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

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9. 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 posit... show full transcript

Worked Solution & Example Answer:9. 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 point 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, it is expressed as: Fextisproportionaltoq1q2r2F ext{ is proportional to } \frac{q_1 \cdot q_2}{r^2}

Step 2

Describe how an electroscope is given a positive charge.

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Answer

To give an electroscope a positive charge, take a charged rod (which is positively charged) and bring it close to the cap of the electroscope without touching it. This will cause electrons in the electroscope to be repelled down into the metal rod, leaving the electroscope positively charged. Remove the charged rod while holding the electroscope, ensuring that contact is not made during this process.

Step 3

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

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When the cap of the electroscope is earthed, you observe that the leaves of the electroscope collapse and return to a neutral position. This happens because the positive charge is neutralized as electrons flow from the earth through the grounding connection into the electroscope, causing it to lose its charge.

Step 4

How is the cap of the electroscope earthed?

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The cap of the electroscope is earthed by touching it with a conductive material that is connected to the ground. This allows the charge to flow from the cap to the ground, neutralizing it.

Step 5

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

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When the switch is in position A, the capacitor is charging from the battery. As current flows into the capacitor, it accumulates charge until it reaches the maximum voltage that the battery provides.

Step 6

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

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The bulb lights up in position B because the circuit is now completed, allowing the stored charge in the capacitor to discharge through the bulb, providing it with electrical energy which lights it momentarily.

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, C, can be calculated using the formula: C=QVC = \frac{Q}{V}
Where Q is the charge and V is the voltage. Here,
C=0.6C6V=0.1FC = \frac{0.6 \, C}{6 \, V} = 0.1 \, F

Step 8

Give a use for a capacitor.

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Answer

Capacitors are commonly used to store charge in electronic devices, smooth out fluctuations in power supply (filtering), and in timing applications in circuits.

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