Question of the Day Be sure to tell students that the coordinates of the bend are also the coordinat

Mondo Education Updated on 2024-02-08

When I saw the following question, I couldn't help but be stunned. I really admire the proposition's brain, which can be opened to such a degree. But then again, it might really blind some students. The original question is as follows.

2023 yy) Xiao Ming designed an automatic temperature control kettle, and its circuit principle is shown in Figure A. S1 is a temperature control switch, which will automatically close when the temperature is lower than 980C and automatically disconnect when the temperature reaches 1000C. The power supply voltage is always 220V, and S is the main switch. r is the heating wire of the kettle, and its resistance value is 44.

1) Find the current when r is working;

2) Find the electrical power when r is working;

3) In a certain boiling process, the heating efficiency of the pot is constant 75%, the initial temperature of the water is 200C, and the quality is regarded as unchanged. From the closure of the switch S to the first disconnection of the temperature control switch S1, the heat absorbed by the water is 264 105J, S1 disconnects for 48s each time. The first disconnection of S1 is used as the starting point of timing, and the temperature-time image of water after that is made is shown in Figure B. Find the total electrical energy consumed by the circuit within 220s after S1 is disconnected for the first time.

Analysis of the original question] (1) The current when R is working:

2) Electrical power when r is working:

3) By.

It can be seen that the quality of water:

The amount of heat absorbed by the water from 98*0c to 100*0c:

Composed. It can be seen that the electricity consumed by water rising from 98*0c to 10*00c:

From p=w t, the time taken for water to rise from 98*0c to 100*0c:

Therefore, when S1 is disconnected for the first time, the time required for the second disconnection of S1 is: 48+8=56s;

Then within 220s after the first disconnection of S1, the disconnection time is 4 48s=192s, and the heating time is :

t//=3×8s+4s=28s;

The total electrical energy consumed by the circuit within 220s after the first disconnection of S1:

Comments] The coordinate axis of this question is drawn in a curved shape, which can really cover some students, so the teacher must explain to the students that the curved coordinates are also coordinates, and they can be handled according to the general coordinate system.

I wish the teachers and students progress!

February** Dynamic Incentive Program

Related Pages