Question

To provide the pulse of energy needed for an intense bass, some car stereo systems add capacitors. One system uses a 1.6FF capacitor charged to 24 VV, double the normal 12 VV provided by the car's battery. How much energy does the capacitor store at 12 V? How much energy does the capacitor store at 24 V?

Answer 1

Answer:

Energy stored at 12 volt will be 115.2 J and energy stored at 24 volt will be 460.8 volt

Explanation:

We have given capacitance of capacitor C = 1.6 F

Normal voltage V = 12 volt

And system uses 2 volt to charge the system

We know that energy stored in the capacitor is equal to $E=\frac{1}{2}CV^2$

So energy stored at 12 volt will be equal to $E=\frac{1}{2}\times 1.6\times 12^2=115.2j$

And energy stored at 24 volt will be equal to $E=\frac{1}{2}\times 1.6\times 24^2=460.8j$

So energy stored at 12 volt will be 115.2 j and energy stored at 24 volt will be 460.8 j

Answer 2

Answer:

Explanation:

Capacitance, C = 1.6 F

(a) V = 12 V

Energy stored in a capacitor,

U = 0.5 C V²

U = 0.5 x 1.6 x 12 x 12 = 115.2 J

(b) V = 24 V

Energy stored in a capacitor,

U = 0.5 C V²

U = 0.5 x 1.6 x 24 x 24 = 460.8 J