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diamong [38]
3 years ago
5

Two identical small charged spheres are a certain distance apart, and each initially experiences an electrostatic force of magni

tude F due to the other. With time, charge gradually diminishes on both spheres. When each of the spheres has lost half its initial charge, the magnitude of the electrostatic force will be
a) 1/16 F
b) 1/8 F
c) 1/2 F
d) 1/4 F
Physics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Answer:

d) 1/4 F

Explanation:

The magnitude of electrostatic force between stationary charges is described by Coulomb's law. This law states that this force is proportional to the magnitudes of the charges:

F\propto q_1q_2

When each of the spheres has lost half its initial charge, we have:

q_1'=\frac{q_1}{2}\\q_2'=\frac{q_2}{2}

So, the new electrostatic force is:

F'\propto q_1'q_2'\\F'\propto \frac{q_1}{2}\frac{q_2}{2}\\F'\propto \frac{q_1q_2}{4}\\F'\propto\frac{1}{4}F

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When the magnetic flux through a single loop of wire increases by , an average current of 40 A is induced in the wire. Assuming
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COMPLETE QUESTION:

<em>When the magnetic flux through a single loop of wire increases by </em>30 Tm^2<em> , an average current of 40 A is induced in the wire. Assuming that the wire has a resistance of </em><em>2.5 ohms </em><em>, (a) over what period of time did the flux increase? (b) If the current had been only 20 A, how long would the flux increase have taken?</em>

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(b). The time period is 0.6s.

Explanation:

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(1). \: \: \varepsilon = \dfrac{\Delta \Phi_B}{\Delta t }

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\varepsilon  = IR,

then equation (1) becomes

(2). \: \:IR= \dfrac{\Delta \Phi_B}{\Delta t }.

(a).

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(40A)(2.5\Omega)= \dfrac{30Tm^2}{\Delta t },

which we solve for \Delta t to get:

\Delta t = \dfrac{30Tm^2}{(40A)(2.5\Omega)},

\boxed{\Delta t = 0.3s},

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(b).

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\boxed{\Delta t = 0.6 s\\}

which is a longer time interval than what we got in part a, which is understandable because in part a the rate of change of flux \dfrac{\Delta \Phi_B}{\Delta t} is greater than in part b, and therefore , the current in (a) is greater than in (b).

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