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# Finding the Energy in a Capacitor and Inductor

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7. What is the energy in joules stored in the capacitor below?
The capacitor is shown with 10 volts on each side of it (plus on the left of the capacitor, - on the right), and C = 20 microfarads.

8. What is the energy in joules stored in the inductor shown below?
There is a drawing of an inductor with 7 A flowing to the right, and below is written 7 m H.

https://brainmass.com/engineering/electrical-engineering/finding-energy-capacitor-inductor-116903

#### Solution Preview

The energy U stored in a capacitor with capacitance C under potential drop V is given by:

U = 1/2 * C * V^2

In our case:

V =10v
C ...

#### Solution Summary

This solution provides calculations for finding the energy in a capacitor and inductor. What the energy in joules stored in the inductor is shown is determined.

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## Compute the energy, voltage and instantaneous power for capacitors and inductors.

1. What is the energy in a 2 F capacitor at t = pi seconds if v(t) = cos(2t) ?
2. What is the energy in a 10 H inductor at t = pi seconds if i(t) = cos(2t) ?
3. The current flowing through a 1 H inductor is i(t) = 10*cos(20t) amps. Find the voltage.
4. The voltage across a 2 F capacitor is v(t) = 20*e^(-4t) volts. What is the instantaneous power?
5. The current flowing through a 2 H inductor is i(t) = 5*cos(2t) amps. What is the voltage?
6. The charge in a 2 F capacitor varies as q(t) = 20*e^(-4t)*sin(2t) C. What is the voltage?

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