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Capacitors

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Question 21

An aerospace testing facility uses a high-voltage Electromagnetic Pulse (EMP) simulator to test the lightning strike resilience of carbon-composite aircraft fuselages.

The simulator relies on a large capacitor bank to store the energy required to generate the high-intensity current pulses. When the capacitor bank is fully charged:

  • potential difference across the bank = 45 kV45\text{ kV}45 kV
  • total electrical energy stored in the bank = 405 kJ405\text{ kJ}405 kJ
a.

Calculate the total capacitance, CCC, of the capacitor bank.

[2]
b.

Explain why the individual capacitors in the bank should be connected in parallel rather than in series to achieve this total capacitance.

[1]
c.

The total stored energy must be discharged into the test fuselage in a pulse duration of less than 15 μs15\ \mu\text{s}15 μs.

Explain, using a calculation, why the simulator is powered by this capacitor bank instead of being connected directly to the facility's local diesel generator, which has a continuous power output of 3.6 MW3.6\text{ MW}3.6 MW.

[2]
d.

In the research lab adjacent to the testing facility, a compact neutron generator operates using the following nuclear fusion reaction:

deuterium+tritium→helium-4+neutron \text{deuterium} + \text{tritium} \rightarrow \text{helium-4} + \text{neutron} deuterium+tritium→helium-4+neutron

Calculate the number of these fusion reactions that must occur for the total nuclear energy released to equal the electrical energy stored in the EMP simulator's capacitor bank.

  • mass of deuterium = 2.014102 u2.014102\text{ u}2.014102 u
  • mass of tritium = 3.016049 u3.016049\text{ u}3.016049 u
  • mass of helium-4 = 4.002603 u4.002603\text{ u}4.002603 u
  • mass of neutron = 1.008665 u1.008665\text{ u}1.008665 u
  • 1 u=1.661×10−27 kg1\text{ u} = 1.661 \times 10^{-27}\text{ kg}1 u=1.661×10−27 kg
  • speed of light, c=3.00×108 m s−1c = 3.00 \times 10^8\text{ m s}^{-1}c=3.00×108 m s−1
[4]

Capacitors Questions

  1. A Level
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