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larisa86 [58]
3 years ago
13

Suppose the current in a conductor decreases exponentially with time according to the equation I(t) = I0e-t/τ, where I0 is the i

nitial current (at t = 0), and τ is a constant having dimensions of time. Consider a fixed observation point within the conductor.
Required:
a. How much charge passes this point between t = 0 and t = τ?
b. How much charge passes this point between t = 0 and t = 10 τ?
c. What If ? How much charge passes this point between t = 0 and t = [infinity]?

Physics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

Pls see attached file

Explanation:

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anyanavicka [17]

Explanation:

1. The kinetic energy of any object is calculated as :

E=\dfrac{1}{2}mv^2...........(1)

Dimensional formula of energy, [E]=[ML^2T^{-2}]

Dimensional formula of mass is [M]

Dimensional formula of velocity, [v]=[LT^{-1}]

[ML^2T^{-2}]=\dfrac{1}{2}[M]([LT^{-1}])^2

So, [ML^2T^{-2}]=[ML^2T^{-2}]

LHS = RHS

2. The potential energy is given by :

E=mgh

Dimensional formula of mass is [M]

Dimensional formula of g is [LT^{-2}]

Dimensional formula of height is [L]

Dimensional formula of energy, [E]=[ML^2T^{-2}]

So, E=[M][LT^{-2}][L]

So, LHS = RHS

Hence, this is the required solution.

7 0
3 years ago
Standing waves can be established within a cylindrical volume. However, it is not known if the volume is closed at both ends, op
Evgen [1.6K]

The frequencies are missing in the question. The three successive resonance frequencies within the volume are $f_1, f_2 \text{ and}\ f_3$.

Solution :

Let the volume be : v

The frequency for one end open and one end closed is given by :

So, $ f_n = \frac{(2n-1)v}{4L}$

Therefore,

$f_1 = \frac{v}{4L}$     ,     $f_2 = \frac{3v}{4L}$  ,     $f_3 = \frac{5v}{4L}$

So, $f_2 - 3f_1$  and  $f_3=\frac{5}{3}f_2$

Therefore, the ratio of   $\frac{f_3}{f_2}=\frac{5}{3}$    which is not a whole number.

Now the frequency for open volume and closed at both end

$f_n=\frac{nv}{4L}$

So,    $f_1=\frac{v}{4L}$   ,    $f_2 = 2f_1$ ,  $f_2=3f_1$

From above formulae we can see that  ratio of     is not a whole number that is a identification for the frequency of the volume at one end open and one end closed.

Also ratio of the consecutive frequency of the volume at open from both side and closed from both side is always a whole number.

4 0
3 years ago
A concave mirror produces four times magnified image of ab object placed at 10 cm in front of the mirror. find the position of i
Julli [10]

Answer:

40 cm

Explanation:

We are given that

Magnification of concave mirror, m=4

Object distance, u=-10cm

We have to find the position of image.

We know that

Magnification of concave mirror, m=-\frac{v}{u}

Using the formula

4=-\frac{v}{-10}

4=\frac{v}{10}

v=4\times 10

v=40cm

Hence, the image is formed at distance 40 cm behind the mirror.

7 0
3 years ago
A mountain climber packs too much gear and finds it difficult to reach the summit before a storm blows in. How does this scenari
MissTica

As the climber climbs the mountain, he needs to over his or her own weight component along the slope of the mountains.

By Newton's second law: Net force = Mass x acceleration

Hence, greater the mass, greater will be the force required to move up the mountain. Hence, the climber will need to apply higher force to climb up as he or she has packed too much, which resulted in the increase in the mass. Hence, there is a increase in the force which will pull him or her downward.

5 0
3 years ago
Read 2 more answers
What is a likely consequence of continued human population growth ​
quester [9]

Answer:

Rapid human population growth has a number of consequences. Population grows fastest in the world's poorest countries. High fertility rates have historically had a strong relation with poverty, and high childhood mortality rates

Explanation:

i got it from goo.gle but i hope that helps:)

have a good day bro

7 0
3 years ago
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