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In May of 2019 the definition of the ampere, the SI unit of current, was changed - Leaving Cert Physics - Question d - 2020

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In May of 2019 the definition of the ampere, the SI unit of current, was changed. It is now defined in terms of the value of e, the elementary charge. (i) What is c... show full transcript

Worked Solution & Example Answer:In May of 2019 the definition of the ampere, the SI unit of current, was changed - Leaving Cert Physics - Question d - 2020

Step 1

What is current?

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Answer

Current is defined as the rate of flow of electric charge. It is measured in amperes (A), which represent the amount of charge passing through a conductor over a specific period of time.

Step 2

Calculate the current flowing when a mole (6.0 x 10^23) of electrons passes a point in 30 minutes.

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Answer

To calculate the current, we first need to find the total charge that passes in 30 minutes:

  1. Calculate the total charge (Q):

    Q=nimeseQ = n imes e
    where n = number of moles and e = elementary charge (approximately 1.6imes1019C1.6 imes 10^{-19} C).

    Q=(6.0imes1023)imes(1.6imes1019)=96,000CQ = (6.0 imes 10^{23}) imes (1.6 imes 10^{-19}) = 96,000 C

  2. Convert 30 minutes to seconds:

    30extminutes=30imes60=1800extseconds30 ext{ minutes} = 30 imes 60 = 1800 ext{ seconds}

  3. Use the formula for current (I):

    I=Qt=96000C1800s=53.3AI = \frac{Q}{t} = \frac{96000 C}{1800 s} = 53.3 A

Step 3

Explain why this phenomenon occurs.

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The phenomenon of two parallel current-carrying conductors exerting a force on each other occurs due to the magnetic fields generated by the current flowing through the wires. Each wire generates a magnetic field in the surrounding space, and when the two wires are placed parallel to each other, they affect each other's magnetic fields, resulting in a force. If the currents flow in the same direction, the wires attract each other; if they flow in opposite directions, they repel each other.

Step 4

Describe a laboratory experiment to demonstrate this phenomenon.

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Answer

  1. Power supply and U-shaped foil: Set up a power supply that can deliver current and connect two U-shaped pieces of conductive foil to the power supply, ensuring they are parallel to each other and close enough for interaction.

  2. Allow current to flow: Turn on the power supply to allow current to flow through both pieces of foil.

  3. Observe the movement of foil: You should observe the U-shaped foils either attract or repel each other depending on the direction of the currents, thus demonstrating the force generated between the parallel conductors.

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