Why I*ε Cannot be Used to Calculate Power

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In summary, the reason we cannot use I*ε to calculate power is because in a pure LC circuit (R=0) or pure L or pure C circuit, there is no energy or power absorbed. This is because the inductor and capacitor can store energy while resistance only dissipates energy, making resistance the only electric accessory that can generate power.
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hidemi
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Homework Statement
In a series RLC circuit the rms value of the generator emf is ε and the rms value of the current is i. The current lags the emf by Φ, The average power suppplied by the generator is given by:

A. (iε/2) cos Φ
B. iε
C. i^2/Z
D.( i^2)Z
E. (i^2)R

ans: E
Relevant Equations
P = IV = I^2R = V^2/R
Why can't we calculate use I*ε to obtain the power?
 
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If it is a pure LC circuit (R=0) (or pure L or pure C) there will be no energy/power absorbed.
 
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Keith_McClary said:
If it is a pure LC circuit (R=0) (or pure L or pure C) there will be no energy/power absorbed.
I think I got what you mean, but I would like to double check.
Is it because inductor and capacitor both can store energy while resistance only dissipates energy, and thus resistance is the only electric accessory that can generate power?
 
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Keith_McClary said:
@hidemi Right.
Thank you for confirming!
 

FAQ: Why I*ε Cannot be Used to Calculate Power

Why can't I*ε be used to calculate power?

The reason I*ε cannot be used to calculate power is because it is not a valid equation for power. The equation I*ε is used to calculate the voltage drop across a resistor, not the power dissipated by the resistor. To calculate power, you need to use the equation P=VI, where P is power, V is voltage, and I is current.

Can I*ε be used to calculate power in any situation?

No, I*ε can only be used to calculate the voltage drop across a resistor. In other situations, such as in a circuit with capacitors or inductors, different equations must be used to calculate power.

What happens if I use I*ε to calculate power?

If you use I*ε to calculate power, you will get an incorrect value. This is because the equation does not take into account the resistance of the circuit, which is necessary to accurately calculate power.

Are there any other equations that can be used to calculate power?

Yes, there are several other equations that can be used to calculate power depending on the specific situation. Some examples include P=I^2*R, P=V^2/R, and P=I^2*Rcosθ, where R is resistance and θ is the phase angle between voltage and current.

How can I calculate power accurately?

To calculate power accurately, you need to use the correct equation for the specific situation. It is important to understand the components and characteristics of the circuit in order to select the appropriate equation. It is also important to use accurate measurements for voltage, current, and resistance in the calculation.

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