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Sergio039 [100]
3 years ago
5

A solid conducting sphere of radius 2.00 cm has a charge of 6.77 μC. A conducting spherical shell of inner radius 4.00 cm and ou

ter radius 5.00 cm is concentric with the solid sphere and has a charge of −2.13 μC. Find the electric field at the following radii from the center of this charge configuration. (a) r = 1.00 cm (b) r = 3.00 cm (c) r = 4.50 cm (d) r = 7.00 cm
Physics
1 answer:
madreJ [45]3 years ago
5 0

Answer:

Part a)

E = 0

Part b)

E = 6.77 \times 10^7 N/C

Part c)

Electric field inside the conductor is again zero

E = 0

Part d)

E = 8.52 \times 10^6 N/C

Explanation:

Part a)

conducting sphere is of radius

R = 2 cm

so electric field inside any conductor is always zero

So electric field at r = 1 cm

E = 0

Part b)

Now at r = 3 cm

By Gauss law

E = \frac{kq}{r^2}

E = \frac{(9\times 10^9)(6.77 \muC)}{0.03^2}

E = 6.77 \times 10^7 N/C

Part c)

Again when we use r = 4.50 cm

then we will have

Electric field inside the conductor is again zero

E = 0

Part d)

Now at r = 7 cm

again by Gauss law

E = \frac{kQ}{r^2}

E = \frac{(9\times 10^9)(6.77\mu C - 2.13\mu C)}{0.07^2}

E = 8.52 \times 10^6 N/C

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uysha [10]
In a RC-circuit, with the capacitor initially uncharged,  when we connect the battery to the circuit the charge on the capacitor starts to increase following the law:
Q(t) = Q_0 (1-e^{-t/\tau})
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Using this law, we can answer all the three questions of the problem.

1) Using R=39.1 \Omega and C= 65.7 mF=65.7\cdot 10^{-3}F, the time constant of the circuit is:
\tau = RC=(39.1 \Omega)(65.7 \cdot 10^{-3}F)=2.57 s

2) To find the charge on the capacitor at time t=1.95 \tau, we must find before the maximum charge on the capacitor, which is
Q_0 = CV=(65.7 \cdot 10^{-3}F)(9 V)=0.59 C
And then, the charge at time t=1.95 \tau is equal to
Q(1.95 \tau) = Q_0 (1-e^{-t/\tau})=(0.59 C)(1-e^{-1.95})=0.51 C

3) After a long time (let's say much larger than the time constant of the circuit), the capacitor will be fully charged, this means its charge will be Q_0 = 0.59 C. We can see this also from the previous formule, by using t=\infty:
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3 years ago
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Water is a compound because it always has two hydrogen atoms for each oxygen atom. Water can be broken down into simpler substances. Water is a compound because pure water is composed of only H₂O molecules. Each molecule of water is a chemical combination of two hydrogen atoms and one oxygen atom.  Water is a type of molecular compound.

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<h3>Further explanation</h3>
  • Compounds are substances composed of two or more different elements chemically combined that can be separated into simpler substances only by chemical reactions.
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  • A molecular bond or covalent bond occurs as a result of electrons can be shared between atoms. Molecular compounds have molecular (covalent) bonds.
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<h3>Learn more</h3>
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Keywords: water, H₂O, molecular compound, because,  can be broken down into, separated, simpler substances,  always has two hydrogen atoms, for each, is made of, joined together, covalent, ionic, chemical reactions, means, composed,  of two or more, different elements, combined

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Answer:

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Use \Delta y = 0 due to condition of distance traveled.

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Use the expression in the first equation to have

R = \frac{2v^2 \cos\theta\sin\theta}{g}

Using trigonometric identities, you have the answer of the distance.

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Marysya12 [62]
We know, F = k * q₁ * q₂ / r²

Substitute the known values, 
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F = 315 * 10⁹ / 1.44

F = 218.75 * 10⁹ N

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