Question

a) The field of view for an infra-red detector has a non-linear area. Measurements of this sensitive area are taken at equal 1-metre intervals across the horizontal plane, and the corresponding height of the sensitive field is recorded at each point. The experimental data is given in the table below. Vertical sensitive height [m] 4 12 12 12 6 2 2 2 6 12 12 Horizontal measurement point 1 2 3 4 5 6 7 8 9 10 11 [m] Sketch the total sensitive area for the field of view for the sensor and use a numerical integration technique of your choice to quantify an estimate for this area. b) Use the Newton-Raphson iterative method to determine the positive root of the quadratic voltage equation given below. Express your answer to three significant figures. Check the value of the root by using the quadratic formula. v = 3t^2 + 5t - 17 [V]

          a)
The field of view for an infra-red detector has a non-linear area. Measurements of this sensitive area
are taken at equal 1-metre intervals across the horizontal plane, and the corresponding height of the
sensitive field is recorded at each point. The experimental data is given in the table below.
Vertical sensitive height [m]
4
12
12
12
6
2
2
2
6
12
12
Horizontal measurement point
1
2
3
4
5
6
7
8
9
10
11
[m]
Sketch the total sensitive area for the field of view for the sensor and use a numerical integration
technique of your choice to quantify an estimate for this area.
b)
Use the Newton-Raphson iterative method to determine the positive root of the quadratic voltage
equation given below. Express your answer to three significant figures. Check the value of the root by
using the quadratic formula.
v = 3t^2 + 5t - 17 [V]

Show more…

a)
The field of view for an infra-red detector has a non-linear area. Measurements of this sensitive area
are taken at equal 1-metre intervals across the horizontal plane, and the corresponding height of the
sensitive field is recorded at each point. The experimental data is given in the table below.
Vertical sensitive height [m]
4
12
12
12
6
2
2
2
6
12
12
Horizontal measurement point
1
2
3
4
5
6
7
8
9
10
11
[m]
Sketch the total sensitive area for the field of view for the sensor and use a numerical integration
technique of your choice to quantify an estimate for this area.
b)
Use the Newton-Raphson iterative method to determine the positive root of the quadratic voltage
equation given below. Express your answer to three significant figures. Check the value of the root by
using the quadratic formula.
v = 3t^2 + 5t - 17 [V]

Added by Susan G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/11/2023

Step 1

- Connect the points to form a shape that represents the sensitive area for the sensor. Show more…

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a) The field of view for an infra-red detector has a non-linear area.Measurements of this sensitive area sensitive field is recorded at each point.The experimental data is given in the table below Vertical sensitive height[m] 12 12 12 6 2 2 12 12 Horizontal measurement point [m] 5 6 8 Sketch the total sensitive area for the field of view for the sensor and use a numerical integration technigue of your choice to quantify an estimate for this area b) Use the Newton-Raphson iterative method to determine the positive root of the quadratic voltage equation given below.Express your answer to three significant figures. Check the value of the root by using the quadratic formula v=3t+5t-17[V]

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Transcript

00:02 Hi, so we are given a circuit in which the main part is ir sensor.

00:11 So we just have to write down its description.

00:14 So let get started with solution.

00:17 First of all let me write down the concept.

00:20 That is ir sensor can be setup using an op -amp i .e.

00:28 Operational amplifier.

00:30 Here the amplifier will act like, act as a comparator.

00:39 Comparator means to say it is going to compare the two logic situations.

00:45 So in this way we can say the result will be, that is whenever there is a detection of the light, the output of comparator, the output of comparator goes high and turns the indicating device on.

01:03 So on the basis of this concept, let me write the whole assembly for this.

01:11 So circuit diagram you already have it.

01:15 So let's say the explanation.

01:18 So in the explanation we can write down that, we have to use the lm358 dual input op -amp, dual input as comparator, as the comparator.

01:31 The second point we write it down, whenever photo transistor detect, photo transistor detect the ir light, that is infrared light from photodiode, the output of op -amp comparator, output of op -amp goes on.

01:54 Means the led will turn on.

01:57 And as the non -inverting terminal, non -inverting terminal of this op -amp lm358 is above ground potential, that is 2 .5 volt, an inverting terminal connected to, inverting terminal connected to collector of photo transistor, collector of photo transistor.

02:24 And therefore, the comparator compares the ground with higher potential.

02:32 So let me show you it's by a table, that is here we say, photodiode, photo transistor...

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