Question

In: Physics

E=1/2 CV^2 E= 1/2 (164 microF) (10^-6 F) (119 V)^2 E= 1.168 J How do you...

E=1/2 CV^2 E= 1/2 (164 microF) (10^-6 F) (119 V)^2 E= 1.168 J How do you figure out the J from the F V^2

Expert Solution

We begin with dimensional analysis. The formula we have is

Where F = Farads, V = Volts, and J = Joules.

Starting with J which is the unit of both Work and Energy. Work is Force times Distance, i.e.
This gives us the units, ,
N = Newtons and L = length.

On the other side we have C and V². Taking C first, which is given by, Capacitance = Charge divided by Voltage, i.e. , Q = fundamental unit so we can't break it down further.

For V, we have,

Where, epsilon the vacuum permittivity is given by the coulomb force,

Using this in the equation of V, we have,

Now we have what we need, so we can see what units 1/2 CV^2 will have,

genius_generous answered 7 months ago

proof of eulers theory:- V+F-E=2

How do you find the domain of: f(g)= 5x^2+4 f(g)= 3x; -2<x<6 f(g)= (1) / 3x-6...

How do you find the domain of: f(g)= 5x^2+4 f(g)= 3x; -2<x<6 f(g)= (1) / 3x-6 f(g)= (x+2) / x^2-1 f(g)= x^4 / x^2+x-6 f(g)= sqrt (x+1) f(g)= sqrt (x^2+9)

a) If you have five capacitors with capacitances 1.1 × 10-6 F, 3.5 × 10-6 F,...

a) If you have five capacitors with capacitances 1.1 × 10-6 F, 3.5 × 10-6 F, 5.5 × 10-6 F, and two 8.6 × 10-6 F in series. What is the equivalent capacitance of all five? b) Initially the capacitors are uncharged. Now a 7 V battery is attached to the system. How much charge is on the positive plate of the 5.5 × 10-6 F capacitor? c)What is the potential difference between the plates of the 5.5 × 10-6...

GVC_E(V,E) 1. C =Φ 2. while ( E≠ Φ) 3. do 4. { select an edge...

GVC_E(V,E) 1. C =Φ 2. while ( E≠ Φ) 3. do 4. { select an edge (u,v)∈E; 5. C = C∪{u}∪{v}; 6. delete u and v from V and edges with u or v as an endpoint from E; 7. } 8. for each u∈C 9. { if C\{u} is a valid cover; 10. C = C\{u}; 11. } How can I complete the pseudo code on line 4 and line 8 by adding a heuristic specifying how to select...

Find f. f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10

1. If you need to do 1.6x10^-6 J of work in order to get a charge...

1. If you need to do 1.6x10^-6 J of work in order to get a charge closer to another charge, what is the increase in potential energy in J of the moved charge? 2. The work done by the electric force as a positive test charge of 3.0x10^-6 C moves from A to B is 6.0x10^-5 J. What is the difference in electric potential energy (EPE) between points B and A, in Joules? What is the potential difference (V) between...

Find (f −1)'(a). f(x) = 6 + x2 + tan(πx/2), −1 < x < 1, a = 6

verify that the function det has the following properties 1. det(... ,v,..., v,...)=0 2. det(...,cv+dw,...)=cdet(...,v,...)+ddet(...,w,...) 3....

verify that the function det has the following properties 1. det(... ,v,..., v,...)=0 2. det(...,cv+dw,...)=c*det(...,v,...)+d*det(...,w,...) 3. use the above properties and normalization to prove that A= det(...,v+cw,...w,...)=det(...,v,...,w,...) B=det(...,v,...,w,...)= (-1)*det(...,w,...,v,...) and C= det [diag (λ1, ... , λn ) ] = Πiλi

Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=

how do i get x= 6.011 E-6 from x^2 =3.614E-11