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MMLU-Pro / 12003 / A spherical shell of paraffin is contained between two spherical conductors. The…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A spherical shell of paraffin is contained between two spherical conductors. The inner sphere has a radius of 0.60 meter, and the inner radius of the outer sphere is 0.70 meter. (a) What is the capacitance of the space between the conductors? (b) What is the largest electric potential difference which may be applied to the system if dielectric breakdown is to be avoided? (c) If the electric potential difference of (b) could be established between the two spheres, how much energy would be stored in the electric field? (d) If the heat loss from a particular building under certain conditions is 40,000 Btu per hour, for how long would the energy in the electric field of (c) maintain the temperature in this building if this energy were released?

category

engineering

options

  1. 0.00085 microfarad, 60 × 10^6 volts, 68 × 10^3 joules, 6.0 seconds
  2. 0.00125 microfarad, 42 × 10^6 volts, 52 × 10^3 joules, 4.3 seconds
  3. 0.00108 microfarad, 48 × 10^6 volts, 54 × 10^3 joules, 4.6 seconds
  4. 0.00110 microfarad, 45 × 10^6 volts, 58 × 10^3 joules, 4.5 seconds
  5. 0.00103 microfarad, 44 × 10^6 volts, 56 × 10^3 joules, 4.8 seconds
  6. 0.00150 microfarad, 35 × 10^6 volts, 45 × 10^3 joules, 3.6 seconds
  7. 0.00120 microfarad, 40 × 10^6 volts, 50 × 10^3 joules, 4.0 seconds
  8. 0.00092 microfarad, 50 × 10^6 volts, 60 × 10^3 joules, 5.2 seconds
  9. 0.00140 microfarad, 38 × 10^6 volts, 49 × 10^3 joules, 3.9 seconds
  10. 0.00078 microfarad, 55 × 10^6 volts, 62 × 10^3 joules, 5.5 seconds

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
12003
task_id
6d138f3a-b08c-5d72-87b7-64bf79b8126b
task_key
default--test--12003
task_revision_id
1
config / split
default / test

Official source

initial import