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A 20-μF capacitor has a charge of 60 μC. How much energy is stored in this capacitor? A) 100 μJ B) 80 μJ C) 90 μJ D) 70 μJ E) 110 μJ

Answer :

thedemon840

Answer:

C...90

Explanation:

Energy stored = 1/2 of(Charge × Voltage)

....then substitute Voltage with (Charge ÷ Capacitance)

Then obtain the formula for energy stored as....

E = 1/2 of (Charge)^2 ÷ Capacitance

= 0.5 x (60^2÷20)

;Energy stored = 90

C) 90 μJ

As

Energy stored = 1/2 of(Charge × Volt)

Substitute Volt with (Charge/Capacitance)

Then obtain the formula for energy stored as

W= 1/2 *(Charge)^2 /Capacitance

= 0.5 x (60^2/20)

Energy stored = 90 μJ

Energy stored in a capacitor

The energy stored in the capacitor is equal to the work that is turned into the charge in the capacitor.

If the voltage at any on the spot "v", and a small amount of charge δq is transferred at this voltage, then the work finished will be v δq.

Hence the total work done, and accordingly, the energy stored in the capacitor will be:

W=∫Q0V dQ

From this

W=∫Q0qC dQ

After this

W=1/2CV^2

Learn more about Energy stored in a capacitor here

https://brainly.com/question/15305324

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