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anyanavicka [17]
3 years ago
8

The voltage across a resistor is found to be 1.5 V. It is also found that there is a charge of 2 Coulombs passing through the re

sistor within 10 seconds. What is the value of the resistor in ohms
Physics
1 answer:
djverab [1.8K]3 years ago
8 0

Answer:

R = 7.5 Ω

Explanation:

  • If the resistor is in the linear zone of operation, the resistance must obey Ohm's Law:

        V = I*R (1)

  • By definition, the current flowing through the resistor, is equal to the charge passing through the resistor, per unit time.
  • So, we can write the following expression for the current I:

        I =\frac{\Delta Q}{\Delta t} = \frac{2C}{10s}  = 0.2 A (2)

  • From (1) and (2) we can solve for R, as follows:

       R =\frac{V}{I} = \frac{1.5V}{0.2A} = 7.5 \Omega

  • The value of the resistor is 7.5 Ω.
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a) Same

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Explanation:

a)

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\Delta v = |v-u|

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The change in speed is basically the magnitude of the change in velocity (because velocity is a vector, while speed is a scalar, so it has no direction).

In this problem:

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- In situation 2 (catcher receiving the ball), the initial velocity is now

u = v

while the final velocity is now zero (ball coming to rest), so the change in speed is

\Delta v =|0-v|=|-v|

Which means that the two situations have same change in speed.

b)

The change in momentum of an object is given by

\Delta p = m \Delta v

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m is the mass of the object

\Delta v is the change in velocity

If we want to compare only the magnitude of the change in momentum of the object, then it is given by

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c)

The impulse exerted on an object is equal to the change in momentum of the object:

I=\Delta p

where

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As we saw in part b), the change in momentum of the ball in the two situations is the same, therefore the impulse exerted on the ball will also be the same, in magnitude.

However, the direction will be opposite, as the change in momentum has opposite direction in the two situations.

d)

To compare the time of impact in the two situations, we have to look closer into them.

- When the ball is thrown, the hand "moves together" with the ball, from back to ahead in order to give it the necessary push. We can verify therefore that the time is longer in this case.

- When the ball is cacthed, the hand remains more or less "at rest", it  doesn't move much, so the collision lasts much less than the previous situation.

Therefore, we can say that the time of impact is longer when the ball is thrown, compared to when it is catched.

e)

The impulse exerted on an object can also be rewritten as the product between the force applied on the object and the time of impact:

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This can be rewritten as

F=\frac{I}{\Delta t}

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