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Ivenika [448]
3 years ago
7

Three charges are enclosed inside a spherical closed surface. The net flux through the surface is −216 N · m2/C. If two of the c

harges inside the closed surface are 1.74 nC and 1.16 nC, determine the value (magnitude and sign) of the third charge.
Physics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

q₃ = -4.81 nC

Explanation:

We can use the Gauss Law here:

∅ = q/∈₀

where,

∅ = Net Flux = - 216 N.m²/C

q = total charge enclosed inside sphere = ?

∈₀ = permittivity of free space = 8.85 x 10⁻¹² C/N.m²

Therefore,

- 216 N.m²/C = q / 8.85 x 10⁻¹² C²/N.m²

q = (-216 N.m²/C)(8.85 x 10⁻¹² C²/N.m²)

q = - 1.91 nC

So, the total charge will be sum of all three charges:

q = q₁ + q₂ + q₃

- 1.91 nC = 1.74 nC + 1.16 nC + q₃

q₃ = - 1.91 nC - 1.74 nC - 1.16 nC

<u>q₃ = -4.81 nC</u>

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What is the energy in the spark produced by discharging the second capacitor? 1. The same as the discharge spark of the first ca
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Complete Question

The two isolated parallel plate capacitors be-  low, one with plate separation d and the other  with D > d, have the same plate area A and

are given the same charge Q.

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 1. The same as the discharge spark of the first capacitor

2. More energetic than the discharge spark of the first capacitor

3. Less energetic than the discharge spark of the first capacitor

Answer:

The correct option is 2

Explanation:

The formula for the energy stored in the capacitor is

             U = \frac{Q^2}{2C}

And generally the formula for finding the capacitance of a capacitor is

               C = \frac{\epsilon_oA}{d}

We can denote the capacitance of the first capacitor as C_1 = \frac{\epsilon_oA}{d}

          and   denote the capacitance of the second  capacitor as C_2 = \frac{\epsilon_oA}{D}

Looking at this formula we can see that C varies inversely with d            

as D > d it means that C_1 > C_2

                Since the charge is constant

                         U\  \alpha\ \frac{1}{C} i.e U varies inversely with C

           So C_1 > C_2   => U_2 >U_1

This means that the energy of spark would be more for capacitor two compared to capacitor one

The correct option is 2

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Answer:

Explanation:

To solve this, we must know two things.

First, the force of gravity acting on an orbiting object is equal to its mass times centripetal acceleration.

Second, the force of gravity between two objects is defined by Newton's law of universal gravitation: Fg = mMG/r², where Fg is the force of gravity, m and M are the masses of the objects, G is the universal constant of gravitation, and r is the distance between the objects.

Therefore:

Fg = m v²/r

mMG/r² = m v²/r

v² = MG/r

The potential energy of each planet is:

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The kinetic energy of each planet is:

KE = 1/2 mv² = 1/2 m (MG/r) = 1/2 mMG/r

The total mechanical energy is:

ME = PE + KE = 3/2 mMG/r

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Murljashka [212]

Answer:

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b) Let's use Newton's equation for rotational motion

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3 years ago
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