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Discrete Mathematics, Continuous Mathematics, and Probability A10100W1- Notes

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This document is done for the module code: A10100W1, module title: Discrete Mathematics, Continuous Mathematics, and Probability, which is taught at University of Oxford. The document also contains the answers of the question as well.

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University Of Oxford
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Discrete Mathematics, Continuous Mathematics

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Discrete Mathematics, Continuous Mathematics, and Probability
(A10100W1)

Electrical Engineering Questions and Answers

Question

Three impedances are connected in series across a 100V, 2kHz supply.

The impedances comprise:

• an inductance of 0.45mH and resistance 2Ω
• an inductance of 570μH and 5Ω resistance
• a capacitor of capacitance 10μH and resistance 3Ω

Assuming no mutual inductive effects between the two inductances.

(i) What is total impedance of the circuit.
(ii) What is the total current of the circuit.
(iii) Calculate the circuit phase angle.
(iv) Calculate the voltages across each impedance.
(v) Draw the phasor diagram.



ANSWER:

ω = 2πf

= 4000πK

Now, impedance (Z1) = R + jXL
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Uploaded on
April 3, 2022
Number of pages
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Written in
2021/2022
Type
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Subjects

  • a10100w1
  • discrete mathematics
  • mathematics
  • maths
  • probability
  • continuous mathematics
  • electrical engineering
  • electrical engineering
  • discrete mathematics
  • continuous
  • university of oxford
  • oxford university

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