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2 years ago

9

What has a larger capacitance, an aluminum sphere with a 10 cm diameter or one with a 100 cm diameter? Question 16 options: 10 c

m 100 cm They are both the same. cannot be determined

1 answer:

creativ13 [48]2 years ago

3 0

$\boxed{\sf C=\dfrac{Q}{V}}$

But

$\boxed{\sf \Delta V_{R_2\to R_1}={\displaystyle{\int}^{R_1}_{R_2}}dV=-{\displaystyle{\int}^{R_1}_{R_2}}\dfrac{kQ}{r^2}dR}$

Hence higher the radius lower the voltage
Lower the voltage higher the capacitance .

<h3>100cm diameter having aluminium sphere has a larger capacitance</h3>

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A cord is used to vertically lower an initially stationary block of mass M = 3.6 kg at a constant downward acceleration of g/7.

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Explanation:

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initial velocity of the block, $u=0 m.s^{-1}$

constant downward acceleration, $a_d= \frac{g}{7}$

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height through which the block falls, d = 4.2 m

(a)

Force by the cord on the block,

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∴Work by the cord on the block,

$W_c= F_c\times d$

$W_c= -30.24\times 4.2$

We take -ve sign because the direction of force and the displacement are opposite to each other.

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(b)

Force on the block due to gravity:

$F_g= M.g$

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$F_g=3.6\times 9.8$

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Kinetic energy of the block will be equal to the net work done i.e. sum of the two works.

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$K.E.= W_g+W_c$

$K.E.=148.176-127.008$

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From the equation of motion:

$v^2=u^2+2a_d\times d$

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