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State Coulomb’s law of force between charges - Leaving Cert Physics - Question 9 - 2007

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State Coulomb’s law of force between charges. The diagram shows a positively charged gold leaf electroscope. (i) Describe how an electroscope is given a positive... show full transcript

Worked Solution & Example Answer:State Coulomb’s law of force between charges - Leaving Cert Physics - Question 9 - 2007

Step 1

State Coulomb’s law of force between charges.

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Answer

Coulomb’s law states that the force between two charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. Mathematically, this is expressed as:

Fq1q2r2F \propto \frac{q_1 \cdot q_2}{r^2}

where FF is the electrostatic force, q1q_1 and q2q_2 are the magnitudes of the charges, and rr is the distance between them.

Step 2

Describe how an electroscope is given a positive charge.

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Answer

To give an electroscope a positive charge, follow these steps:

  1. Take a charged rod (which is negatively charged) and bring it close to the cap of the electroscope without touching it.
  2. The negative charge on the rod will repel the electrons in the electroscope downwards.
  3. While the rod is still near, touch the cap with your finger. This allows electrons to leave the electroscope to the ground.
  4. Remove the charged rod first and then the finger. Now the electroscope will have a net positive charge.

Step 3

What is observed when the cap of an electroscope is earthed? Why does this happen?

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Answer

When the cap of an electroscope is earthed, the charge on the electroscope dissipates. This happens because the earth acts as a reservoir of charge, allowing excess electrons to flow into the ground. As a result, the leaves of the electroscope will hang down since there is no longer an electrostatic repulsion due to the removed charge.

Step 4

How is the cap of the electroscope earthed?

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The cap of the electroscope can be earthed by touching it with a finger or connecting it to the ground using a conductive material. This allows charges to flow freely between the electroscope and the earth.

Step 5

What happens to the capacitor when the switch is in position A?

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Answer

When the switch is in position A, the capacitor charges up. The current from the battery flows into the capacitor, storing electrical energy in the form of an electric field between its plates.

Step 6

Why does the bulb light when the switch is in position B?

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Answer

When the switch is moved to position B, the capacitor discharges. This creates a current that flows through the bulb, causing it to light up briefly as the stored energy in the capacitor is released.

Step 7

When the switch is in position A the capacitor has a charge of 0.6 C, calculate its capacitance.

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Answer

The capacitance CC can be calculated using the formula:

C=QVC = \frac{Q}{V}

where QQ is the charge and VV is the voltage. Here, Q=0.6CQ = 0.6 C and V=6VV = 6 V. Therefore, substituting the values:

C=0.66=0.1 FC = \frac{0.6}{6} = 0.1 \text{ F}

Step 8

Give a use for a capacitor.

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Answer

Capacitors are used to store energy in electronic circuits. For instance, they can store electrical energy to smooth out voltage fluctuations in power supply circuits or to filter signals in radio and audio devices.

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