Physics, 01.08.2020 18:01, banditballer2

A cylindrical capacitor is made of two thin-walled concentric cylinders. The inner cylinder has radius 5 mm , and the outer one a radius 11 mm . The common length of the cylinders is 160 m . What is the potential energy stored in this capacitor when a potential difference 6 V is

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answered: austinpace423

The potential energy is $PE = 2.031 *10^{-7} \ J$

Explanation:

From the question we are told that

The inner radius is $r_i = 5 \ mm = 0.005 \ m$

The outer radius is $r_o = 11 \ mm = 0.011 \ m$

The common length is $l = 160 \ m$

The potential difference is $V = 6 \ V$

Generally the capacitance of the cylindrical capacitor is mathematically represented as

$C = \frac{2 \pi * k * \epsilon_o }{ ln \frac{ r_o }{r_i} } * l$

Where $\epsilon _o$ is the permitivity of free space with the values $\epsilon _o = 8.85*10^{-12} \ m^{-3} \cdot kg^{-1}\cdot s^4 \cdot A^2$

and k is the dielectric constant of the dielectric material here the dielectric material is free space so k = 1

Substituting values

$C = \frac{2* 3.142 * 1 * 8.85*10^{-12} }{ ln \frac{ 0.011}{0.005} } * 160$

$C = 1.129 *10^{-8} \ F$

The potential energy stored is mathematically represented as

$PE = \frac{1}{2} * C * V ^2$

substituting values

$PE = 0.5 * 1.129 *10^{-8} * (6)^2$

$PE = 2.031 *10^{-7} \ J$

answered: Guest

the grams of oxygen gas that can be produced is 20.6 grams of o₂

calculation

2liclo₃ → 2 licl + 3 o₂

step 1: find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5 +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281 moles

step 2: use the mole ratio to calculate the moles of o2

from equation above, liclo₃: o₂ is 2: 3

therefore the moles of o₂=0.4281 moles x3/2 =0.6422 moles

step 3: find mass of o₂

mass= moles x molar mass

from periodic table the molar mass of o₂ = 16 x2= 32 g/mol

mass=0.6422 moles x 32 g/mol = 20.6 grams of o₂

answered: Guest

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

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A cylindrical capacitor is made of two thin-walled concentric cylinders. The inner cylinder has radi...