A defibrillator containing a 18.4 μF capacitor is used to shock the heart of a patient by holding it to the patient's chest. Just prior to discharging, the capacitor has a voltage of 13.2 kV across its plates. How much energy E is released into the patient, assuming no energy losses? E = _____________ J

Respuesta :

Answer:

The energy E is 1603.008 J.

Explanation:

Given that,

Capacitor = 18.4 μF

Voltage = 13.2 kV

We need to calculate the energy

Using formula of energy

[tex]E=W=\int{Q}\ dV[/tex].....(I)

We know that,

[tex]Q=CV[/tex]

Put the value of Q in equation (I)

[tex]E=\int{CV}dV[/tex]

On integration

[tex]E=\dfrac{CV^2}{2}[/tex]

Put the value into the formula

[tex]E=\dfrac{18.4\times10^{-6}\times(13.2\times10^{3})^2}{2}[/tex]

[tex]E=1603.008\ J[/tex]

Hence, The energy E is 1603.008 J.