electrical energy?

Energy dissipated/used by a load =(voltage across the load) x (current through it) x (time)(voltage squared) x (time) divided by (load impedance/resistance)(current squared) x (load impedance/resistance) x (time)(power) x (time)


What formula is side squared?

Side length squared is the formula for finding the area of a square.


A squared b squared formula?

x2+y2


Why is the formula for the Pythagorean theorem a bc?

a squared + b squared=c squared


How many watt in 20 amps?

(watts equal) voltage times current (e x I ) 120 x 20 resistance times current squared (r x I squared) 6 ohms x20 squared voltage squared divided by resistance (E squared divided by resistance) 120squared divided by 6 check OHMS LAW,


What is the formula of power being dissipated in a resistor?

Voltage times current. You obtain current from the division of voltage and resistance, so: I[A] = U[V] / R[ohm] and P[W] = U[V] * I[A] it follows, that P[W] = U[V] * (U[V] / R[ohm]) = U[V] ^ 2 * R[ohm] So, voltage squared divided by resistance will give you the power that will be dissipated in a resistor. Whether the resistor will take that abuse is up to its power dissipation rating, however.