asked 127k views
1 vote
If 0.5 kg of this material is used in a transformer core, how long would it have to operate at a frequency of 60 cps to heat up 1

asked
User Fiorenza
by
7.8k points

1 Answer

5 votes

Answer:

Hello your question is incomplete attached below is the complete question

answer : 49 seconds

Step-by-step explanation:

considering only Hysteresis loss

we have to calculate the Area affected/under the Hysteresis loss

= volume * area

= 4 * ( 1.5 * 20 ) = 120 tesla. A/m

next we calculate the volume of the material

= mass of material / density

= 500 grams / 7.9 g/cm^3 = 6.33 * 10^-5 m^3

next we calculate the heat lost per cycle

= 6.33 * 10^-5 m^3 * 120 = 0.007596 joules

The total heat required to raise temperature by 1°c

= Cp * ΔT * n

= 3R * n * ΔT = 3(8.314) * 8.95 * 1 = 223.23 Joules

where n = number of moles = 500grams / 55.85 = 8.95moles

ΔT = 1

Therefore the time required to have to operate at a frequency of 60 cps

= Total heat required / heat lost per cycle

=( 223.23 / 0.007596 ) 60 cps

= 489.796 seconds ≈ 49 seconds

If 0.5 kg of this material is used in a transformer core, how long would it have to-example-1
answered
User Davidbrcz
by
8.7k points

Related questions

asked Oct 20, 2024 233k views
Kartik Chugh asked Oct 20, 2024
by Kartik Chugh
7.6k points
2 answers
3 votes
233k views
asked Apr 6, 2024 101k views
Richard Walton asked Apr 6, 2024
by Richard Walton
9.1k points
1 answer
3 votes
101k views
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.