Find the total capacitance for three capacitors connected in series, given their individual
capacitances are 1.0 F, 5.0 F, and 8.0 F.

0.75F

When capacitors are connected in series, the reciprocal of their total capacitance is the sum of the reciprocals of their individual capacitances. In other words, when, say, three capacitors, C₁, C₂ and C₃ are connected in series, their total capacitance, C, is given by;

= + +  -------------------(i)

Now to solve the question,

Let;

C₁ = 1.0F

C₂ = 5.0F

C₃ = 8.0F

Substitute these values into equation (i) as follows;

= + +

Solve for C

=

=

C =

C = 0.75

Therefore, their total capacitance is 0.75F

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.